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User:Dummy index/Semitritave: Difference between revisions

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| 15edo
| 15edo
| hypopent
| hypopent
| simple. "Fifth" is "7\12" ≈ 11/8, off by 3 cents.
| simple. "Fifth" is 7\12edst ≈ 11/8, off by 3 cents.
|-
|-
| 18
| 18
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| [[23edo and octave stretching|stretched-23edo]]
| [[23edo and octave stretching|stretched-23edo]]
| anpent
| anpent
| This have two "fifth," "11\18" ≈ 7/5 and "10\18" ≈ 19/14. 6/5 and 7/6 are good.
| This have two "fifth," 11\18edst ≈ 7/5 and 10\18edst ≈ 19/14. 6/5 and 7/6 are good.
|-
|-
| 19
| 19
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| 24edo
| 24edo
| hypopent
| hypopent
| "Fifth" is "11\19" ≈ 11/8. Can convert easily from 19edo.
| "Fifth" is 11\19edst ≈ 11/8. Can convert easily from 19edo.
|-
|-
| 23
| 23
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| 29edo
| 29edo
| anpent
| anpent
| Two "fifth," "14\23" ≈ 7/5, "13\23" ≈ 15/11. 13/11 and 15/13 are precise.
| Two "fifth," 14\23edst ≈ 7/5, 13\23edst ≈ 15/11. 13/11 and 15/13 are precise.
|-
|-
| 26
| 26
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| 34edo
| 34edo
| hyperpent
| hyperpent
| Two "fifth," "16\27" ≈ 18/13 and "15\27" ≈ 19/14 are precise. Together with "9\27" ≈ 6/5 and "11\27" ≈ 5/4, seems good for micro- augene<nowiki>[12]</nowiki>.
| Two "fifth," 16\27edst ≈ 18/13 and 15\27edst ≈ 19/14 are precise. Together with 9\27edst ≈ 6/5 and 11\27edst ≈ 5/4, seems good for micro- augene<nowiki>[12]</nowiki>.
|-
|-
| 31
| 31
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| 39edo
| 39edo
| hypopent
| hypopent
| "Fifth" is "18\31" ≈ 11/8, and "wolf fifth" is "19\31" ≈ 7/5. By the way, "upmajor 3rd" and "downminor 3rd" approximate 17/14 and 17/15, where (17/14)*(17/15) = (11/8)*([[1156/1155]]).
| "Fifth" is 18\31edst ≈ 11/8, and "wolf fifth" is 19\31edst ≈ 7/5. By the way, "upmajor 3rd" and "downminor 3rd" approximate 17/14 and 17/15, where (17/14)*(17/15) = (11/8)*([[1156/1155]]).
|-
|-
| 46
| 46
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| 58edo
| 58edo
| hyperpent
| hyperpent
| Good for micro- sensi. "5/3 ~ 34\46" ≈ 3/2, "7/5 ~ 22\46" ≈ 13/10, "6/5 ~ 12\46" ≈ 15/13, "10/7 ~ 24\46" ≈ 4/3, ...
| Good for micro- sensi. "5/3" ~ 34\46edst ≈ 3/2, "7/5" ~ 22\46edst ≈ 13/10, "6/5" ~ 12\46edst ≈ 15/13, "10/7" ~ 24\46edst ≈ 4/3, ...
|-
|-
| 69
| 69
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| 87edo
| 87edo
| amphipent
| amphipent
| "40\69" ≈ 11/8 very precise, and coincidentally contains micro- august. (69=31+19+19=33+12+12+12)
| 40\69edst ≈ 11/8 very precise, and coincidentally contains micro- august. (69=31+19+19=33+12+12+12)
|}
|}


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==Relationship==
==Relationship==
On this micromeantone, "minor tenth" (e.g. "(19+3+2)\19") ~ 2/1. Re-breaking by real octave, results in [[6L 3s]] e. g. LsLLLsLLs, tribilo or triforce.
On this micromeantone, "minor tenth" (e.g. "(19+3+2)\19") ~ 2/1. Re-breaking by real octave, results in [[6L 3s]] i. e. LsLLLsLLs, tribilo or triforce.


==Memo==
==Memo==
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[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.2.5.13.17&error=5.0 3.2.5.13.17 => 54edt],
[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.2.5.13.17&error=5.0 3.2.5.13.17 => 54edt],
[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.10.14.17.11%2F8&error=5.0 3.10.14.17.11/8 => 62edt]
[http://x31eq.com/cgi-bin/pregular.cgi?limit=3.10.14.17.11%2F8&error=5.0 3.10.14.17.11/8 => 62edt]
<math>\sqrt{3}^{\sqrt{2}} \approx \varphi^{\varphi}</math> (off by 3 cents)<br />
Hints for silver [[Metallic MOS]]<br />
<math>\sqrt{3}^{\sqrt{2} - 1}</math> ≈ 394¢<br />
1 * 851¢ + 1 * 394¢ => 3 * 394¢ + 1 * 163¢ => 3 * 231¢ + 4 * 163¢ (3L 4s)<br />
2 * 851¢ + 1 * 394¢ => 5 * 394¢ + 2 * 163¢ (5L 2s)<br />
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