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Every MOS with 55 or 86 notes generated by a neutral third has a generator greater than that which is in 31, meaning that it's not in the diamond monotone range of migration (9/7 vs 14/11). Although the 7th harmonic gets significantly better by such a generator, this reason is not enough to claim that these are the MOS sizes, because 7/6 gets almost equally worse. Also, the POTE temperament (which tunes small intervals better than CTE) has a generator which is less than 31's.
m Lériendil moved page Chords of mohajira to Mohajira/Chords
 
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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Migration|migration temperament]]. Typing the chords requires consideration of the fact that migration conflates 9/8 and 10/9 and also 11/10 and 12/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Mohajira|mohajira temperament]]. Typing the chords requires consideration of the fact that mohajira conflates 9/8 and 10/9 and also 11/10 and 12/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. The chord is analyzed in terms of the transversal which employs 9/8 and 20/11, if this can be done without tempering out additional commas.


Chords requiring tempering only by 81/80 are labeled didymic, by 121/120 biyatismic, by 176/175 valinorsmic, by 243/242 rastmic, and by 385/384 keenanismic. Chords which require any two of 81/80, 121/120 or 243/242 are labeled urania, and any two of 121/120, 176/175 or 385/384 zeus.
Chords requiring tempering only by 81/80 are labeled didymic, by 121/120 biyatismic, by 176/175 valinorsmic, by 243/242 rastmic, and by 385/384 keenanismic. Chords which require any two of 81/80, 121/120 or 243/242 are labeled urania, and any two of 121/120, 176/175 or 385/384 zeus.


Migration has MOS of size 7, 10, 17, 24, 31, 38, 69 and 100. Even the seven-note MOS, which is itself an essentially tempered chord, has for that reason quite a few chords, they become much more abundant with ten notes.
mohajira has MOS of size 7, 10, 17, 24, 31, 55 and 86. Even the seven-note MOS, which is itself an essentially tempered chord, has for that reason quite a few chords, they become much more abundant with ten notes.


=Triads=
=Triads=
Line 21: Line 21:
| | 2
| | 2
| | 0-1-3
| | 0-1-3
| | 1-11/9-20/11
| | 1-11/9-11/6
| | biyatismic
| | utonal
|-
|-
| | 3
| | 3
| | 0-2-3
| | 0-2-3
| | 1-3/2-20/11
| | 1-3/2-11/6
| | biyatismic
| | otonal
|-
|-
| | 4
| | 4
Line 56: Line 56:
| | 9
| | 9
| | 0-3-5
| | 0-3-5
| | 1-20/11-11/8
| | 1-11/6-11/8
| | biyatismic
| | utonal
|-
|-
| | 10
| | 10
Line 181: Line 181:
| | 34
| | 34
| | 0-3-16
| | 0-3-16
| | 1-20/11-11/7
| | 1-11/6-11/7
| | biyatismic
| | utonal
|-
|-
| | 35
| | 35
Line 261: Line 261:
| | 1
| | 1
| | 0-1-2-3
| | 0-1-2-3
| | 1-11/9-3/2-20/11
| | 1-11/9-3/2-11/6
| | urania
| | rastmic
|-
|-
| | 2
| | 2
| | 0-1-2-4
| | 0-1-2-4
| | 1-11/9-3/2-9/8
| | 1-11/9-3/2-9/8
| | urania
| | rastmic
|-
|-
| | 3
| | 3
| | 0-1-3-4
| | 0-1-3-4
| | 1-11/9-20/11-9/8
| | 1-11/9-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 4
| | 4
| | 0-2-3-4
| | 0-2-3-4
| | 1-3/2-20/11-9/8
| | 1-3/2-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 5
| | 5
| | 0-1-2-5
| | 0-1-2-5
| | 1-11/9-3/2-11/8
| | 1-11/9-3/2-11/8
| | urania
| | rastmic
|-
|-
| | 6
| | 6
| | 0-1-3-5
| | 0-1-3-5
| | 1-11/9-20/11-11/8
| | 1-11/9-11/6-11/8
| | biyatismic
| | utonal
|-
|-
| | 7
| | 7
| | 0-2-3-5
| | 0-2-3-5
| | 1-3/2-20/11-11/8
| | 1-3/2-11/6-11/8
| | biyatismic
| | ambitonal
|-
|-
| | 8
| | 8
Line 306: Line 306:
| | 10
| | 10
| | 0-3-4-5
| | 0-3-4-5
| | 1-20/11-9/8-11/8
| | 1-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 11
| | 11
Line 321: Line 321:
| | 13
| | 13
| | 0-2-3-6
| | 0-2-3-6
| | 1-3/2-20/11-5/3
| | 1-3/2-11/6-5/3
| | urania
| | otonal
|-
|-
| | 14
| | 14
| | 0-1-4-6
| | 0-1-4-6
| | 1-11/9-9/8-5/3
| | 1-11/9-10/9-5/3
| | urania
| | biyatismic
|-
|-
| | 15
| | 15
Line 347: Line 347:
| | 0-2-5-6
| | 0-2-5-6
| | 1-3/2-11/8-5/3
| | 1-3/2-11/8-5/3
| | urania
| | biyatismic
|-
|-
| | 19
| | 19
Line 411: Line 411:
| | 31
| | 31
| | 0-3-5-11
| | 0-3-5-11
| | 1-20/11-11/8-8/7
| | 1-11/6-11/8-8/7
| | zeus
| | keenanismic
|-
|-
| | 32
| | 32
| | 0-3-6-11
| | 0-3-6-11
| | 1-20/11-5/3-8/7
| | 1-11/6-5/3-8/7
| | zeus
| | keenanismic
|-
|-
| | 33
| | 33
Line 432: Line 432:
| | 0-5-8-11
| | 0-5-8-11
| | 1-11/8-5/4-8/7
| | 1-11/8-5/4-8/7
| | zeus
| | keenanismic
|-
|-
| | 36
| | 36
| | 0-6-8-11
| | 0-6-8-11
| | 1-5/3-5/4-8/7
| | 1-5/3-5/4-8/7
| | zeus
| | keenanismic
|-
|-
| | 37
| | 37
| | 0-2-5-13
| | 0-2-5-13
| | 1-3/2-11/8-12/7
| | 1-3/2-11/8-12/7
| | zeus
| | keenanismic
|-
|-
| | 38
| | 38
Line 462: Line 462:
| | 0-8-11-13
| | 0-8-11-13
| | 1-5/4-8/7-12/7
| | 1-5/4-8/7-12/7
| | zeus
| | keenanismic
|-
|-
| | 42
| | 42
Line 481: Line 481:
| | 45
| | 45
| | 0-1-3-16
| | 0-1-3-16
| | 1-11/9-20/11-11/7
| | 1-11/9-11/6-11/7
| | biyatismic
| | utonal
|-
|-
| | 46
| | 46
Line 491: Line 491:
| | 47
| | 47
| | 0-3-5-16
| | 0-3-5-16
| | 1-20/11-11/8-11/7
| | 1-11/6-11/8-11/7
| | biyatismic
| | utonal
|-
|-
| | 48
| | 48
Line 506: Line 506:
| | 50
| | 50
| | 0-3-11-16
| | 0-3-11-16
| | 1-20/11-8/7-11/7
| | 1-11/6-8/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 51
| | 51
Line 522: Line 522:
| | 0-5-13-16
| | 0-5-13-16
| | 1-11/8-12/7-11/7
| | 1-11/8-12/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 54
| | 54
Line 651: Line 651:
| | 1
| | 1
| | 0-1-2-3-4
| | 0-1-2-3-4
| | 1-11/9-3/2-20/11-9/8
| | 1-11/9-3/2-11/6-9/8
| | urania
| | rastmic
|-
|-
