15L 4s: Difference between revisions

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| Pattern = LLLLsLLLLsLLLLsLLLs
| Pattern = LLLLsLLLLsLLLLsLLLs
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{{MOS intro}}


'''15L 4s''' is an [[MOS]] pattern generated by a large minor third of 5\19 (~315.8{{cent}}) to 4\15 (320{{cent}}). It is notable as the MOS scale of [[Catakleismic]][19].
It is notable as the MOS scale of [[Kleismic]][19].
 
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{MOS tuning spectrum
! colspan="6" |Generator
| 11/8 = [[Catakleismic]]
!Bright gen.
}}
!Dark gen.
 
!L
{{stub}}
!s
!L/s
!Comments
|-
|5\19
|
|
|
|
|
|315.789
|884.211
|1
|1
|1.000
|Equalized 15L 4s (Degenerate case)
|-
|
|
|
|
|
|29\110
|316.364
|883.636
|6
|5
|1.200
|
|-
|
|
|
|
|24\91
|
|316.484
|883.516
|5
|4
|1.250
|
|-
|
|
|
|
|
|43\163
|316.564
|883.436
|9
|7
|1.286
|
|-
|
|
|
|19\72
|
|
|316.667
|883.333
|4
|3
|1.333
|Supersoft 15L 4s
|-
|
|
|
|
|
|52\197
|316.751
|883.249
|11
|8
|1.375
|
|-
|
|
|
|
|33\125
|
|316.800
|883.200
|7
|5
|1.400
|
|-
|
|
|
|
|
|47\178
|316.854
|883.146
|10
|7
|1.429
|
|-
|
|
|14\53
|
|
|
|316.981
|883.019
|3
|2
|1.500
|Monosoft 15L 4s
|-
|
|
|
|
|
|51\193
|317.098
|882.902
|11
|7
|1.571
|
|-
|
|
|
|
|37\140
|
|317.143
|882.857
|8
|5
|1.600
|
|-
|
|
|
|
|
|60\227
|317.181
|882.819
|13
|8
|1.625
|Golden 15L 4s sequence can be found here
|-
|
|
|
|23\87
|
|
|317.241
|882.759
|5
|3
|1.667
|Semisoft 15L 4s
|-
|
|
|
|
|
|55\208
|317.308
|882.692
|12
|7
|1.714
|
|-
|
|
|
|
|32\121
|
|317.355
|882.645
|7
|4
|1.750
|
|-
|
|
|
|
|
|41\155
|317.419
|882.581
|9
|5
|1.800
|
|-
|
|9\34
|
|
|
|
|317.647
|882.353
|2
|1
|2.000
|Basic 15L 4s (Generators smaller than this are proper)
|-
|
|
|
|
|
|40\151
|317.881
|882.119
|9
|4
|2.250
|
|-
|
|
|
|
|31\117
|
|317.949
|882.051
|7
|3
|2.333
|
|-
|
|
|
|
|
|53\200
|318.000
|882.000
|12
|5
|2.400
|
|-
|
|
|
|22\83
|
|
|318.072
|881.928
|5
|2
|2.500
|Semihard 15L 4s
|-
|
|
|
|
|
|57\215
|318.140
|881.860
|13
|5
|2.600
|
|-
|
|
|
|
|35\132
|
|318.182
|881.818
|8
|3
|2.667
|
|-
|
|
|
|
|
|48\181
|318.232
|881.768
|11
|4
|2.750
|
|-
|
|
|13\49
|
|
|
|318.367
|881.633
|3
|1
|3.000
|Monohard 15L 4s
|-
|
|
|
|
|
|43\162
|318.519
|881.481
|10
|3
|3.333
|
|-
|
|
|
|
|30\113
|
|318.584
|881.416
|7
|2
|3.500
|
|-
|
|
|
|
|
|47\177
|318.644
|881.356
|11
|3
|3.667
|
|-
|
|
|
|17\64
|
|
|318.750
|881.250
|4
|1
|4.000
|Superhard 15L 4s
|-
|
|
|
|
|
|38\143
|318.881
|881.119
|9
|2
|4.500
|
|-
|
|
|
|
|21\79
|
|318.987
|881.013
|5
|1
|5.000
|
|-
|
|
|
|
|
|25\94
|319.149
|880.851
|6
|1
|6.000
|
|-
|4\15
|
|
|
|
|
|320.000
|880.000
|1
|0
|→ inf
|Collapsed 15L 4s (Degenerate case)
|}