Merry Christmas, readers. Hope you're looking forward to great things coming together in the next year, as I am.

Saturday, 25 December 2010
Friday, 17 December 2010
A Lexicon Christmas
Posted on 13:27 by Unknown
Thanks again to Keith at The JukeYard for servicing my Lexicon MPX-G2's. I now have four out of five done up with fresh batteries and thorough checkups.
While doing this project, I lamented to Keith that it was too bad the MPX-G2's tuner wasn't able to calibrate to the A= 432Hz philosophical pitch I tune to. Well, it does! Sure enough, I had missed a level in the Tuner Edit Menu that allows offset in cents. It comes out that -33¢ is equal to A= 432 (For some reason, the Axon AX-100 Mk II zeros in on 432 at -34¢), so I was able to eliminate the Behringer BTR2000 Racktuners from my rigs, which has made them 1U smaller. Additionally, the Lexicon MPX-R1 MIDI Remote Controllers I use have a Tuner Function, so I'm able to use that again, which is far superior to having a separate mute switch for the Behringers.
Here's my day-to-day rig, now down to just 3U:

And for the larger venues, I have a Lexicon 212 - which is just a Bryston 3B-ST with a Lexicon faceplate - instead of the Bryston 2B-LP, which makes 5U (The SKB Rolling Rack was the only one of 5U I could find).

Finally, without the BTR2000, my synth rig has gone from 8U with a vent panel to 6U!

You can see why I called this post A Lexicon Christmas: Three MPX-G2's, an NT 212, and an I-ONIX fw810s.
Not in this post are the 4U rack, which uses a MESA Stereo Simul-Class 2: Ninety tube power amp, and my main recording rig, which is still a work in progress. Keith says I'm a musical mad scientist, to which I reply, MuaHahahaha!
Merry Christmas!

While doing this project, I lamented to Keith that it was too bad the MPX-G2's tuner wasn't able to calibrate to the A= 432Hz philosophical pitch I tune to. Well, it does! Sure enough, I had missed a level in the Tuner Edit Menu that allows offset in cents. It comes out that -33¢ is equal to A= 432 (For some reason, the Axon AX-100 Mk II zeros in on 432 at -34¢), so I was able to eliminate the Behringer BTR2000 Racktuners from my rigs, which has made them 1U smaller. Additionally, the Lexicon MPX-R1 MIDI Remote Controllers I use have a Tuner Function, so I'm able to use that again, which is far superior to having a separate mute switch for the Behringers.
Here's my day-to-day rig, now down to just 3U:
And for the larger venues, I have a Lexicon 212 - which is just a Bryston 3B-ST with a Lexicon faceplate - instead of the Bryston 2B-LP, which makes 5U (The SKB Rolling Rack was the only one of 5U I could find).
Finally, without the BTR2000, my synth rig has gone from 8U with a vent panel to 6U!
You can see why I called this post A Lexicon Christmas: Three MPX-G2's, an NT 212, and an I-ONIX fw810s.
Not in this post are the 4U rack, which uses a MESA Stereo Simul-Class 2: Ninety tube power amp, and my main recording rig, which is still a work in progress. Keith says I'm a musical mad scientist, to which I reply, MuaHahahaha!
Merry Christmas!
Wednesday, 17 November 2010
The Juke Yard: Lexicon MPX-G2 Service and Repair
Posted on 19:27 by Unknown
First of all, if you own a Lexicon MPX-G2, you need to join the STEC Records MPX-G2 Forum. The site administrator there, Bob Sellon, is a former Lexicon employee who helped design the MPX-G2, and that is where I met Keith of The Juke Yard, which is where Bob sends his G2's for service.
If you have a Lexicon MPX-G2, you ought to know that it uses a backup battery to keep the user programs in memory. When that battery fails, "poof," all of your programs are gone. Since I have played through nothing but MPX-G2's for over ten years now - it is the best combination preamp and effects unit ever made for guitarists still, after being discontinued for several years - I'm very paranoid about the backup batteries, because I have literally hundreds of man hours worth of programming stored in them. I say them, because I have five MPX-G2's now. One reason for so many is my paranoia about losing all of that programming work... the other is that I'm a gearoholic who, "needs" five different rigs for every conceivable type of venue and recording situation.
Well, that memory backup battery isn't just a regular watch type battery that you can easily replace, it's a special type that needs to be un-soldered to remove, and re-soldered to replace. I'm terrible with that stuff, so I had Keith do two of my units last week (I'll send two others to him after Thanksgiving). Turnaround was super-fast, the work was excellent, and he also checked out every function to make sure they were 100%. IMO, there's no substitute for the peace of mind I get from having a pro do this kind of work, so by New Years, My G2's will be set for another decade of gigging and recording.
Keith also works on other Lexicon gear - and juke boxes, of course - so if you have a dead Jam Man, send him an email and bring that puppy back on line.
But wait, there's more. STEC Records also has a dump tool for Windows users that allows for all of the MPX-G2 user programs to be dumped to a PC for safekeeping! I'm going to put Windows on one of my Intel Macs so I can use that and also the Windows-only FSeqEdit program for my Yamaha FS1R's.
So, I'm happy to welcome The Juke Yard to the, "Hucbald Endorses" section of my sidebar.
Saturday, 13 November 2010
Learning to Play MIDI Guitar
Posted on 00:27 by Unknown
I've been controlling synthesizers with guitars since before MIDI was even invented. I saw this ad for the Synclavier guitar system in Guitar Player magazine and had to have one. The smallest 8-voice monophonic guitar system was $19.500.00... yeah, I had to scrape, scrounge, and sell a lot of stuff to even get in the door. That system eventually grew into a 32-voice stereo system with 8 MIDI outs, SMPTE, the Velocity/Pressure keyboard and a Terminal Support Option. It was ridiculously expensive, but getting it was the single best decision I ever made in my life. No way I'd be anywhere near the musician I am today if I hadn't.
