User:Dummy index: Difference between revisions

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Dummy index (talk | contribs)
autopatrolled, emailconfirmed
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Dummy index (talk | contribs)
autopatrolled, emailconfirmed
606 edits
No edit summary
Line 57: Line 57:
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|28/27
|28/27
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|14/11
|14/9
|14/9
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"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."
"14/11 for yo3 position, instead of 5/4. If 112/99 vs. 9/8 = 896/891, 81/44 vs. 11/6 = neutral third, and 27/14 vs. 21/11 = 99/98 are tempered out, it's 17edo."


{| class="wikitable"
{| class="wikitable"
Line 200: Line 200:
| colspan="2" |99/56~16/9
| colspan="2" |99/56~16/9
|
|
|
|-
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|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
|xx/xx
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|}
"24/19 for yo3 position. 2.3.7.13.19 subgroup. The table below has tempered out 513/512 and 729/728, still 3 track... To get evenly spaced 3 track, temper out 3159/3136...? [[2197/2187]], causes third-8ves. And I want (57/56)^2=28/27, 87808/87723...? 343/342? 1029/1024? Then, (19/18 (-5 fifthspan))^2=(9/8 (+2 fifthspan)) is 729/722... Pythagorean comma. Ah, it's already tempered because =(2197/2187)*(729/728)^3*(1029/1024). Finally 36edo."
{| class="wikitable"
|
| colspan="2" |~7/6
| colspan="2" |~7/4
| colspan="2" |224/171~21/16
| colspan="2" |112/57
| colspan="2" |28/19
|
|-
|yo
|
| colspan="2" |64/57~9/8
| colspan="2" |32/19
| colspan="2" |24/19
| colspan="2" |36/19
|
|
|-
|
| colspan="2" |192/133~13/9
| colspan="2" |~13/12
| colspan="2" |~13/8
| colspan="2" |~39/32
| colspan="2" |~117/64
|
|-
|
|
| colspan="2" |112/81~18/13
| 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" |81/56~13/9
|
|
|-
|
| colspan="2" |~128/117
| colspan="2" |~64/39
| colspan="2" |~16/13
| colspan="2" |~24/13
| colspan="2" |133/96~18/13
|
|-
|gu
|
| colspan="2" |19/18
| colspan="2" |19/12
| colspan="2" |19/16
| colspan="2" |57/32~16/9
|
|
|-
|
| colspan="2" |19/14
| colspan="2" |57/56
| colspan="2" |171/112~32/21
| colspan="2" |~8/7
| colspan="2" |~12/7
|
|
|-
|-

Revision as of 14:26, 18 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 14/11 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 = neutral third, 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

"24/19 for yo3 position. 2.3.7.13.19 subgroup. The table below has tempered out 513/512 and 729/728, still 3 track... To get evenly spaced 3 track, temper out 3159/3136...? 2197/2187, causes third-8ves. And I want (57/56)^2=28/27, 87808/87723...? 343/342? 1029/1024? Then, (19/18 (-5 fifthspan))^2=(9/8 (+2 fifthspan)) is 729/722... Pythagorean comma. Ah, it's already tempered because =(2197/2187)*(729/728)^3*(1029/1024). Finally 36edo."

~7/6 ~7/4 224/171~21/16 112/57 28/19
yo 64/57~9/8 32/19 24/19 36/19
192/133~13/9 ~13/12 ~13/8 ~39/32 ~117/64
112/81~18/13 28/27 14/9 7/6
wa 16/9 4/3 1/1 3/2 9/8
12/7 9/7 27/14 81/56~13/9
~128/117 ~64/39 ~16/13 ~24/13 133/96~18/13
gu 19/18 19/12 19/16 57/32~16/9
19/14 57/56 171/112~32/21 ~8/7 ~12/7
xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx xx/xx
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