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21414

Re: Cantor Chord

For instance: 0 -> sine wave @ 440 Hz n/m -> sine wave @ 440 * 2^(n/m) Hz 1 -> sine wave @ 880 Hz
christopher arthur
Aug 31, 2015
#21414
 
21413

Re: Cantor Chord

How are the points in the Cantor Set mapped to pitches? Are we looking at logarithms of frequencies, frequencies, or string length? 1) Logarithms of
gedankenwelt94
Aug 31, 2015
#21413
 
21412

Cantor Chord

Suppose the Cantor Set mapped across an octave. Any thoughts on how to hear a polyphony of every note at once? (Assume each point in set corresponds to a
christopher arthur
Aug 21, 2015
#21412
 
21411

Re: [TUNING] Re: The mil: 1/1023 of an equal-tempered semitone

On Sun, Mar 22, 2015 at 1:32 AM, kraiggrady@... [TUNING] ... Thanks for this information. Wilson's work substantially reduces the originality of my
Gavin R. Putland
Mar 28, 2015
#21411
 
21410

Re: [TUNING] Re: The mil: 1/1023 of an equal-tempered semitone

(To tuning, tuning-math) ... That's done at http://t.co/swOBXVyHBM . (Pity about the single quotes in the title, which were displayed correctly in the preview
Gavin R. Putland
Mar 28, 2015
#21410
 
21409

The mil: 1/1023 of an equal-tempered semitone

(To tuning, tuning-math, Joe Monzo) The name of this unit is proposed at http://beta.briefideas.org/ideas/50bd78ca85c5e2523c11f83250e851c3 . Note the numerous
Gavin R. Putland
Mar 28, 2015
#21409
 
21408

Re: Question about MOS's (completeness)

... I'm happy with proofs for the non-obvious things. I guess I should write what is obvious to me, then, and what is not. ^^ ... This is clear to me. ... I
gedankenwelt94
Sep 5, 2014
#21408
 
21407

Re: Question about MOS's (completeness)

... It depends how strictly you want obvious things to be proved. I've shown that every node on the scale tree can be associated with a maximally even scale.
Graham Breed
Sep 5, 2014
#21407
 
21406

Re: Question about MOS's (completeness)

Sorry for the confusing wording, and for omitting some intermediate steps... What I wanted to know is if there is a simple proof that there is no MOS which
gedankenwelt94
Sep 4, 2014
#21406
 
21405

Re: Question about MOS's (completeness)

Rearranging the steps? I thought you were referring to changing the L/s ratio... Mike On Monday, September 1, 2014, gedankenwelt94@... [tuning-math]
Mike Battaglia
Sep 4, 2014
#21405
 
21404

Re: Question about MOS's (completeness)

Hi Mike, thanks for your answer! :) Yes, I assume that EDOs like 6-EDO are not ME scales. Is there a simple proof that this is true? I.e. that rearranging the
gedankenwelt94
Sep 1, 2014
#21404
 
21403

Re: Question about MOS's (completeness)

You're basically asking if every MOS can be generated by starting with a maximally even scale and changing the ratio of L/s, right? Then the answer is yes,
Mike Battaglia
Sep 1, 2014
#21403
 
21402

Question about MOS's (completeness)

Hi list, I want to know if there are moments of symmetry (MOS's) that cannot be derived from a maximally even scale by doing the following: Replace the smaller
gedankenwelt94
Sep 1, 2014
#21402
 
21401

Re: Max-Variety-3 Scales, and a Conjecture

I think I might have found an algorithm that generates MV3 scales. I still have to test if the results are completely consistent with the list of MV3 scales
gedankenwelt94
May 25, 2014
#21401
 
21400

Re: Max-Variety-3 Scales, and a Conjecture

Hi Ryan, thanks for sharing your observations! I found them very insightful, and they inspired me to continue investigating MV3 scales again. :) What I don't
gedankenwelt94
May 17, 2014
#21400
 
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