Myna: Difference between revisions
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'''Myna''' is the rank-2 [[temperament]] that tempers out the starling comma ([[126/125]]) and the orwellisma ([[1728/1715]]). It is supported by [[27edo]], [[31edo]] and [[58edo]], with [[MOS scale]]s of cardinality 7, 11, 15, 19, 23, 27 and 31. | '''Myna''' is the rank-2 [[temperament]] that tempers out the starling comma ([[126/125]]) and the orwellisma ([[1728/1715]]). It is supported by [[27edo]], [[31edo]], and [[58edo]], with [[MOS scale]]s of cardinality 7, 11, 15, 19, 23, 27, and 31. | ||
Note: "myna" is pronounced /'maɪnə/, like [[Wikipedia: Myna|the bird]], but is also as a pun on "minor". | Note: "myna" is pronounced /'maɪnə/, like [[Wikipedia:Myna|the bird]], but is also as a pun on "minor". | ||
See [[Starling temperaments #Myna]] for more technical data. | See [[Starling temperaments #Myna]] for more technical data. | ||
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{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
! # | ! # | ||
! Cents* | ! Cents* | ||
! Approximate Ratios | ! Approximate Ratios | ||
| Line 125: | Line 125: | ||
| 55/28, 63/32, 77/39, 99/50 | | 55/28, 63/32, 77/39, 99/50 | ||
|} | |} | ||
<nowiki>* | <nowiki />* In 13-limit POTE tuning | ||
== Chords == | == Chords == | ||
| Line 145: | Line 145: | ||
== Tuning spectrum == | == Tuning spectrum == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! ET<br>generator | ! ET<br />generator | ||
! [[ | ! [[Eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]) | ||
! | ! Minor<br />third (¢) | ||
! | ! Comments | ||
|- | |- | ||
| | | | ||
| Line 298: | Line 297: | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Myna| ]] <!-- | [[Category:Myna| ]] <!-- Main article --> | ||
[[Category:Starling temperaments]] | [[Category:Starling temperaments]] | ||
[[Category:Orwellismic temperaments]] | [[Category:Orwellismic temperaments]] | ||
[[Category:Breedsmic temperaments]] | [[Category:Breedsmic temperaments]] | ||
Revision as of 14:35, 8 October 2024
Myna is the rank-2 temperament that tempers out the starling comma (126/125) and the orwellisma (1728/1715). It is supported by 27edo, 31edo, and 58edo, with MOS scales of cardinality 7, 11, 15, 19, 23, 27, and 31.
Note: "myna" is pronounced /'maɪnə/, like the bird, but is also as a pun on "minor".
See Starling temperaments #Myna for more technical data.
Interval chain
In the following table, prime harmonics are in bold.
| # | Cents* | Approximate Ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 310.3 | 6/5 |
| 2 | 620.6 | 10/7 |
| 3 | 930.8 | 12/7 |
| 4 | 41.1 | 36/35, 40/39, 45/44, 49/48, 50/49 |
| 5 | 351.4 | 11/9, 16/13 |
| 6 | 661.7 | 22/15, 35/24 |
| 7 | 971.9 | 7/4 |
| 8 | 82.2 | 21/20, 22/21, 25/24 |
| 9 | 392.5 | 5/4 |
| 10 | 702.8 | 3/2 |
| 11 | 1013.0 | 9/5 |
| 12 | 123.3 | 14/13, 15/14, 27/25 |
| 13 | 433.6 | 9/7 |
| 14 | 743.9 | 20/13 |
| 15 | 1054.1 | 11/6, 24/13 |
| 16 | 164.4 | 11/10 |
| 17 | 474.7 | 21/16 |
| 18 | 785.0 | 11/7 |
| 19 | 1095.3 | 15/8 |
| 20 | 205.5 | 9/8 |
| 21 | 515.8 | 27/20 |
| 22 | 826.1 | 21/13 |
| 23 | 1136.4 | 27/14 |
| 24 | 246.6 | 15/13 |
| 25 | 556.9 | 11/8, 18/13 |
| 26 | 867.1 | 33/20 |
| 27 | 1177.5 | 55/28, 63/32, 77/39, 99/50 |
* In 13-limit POTE tuning
Chords
Scales
- MOS scales
- Transversal scales
Tuning spectrum
| ET generator |
Eigenmonzo (unchanged-interval)) |
Minor third (¢) |
Comments |
|---|---|---|---|
| 7/5 | 308.744 | ||
| 11/9 | 309.482 | ||
| 5/4 | 309.590 | ||
| 8\31 | 309.677 | ||
| 8/7 | 309.832 | ||
| 16/15 | 309.909 | ||
| 15/14 | 309.953 | ||
| 12/11 | 309.958 | ||
| 11/8 | 310.053 | ||
| 23\89 | 310.112 | ||
| 14/11 | 310.138 | ||
| 4/3 | 310.196 | 5-, 7-, 9- and 11-odd-imit minimax; 5-, 7-, 11- and 13-limit POTT | |
| 11/10 | 310.313 | ||
| 15/13 | 310.323 | 15-odd-limit minimax | |
| 15\58 | 310.345 | ||
| 13/11 | 310.360 | 13-odd-limit minimax | |
| 9/7 | 310.391 | ||
| 13/10 | 310.413 | ||
| 15/11 | 310.508 | ||
| 18/13 | 310.535 | ||
| 22\85 | 310.588 | ||
| 10/9 | 310.691 | ||
| 14/13 | 310.692 | ||
| 13/12 | 310.762 | ||
| 7/6 | 311.043 | ||
| 7\27 | 311.111 | ||
| 16/13 | 311.894 | ||
| 6/5 | 315.641 |