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From: <edgarrft@we...>  20080610 22:43:32

Paul Beach wrote: > It is trivial to calculate Equal Temperment; see Excel modul below for > the usual 12 tone as well as 31 tones. Nonlinear is usually mentioned > in the context of differential equations. The 12 tone scale is in every > computer music scale, as I have done, and always unavailable for > modification. If there is a reason to do a glide or glissado, frequency > modulation works quite well in Audacity. > > Sub et() > a440 = 440 > > 'Equal Temperment 12 tone > Cells(1, 1) = a440 > > For i = 2 To 12 > Cells(i, 1) = 2 ^ (i / 12) * 440 > Next i > > 'Equal Temperment 31 tone > > Cells(1, 3) = a440 > For k = 2 To 31 > Cells(k, 3) = 2 ^ (k / 31) * 440 > Next k > End Sub Edgar writes: If you only want to work with equal temperament, but a different numer of semitones than 12, the implementation in Nyquist is quite easy. The only point is that then it would probably not make much sense to work with MIDI natation any longer. But since the Nyquist lowlevel interface works in terms of physics (frequency in Hertz and time in seconds) it's not neccessary to use MIDI notation at all. If you have e.g. an a440 and want to compute the next higher semitone in 31TET, 2 ^ (1/31) *440, in Nyquist this would look like: ;; logarithmic math with Nyquist and XLISP: ;; nth power of x: (exp (* (log x) n)) ;; nth root of x: (exp (/ (log x) n)) (setf newhertzvalue (exp (* (log 2.0) (/ 1.0 31.0)))) IMPORTANT: write 31.0, a Lisp FLONUM, because (/ 1 31) would be a FIXNUM (integer) computation and result in a value of zero. It's sufficient if ONE of both numbers is a FLONUM to get a FLONUM result. A general 31TET transformation function would look like: (defun 31tet (k) (* (exp (* (log 2.0) (/ k 31.0))) 440.0)) NOTE: You only need to exchange the "31.0" by another factor to get a different TET scaling. Because all Nyquist MIDI functions internally work with FLONUMS (the MIDI "step" in Nyquist is just a word but not a real "step") you can use the "31tet" function like: ;; a sinewave, 4 31TET semitones higer than a440 ;; (osc (hztostep (31tet 4))) ;; a sinewave, 6 31TET semitones lower than a440 ;; (osc (hztostep (31tet 6))) One step further, a 31TET sine oscillator would look like this: (defun 31tetosc (k) (osc (hztostep (31tet k)))) The same way you can modify any Nyquist oscillator you like to a different TET tuning scale. For oscillators which need Hertz values just omit the "hztostep" transformation. NOTE: How much the Nyquist pitch transformation environment works with the TET functions is a different question (still not tested yet).  edgar  The author of this email does not necessarily endorse the following advertisements, which are the sole responsibility of the advertiser: _____________________________________________________________________ Der WEB.DE SmartSurfer hilft bis zu 70% Ihrer Onlinekosten zu sparen! http://smartsurfer.web.de/?mc=100071&distributionid=000000000066 
From: paul beach <sniffyraven@fa...>  20080610 13:48:15

