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1L 11s: Difference between revisions

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This MOS, also called the "happy dodecatonic", is not a complete scale for any "interesting" temperament ― the simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, and even there it implies a val with warts for 3 and (for the most part) 5. Perhaps the only use for it is to extend it to 13 tones, i.e. to make it into a different MOS.
{{Infobox MOS}}
{{MOS intro}}


The simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, or [[passion]] (5;4 = +3 generators), and even there it implies a val with warts for 3 and (for the most part) 5.


{| class="wikitable"
== Scale properties ==
! colspan=8 | generator
{{TAMNAMS use}}
! | L
 
! | s
=== Intervals ===
! | L/s
{{MOS intervals}}
! | gen (cents)
 
! | comment
=== Generator chain ===
|-
{{MOS genchain}}
| | 0\1
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| |
 
| |
== Scale tree ==
| |
{{MOS tuning spectrum
| |
| 6/5 = ↑ [[Passionate]]
| |
| 5/4 = [[Passion]]
| | 1
| 13/8 = Unnamed golden tuning
| | 0
| 12/5 = [[Slithy]]
| |
| 13/5 = Golden [[octacot]] (88.118¢)
| | 0.000
| 10/3 = [[Marvolo]]
| |
| 7/2 = [[Nautilus]]
|-
| 4/1 = [[Nuke]]
| |
| 9/2 = [[Valentine]]
| |
| 6/1 = [[Slurpee]], ↓ [[unicorn]]
| |
}}
| |
 
| |
{{Todo| expand }}
| |
| | 1\18
| |
| | 7
| | 1
| | 7.000
| | 66.667
| |
|-
| |
| |
| |
| |
| |
| | 1\17
| |
| |
| | 6
| | 1
| | 6.000
| | 70.588
| |
|-
| |
| |
| |
| |
| |
| |
| | 2\33
| |
| | 11
| | 2
| | 5.500
| | 72.727
| |
|-
| |
| |
| |
| |
| | 1\16
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 75.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 3\47
| |
| | 14
| | 3
| | 4.667
| | 76.596
| |
|-
| |
| |
| |
| |
| |
| | 2\31
| |
| |
| | 9
| | 2
| | 4.500
| | 77.419
| |
|-
| |
| |
| |
| |
| |
| |
| | 3\46
| |
| | 13
| | 3
| | 4.333
| | 78.261
| |
|-
| |
| |
| |
| | 1\15
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 80.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 4\59
| |
| | 15
| | 4
| | 3.750
| | 81.356
| |
|-
| |
| |
| |
| |
| |
| | 3\44
| |
| |
| | 11
| | 3
| | 3.667
| | 81.818
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\73
| |
| | 18
| | 5
| | 3.600
| | 82.192
| |
|-
| |
| |
| |
| |
| | 2\29
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 82.759
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\72
| |
| | 17
| | 5
| | 3.400
| | 83.333
| |
|-
| |
| |
| |
| |
| |
| | 3\43
| |
| |
| | 10
| | 3
| | 3.333
| | 83.721
| |
|-
| |
| |
| |
| |
| |
| |
| | 4\57
| |
| | 13
| | 4
| | 3.250
| | 84.211
| |
|-
| |
| |
| | 1\14
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 85.714
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\69
| |
| | 14
| | 5
| | 2.800
| | 86.957
| |
|-
| |
| |
| |
| |
| |
| | 4\55
| |
| |
| | 11
| | 4
| | 2.750
| | 87.273
| |
|-
| |
| |
| |
| |
| |
| |
| | 7\96
| |
| | 19
| | 7
| | 2.714
| | 87.500
| |
|-
| |
| |
| |
| |
| | 3\41
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 87.805
| | Octacot is around here
|-
| |
| |
| |
| |
| |
| | 5\68
| |
| |
| | 13
| | 5
| | 2.600
| | 88.235
| |
|-
| |
| |
| |
| |
| |
| |
| | 7\95
| |
| | 18
| | 7
| | 2.571
| | 88.421
| |
|-
| |
| |
| |
| | 2\27
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 88.889
| |
|-
| |
| |
| |
| |
| |
| |
| | 7\94
| |
| | 17
| | 7
| | 2.429
| | 89.362
| |
|-
| |
| |
| |
| |
| |
| | 5\67
| |
| |
| | 12
| | 5
| | 2.400
| | 89.552
| |
|-
| |
| |
| |
| |
| | 3\40
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 90.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 7\93
| |
| | 16
| | 7
| | 2.286
| | 90.323
| |
|-
| |
| |
| |
| |
| |
| | 4\53
| |
| |
| | 9
| | 4
| | 2.250
| | 90.566
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\66
| |
| | 11
| | 5
| | 2.200
| | 90.909
| |
|-
| |
| | 1\13
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 92.308
| |
|-
| |
| |
| |
| |
| |
| |
| | 6\77
| |
| | 11
| | 6
| | 1.833
| | 93.506
| |
|-
| |
| |
| |
| |
| |
| | 5\64
| |
| |
| | 9
| | 5
| | 1.800
| | 93.750
| |
|-
| |
| |
| |
| |
| | 4\51
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 94.118
| |
|-
| |
| |
| |
| |
| |
| | 7\89
| |
| |
| | 12
| | 7
| | 1.714
| | 94.382
| |
|-
| |
| |
| |
| | 3\38
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 94.737
| |
|-
| |
| |
| |
| |
| | 5\63
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 95.238
| |
|-
| |
| |
| |
| |
| |
| | 7\88
| |
| |
| | 11
| | 7
| | 1.571
| | 95.455
| |
|-
| |
| |
| | 2\25
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 96.000
| |
|-
| |
| |
| |
| |
| |
| | 7\87
| |
| |
| | 10
| | 7
| | 1.429
| | 96.552
| |
|-
| |
| |
| |
| |
| | 5\62
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 96.774
| |
|-
| |
| |
| |
| |
| |
| | 8\99
| |
| |
| | 11
| | 8
| | 1.375
| | 96.970
| |
|-
| |
| |
| |
| | 3\37
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 97.297
| |
|-
| |
| |
| |
| |
| |
| | 7\86
| |
| |
| | 9
| | 7
| | 1.286
| | 97.674
| |
|-
| |
| |
| |
| |
| | 4\49
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 97.959
| | Passion is around here
|-
| |
| |
| |
| |
| |
| | 5\61
| |
| |
| | 6
| | 5
| | 1.200
| | 98.361
| |
|-
| |
| |
| |
| |
| |
| |
| | 6\73
| |
| | 7
| | 6
| | 1.167
| | 98.630
| |
|-
| | 1\12
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 100.000
| |
|}
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