| | 2
| | 2
| | 0-1-2-3-5
| | 0-1-2-3-5
| | 1-11/9-3/2-20/11-11/8
| | 1-11/9-3/2-11/6-11/8
| | urania
| | rastmic
|-
|-
| | 3
| | 3
| | 0-1-2-4-5
| | 0-1-2-4-5
| | 1-11/9-3/2-9/8-11/8
| | 1-11/9-3/2-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 4
| | 4
| | 0-1-3-4-5
| | 0-1-3-4-5
| | 1-11/9-20/11-9/8-11/8
| | 1-11/9-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 5
| | 5
| | 0-2-3-4-5
| | 0-2-3-4-5
| | 1-3/2-20/11-9/8-11/8
| | 1-3/2-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 6
| | 6
Line 686: Line 686:
| | 8
| | 8
| | 0-1-3-4-6
| | 0-1-3-4-6
| | 1-11/9-20/11-9/8-5/3
| | 1-11/9-20/11-10/9-5/3
| | urania
| | biyatismic
|-
|-
| | 9
| | 9
Line 707: Line 707:
| | 0-2-3-5-6
| | 0-2-3-5-6
| | 1-3/2-20/11-11/8-5/3
| | 1-3/2-20/11-11/8-5/3
| | urania
| | biyatismic
|-
|-
| | 13
| | 13
Line 747: Line 747:
| | 0-2-3-6-8
| | 0-2-3-6-8
| | 1-3/2-20/11-5/3-5/4
| | 1-3/2-20/11-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 21
| | 21
Line 762: Line 762:
| | 0-2-5-6-8
| | 0-2-5-6-8
| | 1-3/2-11/8-5/3-5/4
| | 1-3/2-11/8-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 24
| | 24
Line 772: Line 772:
| | 0-4-5-6-8
| | 0-4-5-6-8
| | 1-9/8-11/8-5/3-5/4
| | 1-9/8-11/8-5/3-5/4
| | urania-
| | urania
|-
|-
| | 26
| | 26
Line 797: Line 797:
| | 0-2-5-8-13
| | 0-2-5-8-13
| | 1-3/2-11/8-5/4-12/7
| | 1-3/2-11/8-5/4-12/7
| | zeus
| | keenanismic
|-
|-
| | 31
| | 31
| | 0-5-8-11-13
| | 0-5-8-11-13
| | 1-11/8-5/4-8/7-12/7
| | 1-11/8-5/4-8/7-12/7
| | zeus
| | keenanismic
|-
|-
| | 32
| | 32
| | 0-1-3-5-16
| | 0-1-3-5-16
| | 1-11/9-20/11-11/8-11/7
| | 1-11/9-11/6-11/8-11/7
| | biyatismic
| | utonal
|-
|-
| | 33
| | 33
Line 816: Line 816:
| | 34
| | 34
| | 0-3-5-11-16
| | 0-3-5-11-16
| | 1-20/11-11/8-8/7-11/7
| | 1-11/6-11/8-8/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 35
| | 35
Line 837: Line 837:
| | 0-5-11-13-16
| | 0-5-11-13-16
| | 1-11/8-8/7-12/7-11/7
| | 1-11/8-8/7-12/7-11/7
| | zeus
| | keenanismic
|-
|-
| | 39
| | 39
Line 882: Line 882:
| | 0-6-8-11-19
| | 0-6-8-11-19
| | 1-5/3-5/4-8/7-10/7
| | 1-5/3-5/4-8/7-10/7
| | zeus
| | keenanismic
|-
|-
| | 48
| | 48
| | 0-8-11-13-19
| | 0-8-11-13-19
| | 1-5/4-8/7-12/7-10/7
| | 1-5/4-8/7-12/7-10/7
| | zeus
| | keenanismic
|-
|-
| | 49
| | 49
Line 941: Line 941:
| | 1
| | 1
| | 0-1-2-3-4-5
| | 0-1-2-3-4-5
| | 1-11/9-3/2-20/11-9/8-11/8
| | 1-11/9-3/2-11/6-9/8-11/8
| | urania
| | rastmic
|-
|-
| | 2
| | 2
Line 982: Line 982:
| | 0-2-3-5-6-8
| | 0-2-3-5-6-8
| | 1-3/2-20/11-11/8-5/3-5/4
| | 1-3/2-20/11-11/8-5/3-5/4
| | urania
| | biyatismic
|-
|-
| | 10
| | 10
Line 1,057: Line 1,057:
[[Category:Dyadic chords]]
[[Category:Dyadic chords]]
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Migration]]
[[Category:Mohajira]]
Retrieved from "https://en.xen.wiki/w/Mohajira/Chords"