User:Dummy index
Hello. I'm a engineer and weekend mathematician, not for music.
List of subpages
- 2-dimensional tuning spectrum
- 3rd-tritave temperaments
- About harmonics
- Bimetallic MOS
- Chromatic pairs and how we define haplotonic
- Heuristics for picking a nonstandard basis of JI subgroup
- Just odd intonation
- Layouts
- MOS tree with continued fraction
- No-1s odd-limit consistency
- Random lists of temperaments by generator size
- Related to 1729/1728
- SandBox
- Semitritave
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 | ||