Speaking of today, now it's easier than ever to set up a MIDI guitar system. Back in my Synclavier guitar days, we were working with the original Roland GR series guitars, and setting them up just right so that they tracked properly could be a nightmare. I went through at least three Roland GR guitars before I found the Steinberger GL2T-GR that ended up being, 1] an awesome playing ax and, 2] something that had the required Roland pickup.
Here's a knot-head with a GL2T-GR who has no earthly idea what he has or how to use it:
Hey buddy, I'll take that off your hands and pay you well. Sheesh, I'd be rescuing that poor ax. lol.
Anyway, that was back when you could only control a synthesizer with a steel string guitar, because all of the available hexaphonic pickups were magnetic. Now, with piezoelectric saddle designs like the RMC Polydrive II's that are installed in my Blackbird Rider Nylon/RMC guitars, we classical-based players can get into the act too (Not that any of the uptight, painfully self-conscious traditional classical guitarists would ever go out on such a limb).
That brings me to Point 1: The most important decision you'll make when you decide to play MIDI guitar is which guitar to use and most importantly, which pickup system to put in it. Even if you play steel string guitars, you'll be better off with a hexaphonic piezoelectric design in which the strings make physical contact with the transducers: There's nothing better - or more reliable - than a physical connection between the string and the pickup elements. No electromagnetic hex pickup will ever be as good.
One of the main reasons why this is the case is that the RMC systems isolate the transducers from the body of the guitars: If you are using them as just regular guitar pickups, you can hit the body of the guitar and no sound will come out of the amp at all. Flamenco guys hate that, of course, but without all of those sympathetic resonances coming from the body of the guitar, the interface has an easier time picking up the fundamental, and less chance of getting confused and mis-tracking.
So, settle for nothing less than an RMC Polydrive.
Now for Point 2: Which guitar-to-MIDI interface should you get? Before getting back into MIDI guitar, I researched every guitar-to-MIDI system that had been made since 1990. There are several usable units out there, but almost none of the older ones are optimized for piezoelectric transducers. The Blue Chip Axon AX 100 - which later became the Terratec Producer AX 100 Mk II - and the Terratec Axon AX 50 USB are really the only choices now.
I said now, but unfortunately Terratec has discontinued the Axon lines, and so they are an eBay-only item now. This has caused a huge spike in their prices - I saw an AX 50 USB go for $1,009.00 a week or so ago - so if you're smart, you'll try to land an older Blue Chip model. That's what I did: I got a Blue Chip Axon AX 100 SB (With the then-optional GM sound card) for half of what that AX 50 USB went for. Terratec Axon AX 100 Mk II's are going for around $1,500.00 right now: I paid less than that for NIB unit a year ago! So yes, I have two Axon AX 100's: A used Blue Chip and a new Terratec (One of the very last ones sold new, evidently).
So, you've chosen your guitar, gotten your RMC Polydrive installed, and snagged an Axon: Now what? If you got an AX 100 SB or an AX 100 Mk II, stop right there! Since they have onboard sounds - even if they are cheesy GM samples - you can keep your first rig dead solid simple and learn to play it. That's what I did. I just learned my way around the Axon for a year before I decided to add a more interesting sounding MIDI synthesizer sound module.
If you've read this far, I can give you the bad news now: Statistically speaking, I have almost no chance of being wrong when I tell you that, you will fail. It'll be too difficult to learn the Axon (You'll have to spend a lot of time reading the manual), you'll be unwilling to improve your technique so the synth tracks (You have to play very clean and deliberately), and you'll give up. Think about it: How many guitarists do you see out gigging with a MIDI guitar rig? My admittedly anecdotal experience is exactly none. Back in my Synclavier days, there was John McLaughlin, Pat Metheny, Al Dimeola, Frank Zappa... and me. And out of all of us, I was the only guy who played the Synclavier live on every song in the set.
The point is, you have to have a powerful need to succeed, you have to be willing to invest a lot of time learning, and most of all, you have to be resolved to radically altering your technique to make it all work. Almost no guitarists are ambitious and disciplined enough to do it, and that's just the way it is.
Now back to you Axon AX 50 USB guys. I really want one of those for the USB connection to my computer, but I'm not willing to spend over $1K on one. If you do have an AX 50 USB, though, there is no sound card in it, so you'll need something to play with it. In the keeping it as simple as possible department, any GM sound module like a Roland SC-88 would work, or you could use the USB connection to play the sounds inside your computer. Every Mac, for example, has a GM sound set in it.
My personal philosophy is that samples suck, and pure synthesized sounds are much more interesting. Ten plus years of Synclavier programming will do that to you. So, just as soon as I was comfortable with the Axon, I added a Yamaha FS1R FM/Formant Sequence synthesizer sound module to my rig - it's going to take a couple of years to become a virtuoso programmer of this thing - which is the best synth ever, if you like digital.
Check this out:
The formants allow you to program this synth to talk! Like I say, screw samples.
If you're into the old fat analog sound, there are just a gazillion older Roland analog synth sound modules you could get into, but remember to keep is as simple as possible at first and master one task at a time. No matter how good you are with this stuff, you can overwhelm yourself with a complex MIDI guitar system if you don't take it a step at a time. I've been playing synth guitar for twenty-five years, and when I got the Axon, I started over from scratch: Playing scales cleanly so the unit could track them.
If you end up one of the few winners in this game, you'll end up with a rig that looks ominously cool on a darkened stage before the lights come up (Hey, these considerations are important)...

... you'll be playing some very high tech guitars...

... and you'll be the hero who tamed the digital beast.
Good luck... you're gonna need it. lol.

Speaking of today, now it's easier than ever to set up a MIDI guitar system. Back in my Synclavier guitar days, we were working with the original Roland GR series guitars, and setting them up just right so that they tracked properly could be a nightmare. I went through at least three Roland GR guitars before I found the Steinberger GL2T-GR that ended up being, 1] an awesome playing ax and, 2] something that had the required Roland pickup.
Here's a knot-head with a GL2T-GR who has no earthly idea what he has or how to use it:
Hey buddy, I'll take that off your hands and pay you well. Sheesh, I'd be rescuing that poor ax. lol.
Anyway, that was back when you could only control a synthesizer with a steel string guitar, because all of the available hexaphonic pickups were magnetic. Now, with piezoelectric saddle designs like the RMC Polydrive II's that are installed in my Blackbird Rider Nylon/RMC guitars, we classical-based players can get into the act too (Not that any of the uptight, painfully self-conscious traditional classical guitarists would ever go out on such a limb).
That brings me to Point 1: The most important decision you'll make when you decide to play MIDI guitar is which guitar to use and most importantly, which pickup system to put in it. Even if you play steel string guitars, you'll be better off with a hexaphonic piezoelectric design in which the strings make physical contact with the transducers: There's nothing better - or more reliable - than a physical connection between the string and the pickup elements. No electromagnetic hex pickup will ever be as good.
One of the main reasons why this is the case is that the RMC systems isolate the transducers from the body of the guitars: If you are using them as just regular guitar pickups, you can hit the body of the guitar and no sound will come out of the amp at all. Flamenco guys hate that, of course, but without all of those sympathetic resonances coming from the body of the guitar, the interface has an easier time picking up the fundamental, and less chance of getting confused and mis-tracking.
So, settle for nothing less than an RMC Polydrive.
Now for Point 2: Which guitar-to-MIDI interface should you get? Before getting back into MIDI guitar, I researched every guitar-to-MIDI system that had been made since 1990. There are several usable units out there, but almost none of the older ones are optimized for piezoelectric transducers. The Blue Chip Axon AX 100 - which later became the Terratec Producer AX 100 Mk II - and the Terratec Axon AX 50 USB are really the only choices now.
I said now, but unfortunately Terratec has discontinued the Axon lines, and so they are an eBay-only item now. This has caused a huge spike in their prices - I saw an AX 50 USB go for $1,009.00 a week or so ago - so if you're smart, you'll try to land an older Blue Chip model. That's what I did: I got a Blue Chip Axon AX 100 SB (With the then-optional GM sound card) for half of what that AX 50 USB went for. Terratec Axon AX 100 Mk II's are going for around $1,500.00 right now: I paid less than that for NIB unit a year ago! So yes, I have two Axon AX 100's: A used Blue Chip and a new Terratec (One of the very last ones sold new, evidently).
So, you've chosen your guitar, gotten your RMC Polydrive installed, and snagged an Axon: Now what? If you got an AX 100 SB or an AX 100 Mk II, stop right there! Since they have onboard sounds - even if they are cheesy GM samples - you can keep your first rig dead solid simple and learn to play it. That's what I did. I just learned my way around the Axon for a year before I decided to add a more interesting sounding MIDI synthesizer sound module.
If you've read this far, I can give you the bad news now: Statistically speaking, I have almost no chance of being wrong when I tell you that, you will fail. It'll be too difficult to learn the Axon (You'll have to spend a lot of time reading the manual), you'll be unwilling to improve your technique so the synth tracks (You have to play very clean and deliberately), and you'll give up. Think about it: How many guitarists do you see out gigging with a MIDI guitar rig? My admittedly anecdotal experience is exactly none. Back in my Synclavier days, there was John McLaughlin, Pat Metheny, Al Dimeola, Frank Zappa... and me. And out of all of us, I was the only guy who played the Synclavier live on every song in the set.
The point is, you have to have a powerful need to succeed, you have to be willing to invest a lot of time learning, and most of all, you have to be resolved to radically altering your technique to make it all work. Almost no guitarists are ambitious and disciplined enough to do it, and that's just the way it is.
Now back to you Axon AX 50 USB guys. I really want one of those for the USB connection to my computer, but I'm not willing to spend over $1K on one. If you do have an AX 50 USB, though, there is no sound card in it, so you'll need something to play with it. In the keeping it as simple as possible department, any GM sound module like a Roland SC-88 would work, or you could use the USB connection to play the sounds inside your computer. Every Mac, for example, has a GM sound set in it.
My personal philosophy is that samples suck, and pure synthesized sounds are much more interesting. Ten plus years of Synclavier programming will do that to you. So, just as soon as I was comfortable with the Axon, I added a Yamaha FS1R FM/Formant Sequence synthesizer sound module to my rig - it's going to take a couple of years to become a virtuoso programmer of this thing - which is the best synth ever, if you like digital.
Check this out:
The formants allow you to program this synth to talk! Like I say, screw samples.
If you're into the old fat analog sound, there are just a gazillion older Roland analog synth sound modules you could get into, but remember to keep is as simple as possible at first and master one task at a time. No matter how good you are with this stuff, you can overwhelm yourself with a complex MIDI guitar system if you don't take it a step at a time. I've been playing synth guitar for twenty-five years, and when I got the Axon, I started over from scratch: Playing scales cleanly so the unit could track them.
If you end up one of the few winners in this game, you'll end up with a rig that looks ominously cool on a darkened stage before the lights come up (Hey, these considerations are important)...
... you'll be playing some very high tech guitars...
... and you'll be the hero who tamed the digital beast.
Good luck... you're gonna need it. lol.
Wednesday, 3 November 2010
Rack Building: The Mobile Yamaha FS1R Guitar Rack
Posted on 04:27 by Unknown
Sorry for the lack of posting recently, but since getting to the critical mass point in understanding and programming the Yamaha FS1R, I have been hit with an urgency to get a rig together so I can gig with it. This has involved a lot of buying and selling on eBay, which is a slow process. For one thing, obscure discontinued gear like the Yamaha FS1R and EDIROL UM-880 don't appear every day, and for another buying and selling in auctions just takes time. The savings are worth it, however.
The third FS1R still hasn't appeared, and neither has a UM-880, but I did find a UM-550 which will work for the home recording rig, and I had enough gear to get the gig rig to a working configuration. Here it is!

Top to Bottom:
1] 17" 7200 RPM High Res MacBook Pro
2] Bryston 2B-LP Power Amp
3] Behringer BTR2000 Racktuner
4] Lexicon MPX-G2 Guitar Effects Processor
5] Axon AX-100 Mk II Guitar to MIDI Interface
6] Blank Vent Panel
7] Lexicon I-ONIX FW810s Mixer/Recording Interface
8] Yamaha FS1R FM/Formant Sequence Digital Synthesizer
9] Furman AR-1215 Line Voltage Regulator
Dragging a 17" 7200 RPM High Res MacBook Pro to a gig might seem like a lot of trouble, but the Lexicon FW810s requires one just to mix - it unfortunately defaults to mono without a computer - and I've hated every other 1U mixer I've ever tried: The preamps are just horrible in the cheaper gear. Also, of course, I can record live using the MacBook Pro, which is a big part of the mission of this rig.
I detest every solid state power amp made except for Brystons, for reasons that ought to be obvious to the cognoscenti.
The Behringer Racktuner is still the only rack mount tuner that can calibrate to the A= 432 Hz that I tune to.
Even Roland can't touch the Axon AX-100 Mk II, but I understand that TerraTech may have discontinued it. Oh well. They wouldn't be the first company, by far, that has failed to make a guitar-to-synth interface financially viable: ARP was killed by the Avatar as far back as the 80's.
Eventually I'd like to have an EDIROL UM-880 MIDI interface/merger/patch bay in place of the blank vent panel so I can program this rack's FS1R too - and have this rig as an alternate recording environment - but right now it's a pure performance setup with MIDI thru from the MPX-G2 going to the AX-100 Mk II for program changes, MIDI out from the AX-100 Mk II going to the FS1R to drive it, and MIDI thru from the FS1R going to the FW810s for recording MIDI tracks.
I love the Lexicon FW810s. It has better preamps and a crisper, cleaner sound than any of the various Digidesign recording interfaces I've tried, and it's 1U: Digi can't seem to put a recording interface into anything less than 2U, and their preamps sound like crap, IMO. Overly bright and very harsh sounding.
The mighty Yamaha FS1R. The greatest digital synthesizer ever made. It can do a lot of things even my old Synclavier couldn't do, and it has higher bit resolution and a suite of onboard effects. There is no other synth that I think is worth my time to learn.
No cheap power conditioners for me. The Furman AR-1215 is an actual line voltage regulator with an isolation transformer. The kind of clean and steady voltage it delivers is even more important if you use analog synths or tube amps (Two of my other rigs use MESA/Boogie power amps).
The Lexicon transformer plugged into the face of the Furman powers a Lexicon MPX-R1 MIDI foot controller, which is not pictured. It allows me to control the rig remotely.
So there it is.
I'm currently working on the dedicated stay-at-home programming and recording rig, which will have two FS1R's in it. No telling when another pristine FS1R will appear on eBay, much less an EDIROL UM-880: Nobody who has a UM-880 seems willing to part with it.

