User:Dummy index: Difference between revisions

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"(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)=[[561/560|560/561]]. Oh, 33/28 is the [[mediant]] of 13/11 and 20/17. but... around 698 cents I can hardly any contribute."
"(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)=[[561/560|560/561]]. Oh, 33/28 is the [[mediant]] of 13/11 and 20/17. but... around 698 cents I can hardly any contribute."


"[[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."
{| class="wikitable"
|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
|-
| colspan="2" |<small>21/16 22/17 24/19</small>|| colspan="2" |26/21 27/22|| colspan="2" | 32/27 33/28
|-
| colspan="2" |<small>32/25 33/26 34/27</small>|| colspan="2" |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."
 
{| class="wikitable"
|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."


{| class="wikitable"
{| class="wikitable"
| 4/3  || 9/7 || 5/4  || 11/9 || 6/5  || 13/11 || 7/6  || 15/13
|
| colspan="2" |
| colspan="2" |1568/891~7/4
| colspan="2" |392/297~21/16
| colspan="2" |196/99
| colspan="2" |49/33
|
|-
|yo
|
| colspan="2" |112/99~9/8
| colspan="2" |56/33
| colspan="2" |14/11
| colspan="2" |21/11
|
|
|-
|
| colspan="2" |16/11
| colspan="2" |12/11
| colspan="2" |18/11
| colspan="2" |27/22
| colspan="2" |81/44~11/6
|
|-
|
|
| colspan="2" |112/81~11/8
| colspan="2" |28/27
| colspan="2" |14/9
| colspan="2" |7/6
|
|
|-
|wa
| colspan="2" |16/9
| colspan="2" |4/3
| colspan="2" |1/1
| colspan="2" |3/2
| colspan="2" |9/8
|
|-
|
|
| colspan="2" |12/7
| colspan="2" |9/7
| colspan="2" |27/14
| colspan="2" |81/56~16/11
|
|
|-
|-
| 13/10 || 14/11 || 16/13 || 17/14 || 19/16 || 20/17 || 22/19 || 23/20
|
| colspan="2" |88/81
| colspan="2" |44/27
| colspan="2" |11/9
| colspan="2" |11/6
| colspan="2" |11/8
|
|-
|-
| 17/13 || 19/15 || 21/17 || 23/19 || 25/21 || 27/23
|gu
|
| colspan="2" |22/21
| colspan="2" |11/7
| colspan="2" |33/28
| colspan="2" |99/56~16/9
|
|
|-
|-
| 21/16 || 22/17 || 26/21 || 27/22 || 32/27 || 33/28 || 38/33
|
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|
|}
|}


[[Category:User en-1]]
[[Category:User en-1]]
[[Category:User ja-N]]
[[Category:User ja-N]]

Revision as of 16:27, 17 December 2021

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
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