Myna

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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 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

Main article: Chords of myna

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

Music