Hi again, It is trivial to calculate Equal Temperment; see Excel modul below for the usual 12 tone as well as 31 tones. Nonlinear is usually mentioned in the context of differential equations. The 12 tone scale is in every computer music scale, as I have done, and always unavailable for modification. If there is a reason to do a glide or glissado, frequency modulation works quite well in Audacity. Sub et() a440 = 440 'Equal Temperment 12 tone Cells(1, 1) = a440 For i = 2 To 12 Cells(i, 1) = 2 ^ (i / 12) * 440 Next i 'Equal Temperment 31 tone Cells(1, 3) = a440 For k = 2 To 31 Cells(k, 3) = 2 ^ (k / 31) * 440 Next k End Sub 440 440 493.883303 460.1230246 523.2511306 470.5270664 554.3652658 481.1663586 587.3295318 492.0462204 622.2539674 503.1720915 659.2551047 514.5495345 698.4564725 526.1842378 739.9888454 538.0820184 783.9908612 550.248825 830.6094066 562.6907405 880 575.4139855 588.4249214 601.7300532 615.3360332 629.2496638 643.4779149 658.0278603 672.9068284 688.1222031 703.6816481 719.592885 735.8639279 752.5028517 769.5180368 786.9179276 804.7112877 822.9069476 841.5140719 860.5418948 880 On Tue, 10 Jun 2008 02:21:29 +0200, edgarrft@... said: > Hi paul, > > > Hello, > > Equal temperment is sometimes considered poor because it does not align > > very well with the major third. There are other schemes here: > > > > http://en.wikipedia.org/wiki/Equal_temperament > > > > In particular when the next semitone is the 22nd root or 31st root of > > two then; the third and fifth come into good alignment. > > > > Is there a methodical way to implement this > > Edgar: depends on what you want to do. > > Nyquist 'hztostep' and 'steptohz' for computing tuning pitch out of > MIDI > values and vice versa are defined in 'nyquist.lsp' around line 600 ff. > > To make the pitch transformation environment work right in a nonlinear > tuning system is a more difficult task, because it depends on linear > transformations. How would you e.g. implement a glissando in a nonlinear > environment? I have no idea. > > I first need to have a closer look at the math on the wiki page. There > also is a chapter about alternative tuning systems in Rick Taube's Common > Music (but with the conclusion that this will probably never work with > computers if I remember right). > > Maybe Roger can help with more details. > >  edgar > > > > >  > The author of this email does not necessarily endorse the > following advertisements, which are the sole responsibility > of the advertiser: > > _______________________________________________________________ > Schon gehört? Der neue WEB.DE MultiMessenger kann`s mit allen: > http://www.produkte.web.de/messenger/?did=3016 > > >  > Check out the new SourceForge.net Marketplace. > It's the best place to buy or sell services for > just about anything Open Source. > http://sourceforge.net/services/buy/index.php > _______________________________________________ > Audacitynyquist mailing list > Audacitynyquist@... > https://lists.sourceforge.net/lists/listinfo/audacitynyquist  paul beach sniffyraven@... 
From: <edgarrft@we...>  20080610 00:33:12

> http://www.pcworld.com/article/id,146161page,12c,electronics/article.html > > Check out number 98! > >  Vaughan PLEASE STOP SPAMMING THE AUDACITY NYQUIST LIST WITH SUCH A BULLSHIT!!!  edgar  The author of this email does not necessarily endorse the following advertisements, which are the sole responsibility of the advertiser: _______________________________________________________________________ EINE FÜR ALLE: die kostenlose WEB.DEPlattform für Freunde und Deine Homepage mit eigenem Namen. Jetzt starten! http://unddu.de/?kid=kid@... 
From: <edgarrft@we...>  20080610 00:21:29

Hi paul, > Hello, > Equal temperment is sometimes considered poor because it does not align > very well with the major third. There are other schemes here: > > http://en.wikipedia.org/wiki/Equal_temperament > > In particular when the next semitone is the 22nd root or 31st root of > two then; the third and fifth come into good alignment. > > Is there a methodical way to implement this Edgar: depends on what you want to do. Nyquist 'hztostep' and 'steptohz' for computing tuning pitch out of MIDI values and vice versa are defined in 'nyquist.lsp' around line 600 ff. To make the pitch transformation environment work right in a nonlinear tuning system is a more difficult task, because it depends on linear transformations. How would you e.g. implement a glissando in a nonlinear environment? I have no idea. I first need to have a closer look at the math on the wiki page. There also is a chapter about alternative tuning systems in Rick Taube's Common Music (but with the conclusion that this will probably never work with computers if I remember right). Maybe Roger can help with more details.  edgar  The author of this email does not necessarily endorse the following advertisements, which are the sole responsibility of the advertiser: _______________________________________________________________ Schon gehört? Der neue WEB.DE MultiMessenger kann`s mit allen: http://www.produkte.web.de/messenger/?did=3016 
From: Jimi Photon <phatjbp@gm...>  20080610 00:09:15

forget trying to get wav to midi, even the really pricey commercial ware stuff is crap. good luck! peace pinkster 