User:Dummy index: Difference between revisions

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| 2.9 || [[Subgroup temperaments #2.9.5.7 subgroup]] ||  
| 2.9 || [[Subgroup temperaments #2.9.5.7 subgroup]] ||  
|-
|-
| 4.3 || [[Subgroup temperaments #4.3.5 subgroup]],<br />not meanquad (p=4/1, g=4/3 or 3/1),<br />[http://x31eq.com/cgi-bin/rt.cgi?ets=q87_q111&limit=4_3_5_7 "mistyquad"], [http://x31eq.com/cgi-bin/rt.cgi?ets=q111_q144&limit=4_3_5_7 "mirquad"] ||  
| 4.3 || [[Subgroup temperaments #4.3.5 subgroup]],<br />not meanquad (p=4/1, g=4/3 or 3/1) -> named tetrameantone,<br />[https://x31eq.com/pyscript/rt.html?ets=q87_q111&limit=4_3_5_7 "mistyquad"], [https://x31eq.com/pyscript/rt.html?ets=q111_q144&limit=4_3_5_7 "mirquad"] ||  
|-
|-
| 4.6 = 4.3/2 = 6.3/2<br /> = 6.9 = 3/2.9 || [[meanquad]] (p=4/1, g=3/2), [http://x31eq.com/cgi-bin/rt.cgi?ets=q99_q144&limit=4_6_5_7 "ennealimmalquad"] || plain weave
| 4.6 = 4.3/2 = 6.3/2<br /> = 6.9 = 3/2.9 || [[meanquad]] (p=4/1, g=3/2), [https://x31eq.com/pyscript/rt.html?ets=q99_q144&limit=4_6_5_7 "ennealimmalquad"] || plain weave
|-
|-
| 4.9 || [[Subgroup temperaments #Meansquared]] || 4.9.25 meansquared is [[Sane and insane temperaments|insane]]
| 4.9 || [[Subgroup temperaments #Meansquared]] || 4.9.25 meansquared is [[Sane and insane temperaments|insane]]
Line 25: Line 25:
| 4/3.9 = 12.9 = 16.12 || [[39ed9]] ||  
| 4/3.9 = 12.9 = 16.12 || [[39ed9]] ||  
|-
|-
| 4.9/2 = 4.18 || [http://x31eq.com/cgi-bin/rt.cgi?ets=q25_q12&limit=4_18_5_7 "israquad"] ||  
| 4.9/2 = 4.18 || [https://x31eq.com/pyscript/rt.html?ets=q25_q12&limit=4_18_5_7 "israquad"] ||  
|-
|-
| 4/3.9/2 = 8.6 = 6.27 ||  || twill weave
| 4/3.9/2 = 8.6 = 6.27 ||  || twill weave
|-
|-
| 12.18 = 12.3/2 = 8.3/2<br /> = 18.3/2 = 27.3/2 = 8.12 || [http://x31eq.com/cgi-bin/rt.cgi?ets=q31_q26&limit=8_12_5_7 "septimal meanocto"] || twill weave
| 12.18 = 12.3/2 = 8.3/2<br /> = 18.3/2 = 27.3/2 = 8.12 || [https://x31eq.com/pyscript/rt.html?ets=q31_q26&limit=8_12_5_7 "septimal meanocto"] || twill weave
|-
|-
| 12.9/2 = 8/3.9/2 = 8/3.12<br /> = 9/2.54 = 9/2.243<br /> = 8/3.32 = 12.32 ||  || satin weave
| 12.9/2 = 8/3.9/2 = 8/3.12<br /> = 9/2.54 = 9/2.243<br /> = 8/3.32 = 12.32 ||  || satin weave
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| 4/3.18 = 4/3.27/2 = 18.27/2<br /> = 4/3.24 = 4/3.32 = 24.32 ||  || satin weave
| 4/3.18 = 4/3.27/2 = 18.27/2<br /> = 4/3.24 = 4/3.32 = 24.32 ||  || satin weave
|-
|-
| 8.9 || [[Subgroup temperaments #Sixscared]], [http://x31eq.com/cgi-bin/rt.cgi?ets=q19_q18&limit=8_9_10_14 "israocto"] ||  
| 8.9 || [[Subgroup temperaments #Sixscared]], [https://x31eq.com/pyscript/rt.html?ets=q19_q18&limit=8_9_10_14 "israocto"] ||  
|}
|}


Revision as of 14:40, 6 January 2025

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

List of subpages

Memo

Partialpyths
basis including examples remarks
2.9 Subgroup temperaments #2.9.5.7 subgroup
4.3 Subgroup temperaments #4.3.5 subgroup,
not meanquad (p=4/1, g=4/3 or 3/1) -> named tetrameantone,
"mistyquad", "mirquad"
4.6 = 4.3/2 = 6.3/2
= 6.9 = 3/2.9		 meanquad (p=4/1, g=3/2), "ennealimmalquad" plain weave
4.9 Subgroup temperaments #Meansquared 4.9.25 meansquared is insane
4/3.9 = 12.9 = 16.12 39ed9
4.9/2 = 4.18 "israquad"
4/3.9/2 = 8.6 = 6.27 twill weave
12.18 = 12.3/2 = 8.3/2
= 18.3/2 = 27.3/2 = 8.12		 "septimal meanocto" twill weave
12.9/2 = 8/3.9/2 = 8/3.12
= 9/2.54 = 9/2.243
= 8/3.32 = 12.32		 satin weave
4/3.18 = 4/3.27/2 = 18.27/2
= 4/3.24 = 4/3.32 = 24.32		 satin weave
8.9 Subgroup temperaments #Sixscared, "israocto"
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

9-odd-limit diamond (not care of beginning at 1)

9/5
8/5 3/2
7/5 4/3 9/7
6/5 7/6 8/7 9/8
5/5 3/3 7/7 1/1 9/9
5/3 12/7 7/4 16/9
10/7 3/2 14/9
5/4 4/3
10/9

1.3.9.11.17 diamond, for 24edo (not cover 1\24, 5\24, 6\24, 8\24, ...)

18/11
17/11 3/2
16/11 17/12 9/8
12/11 4/3 17/16 18/17
11/11 3/3 1/1 17/17 9/9
11/6 3/2 32/17 17/9
11/8 24/17 16/9
22/17 4/3
11/9

tritave 1.2.4.5.7 diamond

7/3
2/1 7/4
5/3 3/2 7/5
4/3 5/4 6/5 7/6
1/1 4/4 5/5 2/2 7/7
9/4 12/5 5/2 18/7
9/5 2/1 15/7
3/2 12/7
9/7

~~ what's this? ~~

[1] Rank 2 temperament (17/11, 2/1)

  • (17/11)^(-9) ~ 14/11
  • (17/11)^(-5) ~ 20/11
  • Hence (17/11)^4 ~ 10/7
  • 11:14:17:20 tetrad
  • 2.5.7.11.17 subgroup
    • sintel/uvs->edos->x31/net
    • a weak extension 19p&16 -> muggles
    • (17/11)^(-9) ~ 14/11 ~ 5/4 19p&8d -> near sensi, sensis
  • 2.7/5.11/5.17/5 subgroup
  • 2.5/3.7/3.11/3.17/3 subgroup
    • by adding 5/3 @ -2 gen (not 5/4), (17/11)^(-2) ~ 5/3, [3], non-over-1 sensis
    • 2.5/3.7/3.11/3.13/3.17/3 -> [4]
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