Lemba: Difference between revisions
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+see also, +cat, some cleanup |
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See [[ | See also | ||
* [[Jubilismic clan #Lemba]] | |||
* [[Gamelismic clan #Lemba]] | |||
==Spectrum of Lemba Tunings by Eigenmonzos== | ==Spectrum of Lemba Tunings by Eigenmonzos== | ||
| Line 9: | Line 11: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Eigenmonzo | ||
! | ! Supermajor Second | ||
|- | |- | ||
| 5/4 | |||
| 213.686 | |||
|- | |- | ||
| 15/11 | |||
| 221.016 | |||
|- | |- | ||
| 12/11 | |||
| 224.681 | |||
|- | |- | ||
| 3\16 | |||
| 225.000 | |||
|- | |- | ||
| 13/10 | |||
| 227.107 | |||
|- | |- | ||
| 11/10 | |||
| 227.501 | |||
|- | |- | ||
| 13/11 | |||
| 227.698 | |||
|- | |- | ||
| 4\21 | |||
| 228.571 | |||
|- | |- | ||
| 6/5 | |||
| 228.910 | |||
|- | |- | ||
| 11/8 | |||
| 230.264 | |||
|- | |- | ||
| 14/11 | |||
| 230.415 (15 limit minimax) | |||
|- | |- | ||
| 13/12 | |||
| 230.714 | |||
|- | |- | ||
| 5\26 | |||
| 230.769 | |||
|- | |- | ||
| 10/9 | |||
| 231.085 (9, 11 and 13 limit minimax) | |||
|- | |- | ||
| 8/7 | |||
| 231.174 (7 limit minimax) | |||
|- | |- | ||
| [0 17 -6 -6 6> | |||
| 231.294 (11 limit least squares) | |||
|- | |- | ||
| 52521875/177147 | |||
| 231.298 (7 limit least squares) | |||
|- | |- | ||
| 129140163/1500625 | |||
| 232.418 (9 limit least squares) | |||
|- | |- | ||
| [0 63 -20 -20 22 -6> | |||
| 231.250 (13 limit least squares) | |||
|- | |- | ||
| [0 66 -17 -23 25 -7> | |||
| 231.399 (15 limit least squares) | |||
|- | |- | ||
| 12\62 | |||
| 232.258 | |||
|- | |- | ||
| 18/13 | |||
| 232.676 | |||
|- | |- | ||
| 7/6 | |||
| 233.282 | |||
|- | |- | ||
| 9/7 | |||
| 233.583 | |||
|- | |- | ||
| 4/3 | |||
| 233.985 | |||
|- | |- | ||
| 14/13 | |||
| 235.851 | |||
|- | |- | ||
| 15/14 | |||
| 239.814 | |||
|- | |- | ||
| 16/13 | |||
| 240.528 | |||
|- | |- | ||
| 16/15 | |||
| 244.134 | |||
|- | |- | ||
| 15/13 | |||
| 247.741 | |||
|- | |- | ||
| 11/9 | |||
| 252.592 | |||
|} | |} | ||
| Line 111: | Line 113: | ||
In 8/7 eigenmonzo tuning | In 8/7 eigenmonzo tuning | ||
[[Category: | |||
[[Category: | [[Category:Lemba]] | ||
[[Category: | [[Category:Listen]] | ||
[[Category: | [[Category:Temperament]] | ||
[[Category:Tuning]] | |||
{{Todo|add definition|cleanup<!-- monzos -->}} | |||
Revision as of 13:18, 21 November 2020
See also
Spectrum of Lemba Tunings by Eigenmonzos
Gencom: [7/5 8/7; 45/44 50/49 65/64 78/77]
Gencom map: [<2 2 5 6 5 7|,[<0 3 -1 -1 5 1|]
| Eigenmonzo | Supermajor Second |
|---|---|
| 5/4 | 213.686 |
| 15/11 | 221.016 |
| 12/11 | 224.681 |
| 3\16 | 225.000 |
| 13/10 | 227.107 |
| 11/10 | 227.501 |
| 13/11 | 227.698 |
| 4\21 | 228.571 |
| 6/5 | 228.910 |
| 11/8 | 230.264 |
| 14/11 | 230.415 (15 limit minimax) |
| 13/12 | 230.714 |
| 5\26 | 230.769 |
| 10/9 | 231.085 (9, 11 and 13 limit minimax) |
| 8/7 | 231.174 (7 limit minimax) |
| [0 17 -6 -6 6> | 231.294 (11 limit least squares) |
| 52521875/177147 | 231.298 (7 limit least squares) |
| 129140163/1500625 | 232.418 (9 limit least squares) |
| [0 63 -20 -20 22 -6> | 231.250 (13 limit least squares) |
| [0 66 -17 -23 25 -7> | 231.399 (15 limit least squares) |
| 12\62 | 232.258 |
| 18/13 | 232.676 |
| 7/6 | 233.282 |
| 9/7 | 233.583 |
| 4/3 | 233.985 |
| 14/13 | 235.851 |
| 15/14 | 239.814 |
| 16/13 | 240.528 |
| 16/15 | 244.134 |
| 15/13 | 247.741 |
| 11/9 | 252.592 |
Music
Lemba Suite (Prelude, Aria & Fugue) by Claudi Meneghin
In 8/7 eigenmonzo tuning