Couldn't decide if I wanted to post a redhead or a brunette.
The third FS1R still hasn't appeared, and neither has a UM-880, but I did find a UM-550 which will work for the home recording rig, and I had enough gear to get the gig rig to a working configuration. Here it is!
Top to Bottom:
1] 17" 7200 RPM High Res MacBook Pro
2] Bryston 2B-LP Power Amp
3] Behringer BTR2000 Racktuner
4] Lexicon MPX-G2 Guitar Effects Processor
5] Axon AX-100 Mk II Guitar to MIDI Interface
6] Blank Vent Panel
7] Lexicon I-ONIX FW810s Mixer/Recording Interface
8] Yamaha FS1R FM/Formant Sequence Digital Synthesizer
9] Furman AR-1215 Line Voltage Regulator
Dragging a 17" 7200 RPM High Res MacBook Pro to a gig might seem like a lot of trouble, but the Lexicon FW810s requires one just to mix - it unfortunately defaults to mono without a computer - and I've hated every other 1U mixer I've ever tried: The preamps are just horrible in the cheaper gear. Also, of course, I can record live using the MacBook Pro, which is a big part of the mission of this rig.
I detest every solid state power amp made except for Brystons, for reasons that ought to be obvious to the cognoscenti.
The Behringer Racktuner is still the only rack mount tuner that can calibrate to the A= 432 Hz that I tune to.
Even Roland can't touch the Axon AX-100 Mk II, but I understand that TerraTech may have discontinued it. Oh well. They wouldn't be the first company, by far, that has failed to make a guitar-to-synth interface financially viable: ARP was killed by the Avatar as far back as the 80's.
Eventually I'd like to have an EDIROL UM-880 MIDI interface/merger/patch bay in place of the blank vent panel so I can program this rack's FS1R too - and have this rig as an alternate recording environment - but right now it's a pure performance setup with MIDI thru from the MPX-G2 going to the AX-100 Mk II for program changes, MIDI out from the AX-100 Mk II going to the FS1R to drive it, and MIDI thru from the FS1R going to the FW810s for recording MIDI tracks.
I love the Lexicon FW810s. It has better preamps and a crisper, cleaner sound than any of the various Digidesign recording interfaces I've tried, and it's 1U: Digi can't seem to put a recording interface into anything less than 2U, and their preamps sound like crap, IMO. Overly bright and very harsh sounding.
The mighty Yamaha FS1R. The greatest digital synthesizer ever made. It can do a lot of things even my old Synclavier couldn't do, and it has higher bit resolution and a suite of onboard effects. There is no other synth that I think is worth my time to learn.
No cheap power conditioners for me. The Furman AR-1215 is an actual line voltage regulator with an isolation transformer. The kind of clean and steady voltage it delivers is even more important if you use analog synths or tube amps (Two of my other rigs use MESA/Boogie power amps).
The Lexicon transformer plugged into the face of the Furman powers a Lexicon MPX-R1 MIDI foot controller, which is not pictured. It allows me to control the rig remotely.
So there it is.
I'm currently working on the dedicated stay-at-home programming and recording rig, which will have two FS1R's in it. No telling when another pristine FS1R will appear on eBay, much less an EDIROL UM-880: Nobody who has a UM-880 seems willing to part with it.
Tuesday, 19 October 2010
Yamaha FS1R Editor for Mac OS X
Posted on 07:27 by Unknown
It's been about five years since I sold my New England Digital made Synclavier Digital Music System, which I had for a full twenty years since 1984. I loved that thing because it was a digital additive/FM synthesizer that could make unique never before heard sounds, I could play it with a Roland GR pickup equipped guitar (I used a Steinberger GL2T-GR axe), plus it had a thirty-two track sequencer that operated just like an analog or digital tape deck, but with all of the editing advantages a virtual digital world brings.
For years after I got it I would spend hours every day pouring through the several phone-book-sized manuals and just messing with its synthesis capabilities. I got so good at it that within a couple of years, New England Digital was distributing many of my timber programs, including the sound effects that gave me minor fame, with every new Synclavier sold.
For an idea of where that curiosity about the nature of sound lead me, here's a piece I created with the Synclavier way back in 1994 - a full ten years after I got it - when I was a doctoral candidate at UNT. Almost every sound in that - with the exception of the church bell, I think - is something I created from scratch just starting with a sine wave and an FM ratio. Not only that, but all you'll hear in that is the Synclavier: No reverb, effects, or even EQ. That was recorded straight out of the Synclavier's stereo outs into a DAT deck.
Of course, I also have the Synclavier to thank for making me aware of the fact that music works because the overtone sonority is a dominant seventh chord. There's nothing like directly messing with the harmonic series through additive digital synthesis to make one aware of the true nature of sound: The Synclavier enabled me to mess with both the amplitude and the phase relationships of the harmonics out to P32, apply FM to the resulting waveforms, and then to even crossfade a series of them together (Which is how I created my groundbreaking sound sculptures like in the background of this Synclavier sequence).
Well, when I switched to nylon string guitars in 1988, I initially went through a back-to-basics pure acoustic phase as a player. I still used the Synclavier for electronic music composing, but I wasn't really interested in playing it with a guitar anymore. My acoustic phase was short lived, however, as I soon missed my phase, flange, chorus, and reverb effects. Plus, performing with an acoustic classical guitar is a loser's game, as even polite conversation can drown it out. So, by 1990 I was experimenting with electric nylon string guitars, and finally in 1998 Lexicon came out with the MPX-G2, so it took a full eight years just to find a preamp/effects unit I liked.
As for electric nylon string guitars - sheesh, what a grueling ordeal that has been - I started out with the only game in town at the time, which was a Gibson Chet Atkins CEC. It weighed a ton and was a pain to EQ. The Godin's were the breakthrough because of the RMC Polydrive hexaphonic pickups... which can run synthesizers. But it wasn't until I discovered the Blackbird Rider Nylon guitars just last year that I finally had an axe that I was over 90% satisfied with (The Rider's fingerboard is radiused, whereas it ought to be flat). The Rider Nylon can also be had with the RMC Polydrive, of course, and I now have two of them and play them exclusively.
Having the sound system and guitar sorted out - a process that took twenty years! - naturally lead me back to thinking about playing synthesizers with the Polydrive equipped Rider Nylons. So, I got a Terratec Axon AX-100 Mk II guitar to MIDI interface, but it just had a GM sound card, and wasn't a synth. that lead me to discover the Yamaha FS1R formant sequence/FM synthesizer, which I had never even heard of before last year. It had slipped under my radar between the time I stopped playing the Synclavier and when I started getting interested in synthesis as a performer again.
I was fortunate to find a virtually new one on eBay - they were only made for a couple of years - that had never seen a rack, and so I was off - or so I thought. Like a lot of Yamaha products - even the classic DX-7 - the programming architecture was tortuous to navigate. It was even worse than the DX-7 because everything was compressed onto a 1U rack faceplate! Additionally, there was no way to edit the formant sequences even on the unit itself: A major flaw, as the formant sequences were one of my primary points of interest.
Back in my Synclavier days - after the MIDI option came out for it - I had eight MIDI outputs to work with, so I paired it up with a Yamaha TX-816, which ammounted to eight DX-7's in a 4U rack chassis. Well the individual TF-1's - that's what the DX-7 modules were called - had no programming controls at all on them, so this was the first thing I ever encountered that required a computer software editor. Back then - we're in 1986 - the best one in terms of intuitive usability ran on the old Commodore 64: That was my first experience with a GUI, and it was earth-shattering (I wasn't a Mac guy then, obviously). It worked fantastically, and I learned the Yamaha carrier/modulator algorithm architecture, so I already knew a lot of what is in the FS1R - it can actually load play DX-7/TF-1 programs - but I needed an editor.
Well, a link at the bottom of the Wikipedia FS1R page lead me to the website of Japanese Mac programmer and synthesizer programming virtuoso K_Take.
K has written a fantastic FS1R Editor for Mac OS X, and it's available as a free download!
There were a few problems, as I don't think the FS1R Editor will work with FireWire MIDI interfaces. At least, it wouldn't boot with my Lexicon I-ONIX FW810s. So, I got one that was in a screenshot on his website, the EDIROL UM-2ex. After installing it and downloading the advanced driver, it worked perfectly. Now, however, I have to find one of the discontinued UM-880's for a rack mount version (I need one for my growing studio anyway).
I finally got it all set up last week.
The G5 PowerMac is running the FS1R Editor, the M-Audio KeyRig 49 - I program sysnths with a keyboard, not from the guitar - the UM-2ex, and the lower of the two FS1R's in the rack. That's right, I now have two FS1R's; one to program, and one to play with the guitar.
The MacBook Pro runs the FW810s mixer, and so it does the guitar rig part of the rack, which is everything else in it. I also record with the MacBook Pro using the 810s and Garageband or Cubase LE.
As you can see, it's a tight setup, and I can perform, record, and program without moving at all. The tiny Apple wireless bluetooth keyboard and the Kensington trackball were absolutely essential, as was a USB keyboard of not more than four octaves plus the obligatory semitone.
Eventually - when I start performing with this rack - the second FS1R will split off into a dedicated stay-at-home recording rack, but right now it's excellent for programming and having a second unit to back everything up to (I had to replace one battery already, which is thankfully very easy).
