Lemba: Difference between revisions
m →Spectrum of Lemba Tunings by Eigenmonzos: Table formatting |
m Further table improvements |
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| Line 10: | Line 10: | ||
|- | |- | ||
! Eigenmonzo | ! Eigenmonzo | ||
! Supermajor Second | ! Supermajor<br>Second | ||
! Comments | ! Comments | ||
|- | |- | ||
| Line 25: | Line 25: | ||
| | | | ||
|- | |- | ||
| 3\16 | | (3\16) | ||
| 225.000 | | 225.000 | ||
| | | | ||
| Line 41: | Line 41: | ||
| | | | ||
|- | |- | ||
| 8\ | | (8\42) | ||
| 228.571 | | 228.571 | ||
| | | | ||
| Line 49: | Line 49: | ||
| | | | ||
|- | |- | ||
| (2-Φ) | | (2 - Φ)×600 | ||
| 229.179 | | 229.179 | ||
| Golden Lemba. L/s ratios are always precisely Φ, and MOS scales are always precisely | | Golden Lemba. L/s ratios are always precisely Φ, and MOS scales are always precisely 2Φ | ||
|- | |- | ||
| 21/13 | | 21/13 | ||
| Line 63: | Line 63: | ||
| 14/11 | | 14/11 | ||
| 230.415 | | 230.415 | ||
| 15 limit minimax | | 15-odd-limit minimax | ||
|- | |- | ||
| 13/12 | | 13/12 | ||
| Line 69: | Line 69: | ||
| | | | ||
|- | |- | ||
| 5\26 | | (5\26) | ||
| 230.769 | | 230.769 | ||
| | | | ||
| Line 75: | Line 75: | ||
| 10/9 | | 10/9 | ||
| 231.085 | | 231.085 | ||
| 9, 11 and 13 limit minimax | | 9-, 11- and 13-odd-limit minimax | ||
|- | |- | ||
| 8/7 | | 8/7 | ||
| 231.174 | | 231.174 | ||
| 7 limit minimax | | 7-odd-limit minimax | ||
|- | |- | ||
| | | {{monzo| 0 63 -20 -20 22 -6 }} | ||
| 231.250 | | 231.250 | ||
| 13 limit least squares | | 13-odd-limit least squares | ||
|- | |- | ||
| | | {{monzo| 0 17 -6 -6 6 }} | ||
| 231.294 | | 231.294 | ||
| 11 limit least squares | | 11-odd-limit least squares | ||
|- | |- | ||
| 52521875/177147 | | 52521875/177147 | ||
| 231.298 | | 231.298 | ||
| 7 limit least squares | | 7-odd-limit least squares | ||
|- | |- | ||
| | | {{monzo| 0 66 -17 -23 25 -7 }} | ||
| 231.399 | | 231.399 | ||
| 15 limit least squares | | 15-odd-limit least squares | ||
|- | |- | ||
| 17/13 | | 17/13 | ||
| Line 101: | Line 101: | ||
| | | | ||
|- | |- | ||
| 12\62 | | (12\62) | ||
| 232.258 | | 232.258 | ||
| | | | ||
| Line 107: | Line 107: | ||
| 129140163/1500625 | | 129140163/1500625 | ||
| 232.418 | | 232.418 | ||
| 9 limit least squares | | 9-odd-limit least squares | ||
|- | |- | ||
| 18/13 | | 18/13 | ||
| Line 121: | Line 121: | ||
| | | | ||
|- | |- | ||
| 7\36 | | (7\36) | ||
| 233.333 | | 233.333 | ||
| | | | ||
| Line 139: | Line 139: | ||
| | | | ||
| 234.485 | | 234.485 | ||
| 2.3.7.17 subgroup least squares | | 2.3.7.17 subgroup least squares {{clarify}} | ||
|- | |- | ||
| 9\46 | | (9\46) | ||
| 234.783 | | 234.783 | ||
| | | | ||
| Line 153: | Line 153: | ||
| | | | ||
|- | |- | ||
| 11\56 | | (11\56) | ||
| 235.714 | | 235.714 | ||
| | | | ||
| Line 182: | Line 182: | ||
|} | |} | ||
=Music= | == Music == | ||
[http://soonlabel.com/xenharmonic/archives/1232 Lemba Suite] (Prelude, Aria & Fugue) by Claudi Meneghin | * [http://soonlabel.com/xenharmonic/archives/1232 Lemba Suite] (Prelude, Aria & Fugue) by Claudi Meneghin | ||
In 8/7 eigenmonzo tuning | In 8/7 eigenmonzo tuning | ||