# Messages List

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

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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

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