When you first launch the FS1R Editor, you are greeted with the MIDI Interface Setting window. The very first time you do this, you have to use the drop-downs to select everything. After that, it comes up just like this, unless you forget something like powering up your keyboard, in which case you have to quit, turn it on, and relaunch: It won't recognize a keyboard that is powered up at this stage of the game.
After you click OK, FS1R Editor scans the FS1R, which takes several seconds, and then greets you with the Performance page of the editor, which actually has four pages in it. This is the Part Parameter page, and since an FS1R Performance program can have up to four parts, you select those with the buttons at the top left of the recessed field.
The MMM template is 700 pixels wide, and the actual window is 1000p in width, so this is 300 pixels narrower than actual: It's plenty big enough to work on comfortably, but a trackball does help to accurately grab and move the small sliders.
The second Performance page has the Formant Sequence selection and control. yes, you can create formant sequences but I haven't tried that out yet.
Master tuning and transposition is on the right - very handy since I tune to A=432 - and you can also transpose the entire unit here.
One of the very best things about the FS1R is that it contains a full suite of onboard effects: Reverb, phase, flange, chorus and three band parametric EQ. K hasn't made the FS1R Editor anything like graphic-intensive, but the routing schematic is particularly useful here, as is the EQ shape and scale.
The final Control page of the Performance section allows for assignment of the knobs and MIDI controllers, and their sensitivity settings. There's a helpful Default Setting button for when you get into, "Oh my God, what have I done?" territory.
The Voice page is where most of the fun happens for me, as this is where you create sounds. It took me a minute to notice, but the Common Parameter box on the left actually has six pages to it, which are the sideways buttons along the left. This is unusual, but I'm sure K did that because they wouldn't all fit horizontally along the top. The LFO box is what you get when you first hit the page.
Believe it or not, the programming section on the right reminds me of a high resolution version of the old Commodore 64 program I had to program the TX-816: very simple, straight forward, intuitive, and self-explanatory. The graphics are just what's needed: The pic of the algorithm selected, the shape of the envelope, and the Frequency-based Envelope Generator.
Yes, we have filters, just like an analog synth.
And the filters have envelopes, of course, which is another nice place for a simple graphic representation and intuitive faders.
The Pitch Envelope Generator.
Here's the Formant Control section. It's a mix-and-match section for the internal formants unless you initialize one from scratch (As I understand it at this point, which isn't very well yet).
And finally, the FM Control box. You select the voiced and unvoiced operator to work with to the right, just under the algorithm graphic, by the way.
There's an on screen keyboard you can use if you don't have a USB or MIDI keyboard, but I found this very unsatisfactory to use. I need a physical keyboard for immediate feedback.
To summarize, this is a very compact and elegant little program that is an absolute must have if you have an FS1R and wish to program it. Can you imagine how long it would take to get to some of this stuff just using the FS1R's faceplate controls? Me neither.
Much more to come about this, of course.
Monday, 18 October 2010
Why Music Works: Chapter Fifteen
Posted on 15:27 by Unknown
The Integrated Chromatic Contextual Systems: Chi, Psi, and Omega
PREFACE to All Posts:
This is to be the culmination of the Musical Relativity series of posts I did back in 2006, which can be found to your right in the sidebar. Back then I was calling the series Musical Implications of the Harmonic Overtone Series. Even before that, I did a series of posts called Harmonic Implications of the Overtone Series that started this all. Here, I am presenting the final weblog version of the evolving book I've decided to publish with the intention of getting some feedback before I create the final print version, which I plan to put into the ePub format for iBooks. So, please feel free to ask any questions about anything that you think I haven't made perfectly clear, and don't hesitate to offer any constructive criticisms or suggestions. Since this project is the accidental result of several decades of curios inquiry - and many prominent and also relatively anonymous theorists and teachers have contributed ideas to it (Which I will credit where memory serves and honor dictates) - I am eager to get a final layer of polish from any and all who may happen to read this series and find it useful, or potentially so. Since I am creating these posts as .txt files first, revision should be a simple process.
Since my pre-degree studies at The Guitar Institute of the Southwest and my undergraduate work at Berklee College of Music looked at music theory from the jazz perspective, and then my master of music and doctor of musical arts studies at Texas State and The University of North Texas were from the traditional perspective, a large part of how I discovered the things in this book-in-progress was the result of my trying to reconcile those different theoretical viewpoints. Since I want this work to be of practical value, I have retained all of the traditional theoretical nomenclature possible, and only added to it where necessary to describe phenomena that have not heretofore been present in musical analysis. I have, however, standardized terminology into what I think is the most logical system yet devised, and that will be explained as the reader goes along. There is a lot of built-in review and repetition - something I've learned from my decades of private teaching - so even a once-through with this systematic approach to understanding musical phenomena ought to be of significant benefit.
Outright addition to traditional musical analysis is limited to the symbology required to label root motion and transformation types so that the root motion and transformation patterns are visible: This greatly facilitates comprehension, and since good and bad harmonic continuities are separated by the effectiveness or lack thereof in the root motion and transformation patterns, this also actually functions as an aid to composition. All symbology - old and new - has been worked out over the past three decades so that everything is readily available with the standard letters, numbers, and symbols found on a QWERTY keyboard.
Finally, for the contextual systems, I have used the Greek alphabet: The normal diatonic systems - those comprised of two minor seconds and five major seconds - are Alpha, Beta, and Gamma. The exotic diatonic systems - those that contain a single augmented second - are Delta, Epsilon, and Zeta, and finally, the alien diatonic systems - those that contain two augmented seconds - are Eta, Theta, and Iota. Since the theoretical writings that started western art music out were handed down from ancient Greece, I thought this would be a fitting tribute, as well as a handy and logical classification scheme.
Basically, if you have a baccalaureate-level understanding of music theory from either a jazz or traditional perspective, you should have no problem understanding anything in this straight-forward treatise.
INTRODUCTION to Chapter Fifteen:
In chapter one, I demonstrated how the overtone sonority generates the three normal diatonic systems - those seven note systems that contain two semitones and five tones: Alpha, Beta, and Gamma - and then in chapter two we examined each of those systems in detail, discovering that the primacy of Alpha is due to the fact that all seven of its harmonies can be arranged in progressive order. In chapter three, we examined the contextualization of Alpha Prime, looking at the various different root progressions types it can exhibit, their various transformations, and through this we also started to look into the world of musical effect and affect. Chapter four was dedicated to examining how Beta Prime and Gamma Prime compared to Alpha, using the same musical proof formats developed in chapter three. Through those proofs, we discovered some very unusual harmonic effects that evoke the uncanny that are contained in the Beta and Gamma systems. Chapter five then took us out of the diatonic harmonic world and into the chromatic realm as we discovered the origins of the secondary dominant sub-system sonorities. After the secondary dominants, in chapter six, we looked at the secondary subdominant sub-system of harmonies, which completed a larger set of integrated chromatic systems, which we will look at in detail later.
Then in chapter seven, we looked at the exotic diatonic systems - those seven note contextual systems that contain a single augmented second: Delta, Epsilon, and Zeta - and in chapter eight we looked in detail at the root motion types they contain, and the unique harmonic effects that these unusual systems create. With the exotic systems out of the way, in chapter nine, I was free to demonstrate a phenomenon that is an artifact of patterned root progressions, which I pointed out earlier, and that is harmonic canon. Depending upon how harmonic canons are developed and set up, I showed how they can also exhibit the phenomena I call Musical Escher Morphs and Harmonic Mobius Loops. Returning to diatonic contextual systems in chapter ten, I introduced the alien diatonic systems - which are those seven note systems that contain two augmented seconds: Eta, Theta, and Iota - and then its companion, chapter eleven, examined the isolated root motion and transformation types in those alien systems.
After finishing analysis of the nine diatonic contextual systems with the comparative morphology example in chapter twelve, we then turned to the extra-diatonic contextual systems of Kappa, Lambda, and Mu in chapter fourteen. The penultimate chapter in this section of WMW, chapter fourteen, examined just versus equal temperament, and so now in fifteen - which is the final chapter in this section on harmonic aspects of music - we will put the secondary dominant and secondary subdominant sub-systems together into the integrated chromatic contextual systems of Chi, Psi, and Omega. I skipped to the end of the Greek alphabet here because there may be some other systems to add in the future (But I got every one that can be generated by the overtone resolutional paradigm, so far as I know).
*****
CHAPTER FIFTEEN:
EXAMPLE 73:

Listen to Example 73
Starting on the tonic of Alpha Prime, the resolutional paradigm takes us immediately to the primary subdominant, and then into the secondary subdominant contextual sub-system at the next resolution to bVII(M7), which is an Alpha 4/Lydian sonority. Further Lydian sonorities follow as we traverse the secondary subdominants through bIII(M7), bVI(M7), bII(M7), and finally bV(M7), which is an enharmonic sharped fourth degree. The next enharmonic progressive resolution to V(m7)/iii puts us into the secondary dominant contextual sub-system, and we traverse V(m7)/vi, V(m7)/ii, and V(m7)/V before arriving at the primary dominant preparation for the final progressive resolution to the tonic. So, the secondary subdominant contextual sub-system acts as a huge subdominant preparation for the most remote of the secondary dominants, which in turn act as a gargantuan dominant preparation for the return to the tonic: For centuries this was reduced to the kernel of I, IV, V, I, with the super-progression from IV to V literally short circuiting what the overtone series implied was the ultimate outcome for a major locus integrated chromatic contextual system.
Note that the V(m7)/iii does not have a diminished fifth when we follow the resolutional paradigm through the secondary subdominant sub-system: The paradigm rules that the root of the targeting chord is retained as the fifth of the target chord, so the G-flat is sustained as the enharmonic equivalent of F-sharp into the B major/minor seventh, eliminating the diminished fifth that Alpha Prime produces.
*****
EXAMPLE 74:

Listen to Example 74
If we perform the same exercise with pure minor, which is the Alpha 6 or Aeolian mode, instead of a series of major/major sevenths acting as subdominants, we get a series of minor/minor sevenths. Again, the secondary subdominants are a different species of harmony than the tonic, as they are Alpha 2/Dorian sonorities.
Paleo-theorists handled the minor modes differently with respect to where the secondary dominants reside, but through the examples here we see that the only real difference between major and minor is what gender the primary dominant resolves to. I resolved to a final major tonic to accentuate this, which is the ancient Tierce de Picardie practice that goes back as far as composers have been resolving to triads instead of open fifths: Musical intuition is a powerful force.
Note again that the transit through the secondary subdominant sub-system eliminates the diminished fifth in the Alpha Prime version of the V(m7)/iii.
*****
EXAMPLE 75:

Listen to Example 75
The Beta Prime contextual system showed us that a subdominant could be an overtone chord too, and with that we end up with a full chromatic cycle of overtone sonorities. Omega is a good name for this system, as, "beyond here there be dragons" so to speak. It is easy to get totally lost as to where you are without following the music or at least listening closely, and this will bring up the ultimate implication of the overtone sonorities resolutional paradigm in the following example.
I again ended with a Picardy third to imply that the tonic of this system could also be major.
*****
This is what is inescapably ingrained into us by the overtone series resolutional paradigm: An endless series of overtone sonorities resolving to major triads, which in turn acquire minor sevenths to become new overtone chords and continue the progressive cycle. If you have ever lived anywhere there are maple trees, it is an auditory analogue to watching a maple seed fall, spiraling to the ground with its gyroscopic spinning: I can land on a rock or on the ground, just as any of the following overtone sonorities can alight on a major or a minor tonic.
I have only provided a two octave cycle, but subconsciously this pattern fills the entire spectrum of human hearing.
EXAMPLE 76A:

EXAMPLE 76B:

Listen to Example 76
Sorry for the Bizarro World piano sound font, but I neglected to properly assign the PC88 Marcato Strings to that example. Arg.
*****
There are many, many possibilities for fully integrated contextual systems - which I think I'll put into an appendix in the final book - but I just want to demonstrate one that has all twenty-four major and minor tonics as well as the twelve overtone chords. Each tonic starts minor, becomes major, then acquires a major seventh, and finally a minor seventh to become an overtone sonority. Obviously - if you've been following to this point - this creates a strict double canon.
EXAMPLE 77:

Listen to Example 77
This could be further adorned with diminished fifths and minor ninths of course, but I really like this one.
That brings to a conclusion the section of WMW that deals with harmony. There are sections to follow on counterpoint, rhythm, and form, but I don't know when I'll get to them, because I have other projects I need to get to right now. In fact, I've been anxious to finish this up because of some things I'm getting to the critical mass point with, the primary one of which is my programming of the Yamaha FS1R FM/Formant Sequence digital synthesizer.
Stay tuned.

