User:Dummy index

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Hello. I'm a engineer and weekend mathematician, not for music.

List of subpages

Memo

"(14/11)*(13/11) is for gentle region, then what is for meantone? 33/28, thrice, 99/84, flatly approx., 100/85, 20/17, (14/11)*(20/17)*(2/3)=560/561. Oh, 33/28 is the mediant of 13/11 and 20/17. but... around 698 cents I can hardly any contribute."

9/7 5/4 11/9 6/5 13/11 7/6 15/13 8/7
13/10 14/11 16/13 17/14 19/16 20/17 22/19 23/20
17/13 19/15 21/17 23/19 25/21 27/23
21/16 22/17 24/19 26/21 27/22 32/27 33/28
32/25 33/26 34/27 39/32 40/33

"Color notation, parhaps trizo ≈ yo? Hmm, marvel*sensamagic=10976/10935=(32/15)/(9/7)^3. Straight path to g2 16/15, if 9/7 were in the position of 8/7."

"Tried. If 15/14 vs. 16/15 = marvel, 28/27 vs. 36/35 = sensamagic, 27/22 vs. 11/9 = neutral third, and 112/81 vs. 11/8 = 896/891 are tempered out (thus 10/7 vs 77/54 = 540/539 = 896/891*marvel/sensamagic) (is this everything?), it's 41edo."

yo 10/9 5/3 5/4 15/8
10/7 15/14 45/28 135/112
112/81 28/27 14/9 7/6 77/54
wa 16/9 4/3 1/1 11/9 3/2 11/6 9/8 11/8
12/7 9/7 27/14 81/56
224/135 56/45 28/15 7/5
gu 16/15 8/5 6/5 9/5
36/35

"14/11 for yo3 position, instead of 5/4. If 112/99 vs. 9/8 = 896/891, 81/44 vs. 11/6 = marvel, and 27/14 vs. 21/11 = 99/98 are tempered out, it's 17edo."

1568/891~7/4 392/297~21/16 196/99 49/33
yo 112/99~9/8 56/33 14/11 21/11
16/11 12/11 18/11 27/22 81/44~11/6
112/81~11/8 28/27 14/9 7/6
wa 16/9 4/3 1/1 3/2 9/8
12/7 9/7 27/14 81/56~16/11
88/81 44/27 11/9 11/6 11/8
gu 22/21 11/7 33/28 99/56~16/9
xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx