Myna: Difference between revisions

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== Interval chain ==
== Interval chain ==
In the following table, prime harmonics are in '''bold'''.
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
! #
! #
Line 10: Line 12:
|-
|-
| 0
| 0
| 0.000
| 0.0
| 1/1
| '''1/1'''
|-
|-
| 1
| 1
| 310.276
| 310.3
| 6/5
| 6/5
|-
|-
| 2
| 2
| 620.552
| 620.6
| 10/7
| 10/7
|-
|-
| 3
| 3
| 930.828
| 930.8
| 12/7
| 12/7
|-
|-
| 4
| 4
| 41.104
| 41.1
| 36/35, 40/39, 45/44, 49/48, 50/49
| 36/35, 40/39, 45/44, 49/48, 50/49
|-
|-
| 5
| 5
| 351.380
| 351.4
| 11/9, 16/13
| 11/9, '''16/13'''
|-
|-
| 6
| 6
| 661.657
| 661.7
| 22/15, 35/24
| 22/15, 35/24
|-
|-
| 7
| 7
| 971.933
| 971.9
| 7/4
| '''7/4'''
|-
|-
| 8
| 8
| 82.209
| 82.2
| 21/20, 22/21, 25/24
| 21/20, 22/21, 25/24
|-
|-
| 9
| 9
| 392.485
| 392.5
| 5/4
| '''5/4'''
|-
|-
| 10
| 10
| 702.761
| 702.8
| 3/2
| '''3/2'''
|-
|-
| 11
| 11
| 1013.037
| 1013.0
| 9/5
| 9/5
|-
|-
| 12
| 12
| 123.313
| 123.3
| 14/13, 15/14, 27/25
| 14/13, 15/14, 27/25
|-
|-
| 13
| 13
| 433.589
| 433.6
| 9/7
| 9/7
|-
|-
| 14
| 14
| 743.865
| 743.9
| 20/13
| 20/13
|-
|-
| 15
| 15
| 1054.141
| 1054.1
| 11/6, 24/13
| 11/6, 24/13
|-
|-
| 16
| 16
| 164.418
| 164.4
| 11/10
| 11/10
|-
|-
| 17
| 17
| 474.694
| 474.7
| 21/16
| 21/16
|-
|-
| 18
| 18
| 784.970
| 785.0
| 11/7
| 11/7
|-
|-
| 19
| 19
| 1095.256
| 1095.3
| 15/8
| 15/8
|-
|-
| 20
| 20
| 205.522
| 205.5
| 9/8
| 9/8
|-
|-
| 21
| 21
| 515.798
| 515.8
| 27/20
| 27/20
|-
|-
| 22
| 22
| 826.074
| 826.1
| 21/13
| 21/13
|-
|-
| 23
| 23
| 1136.350
| 1136.4
| 27/14
| 27/14
|-
|-
| 24
| 24
| 246.626
| 246.6
| 15/13
| 15/13
|-
|-
| 25
| 25
| 556.902
| 556.9
| 11/8, 18/13
| '''11/8''', 18/13
|-
| 26
| 867.1
| 33/20
|-
| 27
| 1177.5
| 55/28, 63/32, 77/39, 99/50
|}
|}
<nowiki>*</nowiki> in 13-limit POTE tuning
<nowiki>*</nowiki> in 13-limit POTE tuning

Revision as of 06:32, 7 April 2021

See Starling temperaments #Myna for more technical data.

Note: "myna" is pronounced /'maɪnə/, like the bird, but is also as a pun on "minor".

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

Spectrum of myna tunings by eigenmonzos

Eigenmonzo 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

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