PREFACE to All Posts:
This is to be the culmination of the Musical Relativity series of posts I did back in 2006, which can be found to your right in the sidebar. Back then I was calling the series Musical Implications of the Harmonic Overtone Series. Even before that, I did a series of posts called Harmonic Implications of the Overtone Series that started this all. Here, I am presenting the final weblog version of the evolving book I've decided to publish with the intention of getting some feedback before I create the final print version, which I plan to put into the ePub format for iBooks. So, please feel free to ask any questions about anything that you think I haven't made perfectly clear, and don't hesitate to offer any constructive criticisms or suggestions. Since this project is the accidental result of several decades of curios inquiry - and many prominent and also relatively anonymous theorists and teachers have contributed ideas to it (Which I will credit where memory serves and honor dictates) - I am eager to get a final layer of polish from any and all who may happen to read this series and find it useful, or potentially so. Since I am creating these posts as .txt files first, revision should be a simple process.
Since my pre-degree studies at The Guitar Institute of the Southwest and my undergraduate work at Berklee College of Music looked at music theory from the jazz perspective, and then my master of music and doctor of musical arts studies at Texas State and The University of North Texas were from the traditional perspective, a large part of how I discovered the things in this book-in-progress was the result of my trying to reconcile those different theoretical viewpoints. Since I want this work to be of practical value, I have retained all of the traditional theoretical nomenclature possible, and only added to it where necessary to describe phenomena that have not heretofore been present in musical analysis. I have, however, standardized terminology into what I think is the most logical system yet devised, and that will be explained as the reader goes along. There is a lot of built-in review and repetition - something I've learned from my decades of private teaching - so even a once-through with this systematic approach to understanding musical phenomena ought to be of significant benefit.
Outright addition to traditional musical analysis is limited to the symbology required to label root motion and transformation types so that the root motion and transformation patterns are visible: This greatly facilitates comprehension, and since good and bad harmonic continuities are separated by the effectiveness or lack thereof in the root motion and transformation patterns, this also actually functions as an aid to composition. All symbology - old and new - has been worked out over the past three decades so that everything is readily available with the standard letters, numbers, and symbols found on a QWERTY keyboard.
Finally, for the contextual systems, I have used the Greek alphabet: The normal diatonic systems - those comprised of two minor seconds and five major seconds - are Alpha, Beta, and Gamma. The exotic diatonic systems - those that contain a single augmented second - are Delta, Epsilon, and Zeta, and finally, the alien diatonic systems - those that contain two augmented seconds - are Eta, Theta, and Iota. Since the theoretical writings that started western art music out were handed down from ancient Greece, I thought this would be a fitting tribute, as well as a handy and logical classification scheme.
Basically, if you have a baccalaureate-level understanding of music theory from either a jazz or traditional perspective, you should have no problem understanding anything in this straight-forward treatise.
INTRODUCTION to Chapter Fifteen:
In chapter one, I demonstrated how the overtone sonority generates the three normal diatonic systems - those seven note systems that contain two semitones and five tones: Alpha, Beta, and Gamma - and then in chapter two we examined each of those systems in detail, discovering that the primacy of Alpha is due to the fact that all seven of its harmonies can be arranged in progressive order. In chapter three, we examined the contextualization of Alpha Prime, looking at the various different root progressions types it can exhibit, their various transformations, and through this we also started to look into the world of musical effect and affect. Chapter four was dedicated to examining how Beta Prime and Gamma Prime compared to Alpha, using the same musical proof formats developed in chapter three. Through those proofs, we discovered some very unusual harmonic effects that evoke the uncanny that are contained in the Beta and Gamma systems. Chapter five then took us out of the diatonic harmonic world and into the chromatic realm as we discovered the origins of the secondary dominant sub-system sonorities. After the secondary dominants, in chapter six, we looked at the secondary subdominant sub-system of harmonies, which completed a larger set of integrated chromatic systems, which we will look at in detail later.
Then in chapter seven, we looked at the exotic diatonic systems - those seven note contextual systems that contain a single augmented second: Delta, Epsilon, and Zeta - and in chapter eight we looked in detail at the root motion types they contain, and the unique harmonic effects that these unusual systems create. With the exotic systems out of the way, in chapter nine, I was free to demonstrate a phenomenon that is an artifact of patterned root progressions, which I pointed out earlier, and that is harmonic canon. Depending upon how harmonic canons are developed and set up, I showed how they can also exhibit the phenomena I call Musical Escher Morphs and Harmonic Mobius Loops. Returning to diatonic contextual systems in chapter ten, I introduced the alien diatonic systems - which are those seven note systems that contain two augmented seconds: Eta, Theta, and Iota - and then its companion, chapter eleven, examined the isolated root motion and transformation types in those alien systems.
After finishing analysis of the nine diatonic contextual systems with the comparative morphology example in chapter twelve, we then turned to the extra-diatonic contextual systems of Kappa, Lambda, and Mu in chapter fourteen. The penultimate chapter in this section of WMW, chapter fourteen, examined just versus equal temperament, and so now in fifteen - which is the final chapter in this section on harmonic aspects of music - we will put the secondary dominant and secondary subdominant sub-systems together into the integrated chromatic contextual systems of Chi, Psi, and Omega. I skipped to the end of the Greek alphabet here because there may be some other systems to add in the future (But I got every one that can be generated by the overtone resolutional paradigm, so far as I know).
CHAPTER FIFTEEN:
EXAMPLE 73:
Listen to Example 73
Starting on the tonic of Alpha Prime, the resolutional paradigm takes us immediately to the primary subdominant, and then into the secondary subdominant contextual sub-system at the next resolution to bVII(M7), which is an Alpha 4/Lydian sonority. Further Lydian sonorities follow as we traverse the secondary subdominants through bIII(M7), bVI(M7), bII(M7), and finally bV(M7), which is an enharmonic sharped fourth degree. The next enharmonic progressive resolution to V(m7)/iii puts us into the secondary dominant contextual sub-system, and we traverse V(m7)/vi, V(m7)/ii, and V(m7)/V before arriving at the primary dominant preparation for the final progressive resolution to the tonic. So, the secondary subdominant contextual sub-system acts as a huge subdominant preparation for the most remote of the secondary dominants, which in turn act as a gargantuan dominant preparation for the return to the tonic: For centuries this was reduced to the kernel of I, IV, V, I, with the super-progression from IV to V literally short circuiting what the overtone series implied was the ultimate outcome for a major locus integrated chromatic contextual system.
Note that the V(m7)/iii does not have a diminished fifth when we follow the resolutional paradigm through the secondary subdominant sub-system: The paradigm rules that the root of the targeting chord is retained as the fifth of the target chord, so the G-flat is sustained as the enharmonic equivalent of F-sharp into the B major/minor seventh, eliminating the diminished fifth that Alpha Prime produces.
EXAMPLE 74:
Listen to Example 74
If we perform the same exercise with pure minor, which is the Alpha 6 or Aeolian mode, instead of a series of major/major sevenths acting as subdominants, we get a series of minor/minor sevenths. Again, the secondary subdominants are a different species of harmony than the tonic, as they are Alpha 2/Dorian sonorities.
Paleo-theorists handled the minor modes differently with respect to where the secondary dominants reside, but through the examples here we see that the only real difference between major and minor is what gender the primary dominant resolves to. I resolved to a final major tonic to accentuate this, which is the ancient Tierce de Picardie practice that goes back as far as composers have been resolving to triads instead of open fifths: Musical intuition is a powerful force.
Note again that the transit through the secondary subdominant sub-system eliminates the diminished fifth in the Alpha Prime version of the V(m7)/iii.
EXAMPLE 75:
Listen to Example 75
The Beta Prime contextual system showed us that a subdominant could be an overtone chord too, and with that we end up with a full chromatic cycle of overtone sonorities. Omega is a good name for this system, as, "beyond here there be dragons" so to speak. It is easy to get totally lost as to where you are without following the music or at least listening closely, and this will bring up the ultimate implication of the overtone sonorities resolutional paradigm in the following example.
I again ended with a Picardy third to imply that the tonic of this system could also be major.
This is what is inescapably ingrained into us by the overtone series resolutional paradigm: An endless series of overtone sonorities resolving to major triads, which in turn acquire minor sevenths to become new overtone chords and continue the progressive cycle. If you have ever lived anywhere there are maple trees, it is an auditory analogue to watching a maple seed fall, spiraling to the ground with its gyroscopic spinning: I can land on a rock or on the ground, just as any of the following overtone sonorities can alight on a major or a minor tonic.
I have only provided a two octave cycle, but subconsciously this pattern fills the entire spectrum of human hearing.
EXAMPLE 76A:
EXAMPLE 76B:
Listen to Example 76
Sorry for the Bizarro World piano sound font, but I neglected to properly assign the PC88 Marcato Strings to that example. Arg.
There are many, many possibilities for fully integrated contextual systems - which I think I'll put into an appendix in the final book - but I just want to demonstrate one that has all twenty-four major and minor tonics as well as the twelve overtone chords. Each tonic starts minor, becomes major, then acquires a major seventh, and finally a minor seventh to become an overtone sonority. Obviously - if you've been following to this point - this creates a strict double canon.
EXAMPLE 77:
Listen to Example 77
This could be further adorned with diminished fifths and minor ninths of course, but I really like this one.
That brings to a conclusion the section of WMW that deals with harmony. There are sections to follow on counterpoint, rhythm, and form, but I don't know when I'll get to them, because I have other projects I need to get to right now. In fact, I've been anxious to finish this up because of some things I'm getting to the critical mass point with, the primary one of which is my programming of the Yamaha FS1R FM/Formant Sequence digital synthesizer.
Stay tuned.
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