User:Moremajorthanmajor/Greater blacksmith: Difference between revisions

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==Scale tree==
==Scale tree==
{| class="wikitable"
{| class="wikitable"
! colspan="3" |Generator
!Generator
!Low
!Low
!High
!High
|-
|-
| |1/15
| |1/15
| |
| |80.000
| |
| |80
|85.714
|85.714
|-
|-
| |5/70
| |5/70
| |
| |
| |85.714
| |85.714
|91.837
|91.837
|-
|-
| |
| |9/125
| |9/125
| |
| |86.400
| |86.4
|92.571
|92.571
|-
|-
| |4/55
| |4/55
| |
| |
| |87.273
| |87.273
|93.5065
|93.506
|-
|-
| |
| |7/95
| |7/95
| |
| |88.421
| |88.421
|94.737
|94.737
|-
|-
|
|10/135
|10/135
|
|88.889
|88.889
|95.238
|95.238
|-
|-
|
|13/175
|13/175
|
|89.143
|89.143
|95.51
|95.510
|-
|-
| |3/40
| |3/40
| |
| |90.000
| |
| |90
|96.429
|96.429
|-
|-
| |
| |
| |
| |
| |91.026
| |91.026
|97.5275
|97.527
|-
|-
| |
| |8/105
| |8/105
| |
| |91.429
| |91.429
|97.959
|97.959
|-
|-
| |
| |
| |
| |
| |91.672
| |91.672
|98.22
|98.220
|-
|-
| |
| |5/65
| |5/65
| |
| |92.308
| |92.308
|98.901
|98.901
|-
|-
| |
| |
| |
| |
| |93.119
| |93.119
|99.78
|99.780
|-
|-
| |
| |7/90
| |7/90
| |
| |93.333
| |93.333
|100
|100.000
|-
|-
| |
| |9/115
| |9/115
| |
| |93.913
| |93.913
|100.621
|100.621
|-
|-
| |
| |11/140
| |11/140
| |
| |94.286
| |94.286
|101.02
|101.020
|-
|-
| |
| |13/165
| |13/165
| |
| |94.5455
| |94.5455
|101.299
|101.299
|-
|-
| |
| |15/190
| |15/190
| |
| |94.737
| |94.737
|101.504
|101.504
|-
|-
| |
| |17/215
| |17/215
| |
| |94.884
| |94.884
|101.661
|101.661
|-
|-
| |
| |19/240
| |19/240
| |
| |95.000
| |95
|101.786
|101.786
|-
|-
| |2/25
| |2/25
| |
| |96.000
| |
| |96
|102.857
|102.857
|-
|-
|
|19/235
|19/235
|
|97.021
|97.021
|103.951
|103.951
|-
|-
|
|17/210
|17/210
|
|97.143
|97.143
|104.082
|104.082
|-
|-
|
|15/185
|15/185
|
|97.297
|97.297
|104.247
|104.247
|-
|-
|
|13/160
|13/160
|
|97.500
|97.5
|104.464
|104.464
|-
|-
| |
| |11/135
| |11/135
| |
| |97.778
| |97.778
|104.762
|104.762
|-
|-
| |
| |9/110
| |9/110
| |
| |98.182
| |98.182
|105.195
|105.195
|-
|-
| |
| |7/85
| |7/85
| |
| |98.824
| |98.824
|105.882
|105.882
|-
|-
| |
| |
| |12/145
| |12/145
| |99.31
| |99.310
|106.404
|106.404
|-
|-
| |
| |5/60
| |5/60
| |
| |100.000
| |100
|107.143
|107.143
|-
|-
| |
| |
| |
| |
| |100.757
| |100.757
|107.954
|107.954
|-
|-
| |
| |8/95
| |8/95
| |
| |101.053
| |101.053
|108.271
|108.271
|-
|-
| |
| |
| |
| |
| |101.357
| |101.357
|108.596
|108.596
|-
|-
|
|11/130
|11/130
|
|101.538
|101.538
|108.791
|108.791
|-
|-
|
|14/165
|14/165
|
|101.818
|101.818
|109.091
|109.091
|-
|-
| |3/35
| |3/35
| |
| |
| |102.857
| |102.857
|110.204
|110.204
|-
|-
| |
| |
| |
| |
| |103.524
| |103.524
|110.918
|110.918
|-
|-
| |
| |10/115
| |10/115
| |
| |104.348
| |104.348
|111.801
|111.801
|-
|-
| |
| |7/80
| |7/80
| |
| |105.000
| |105
|112.500
|112.5
|-
|-
|
|11/125
|11/125
|
|105.600
|105.6
|113.143
|113.143
|-
|-
| |4/45
| |4/45
| |
| |
| |106.667
| |106.667
|114.286
|114.286
|-
|-
| |
| |13/145
| |13/145
| |
| |107.586
| |107.586
|115.271
|115.271
|-
|-
| |
| |9/100
| |9/100
| |
| |108.000
| |108
|115.714
|115.714
|-
|-
| |5/55
| |5/55
| |
| |
| |109.091
| |109.091
|116.883
|116.883
|-
|-
| |1/10
| |1/10
| |
| |120.000
| |
| |120
|128.571
|128.571
|}
|}
Line 281: Line 191:
[[10L 5s (33/16-equivalent)]] - harmonic subminor ninth
[[10L 5s (33/16-equivalent)]] - harmonic subminor ninth


10L 5s (44/21-equivalent) - Neogothic minor ninth  
[[10L 5s (44/21-equivalent)]] - Neogothic minor ninth  


[[10L 5s (21/10-equivalent)]] - idealized septimal chromatic minor ninth
[[10L 5s (21/10-equivalent)]] - idealized septimal chromatic minor ninth
[[Category:15-tone scales]]
[[Category:15-tone scales]]

Latest revision as of 03:33, 27 July 2023

The 10L 5s(<21/10>) (or 2L 1s<1\5>(<21/10>)) MOS scale contains five 2L 1s patterns per octave. Its generator is a neutral or diatonic semitone of 1\15 (80 ¢) to 1\10ed15\14 (128.571 ¢).

Scale tree

Generator Low High
1/15 80.000 85.714
5/70 85.714 91.837
9/125 86.400 92.571
4/55 87.273 93.506
7/95 88.421 94.737
10/135 88.889 95.238
13/175 89.143 95.510
3/40 90.000 96.429
91.026 97.527
8/105 91.429 97.959
91.672 98.220
5/65 92.308 98.901
93.119 99.780
7/90 93.333 100.000
9/115 93.913 100.621
11/140 94.286 101.020
13/165 94.5455 101.299
15/190 94.737 101.504
17/215 94.884 101.661
19/240 95.000 101.786
2/25 96.000 102.857
19/235 97.021 103.951
17/210 97.143 104.082
15/185 97.297 104.247
13/160 97.500 104.464
11/135 97.778 104.762
9/110 98.182 105.195
7/85 98.824 105.882
12/145 99.310 106.404
5/60 100.000 107.143
100.757 107.954
8/95 101.053 108.271
101.357 108.596
11/130 101.538 108.791
14/165 101.818 109.091
3/35 102.857 110.204
103.524 110.918
10/115 104.348 111.801
7/80 105.000 112.500
11/125 105.600 113.143
4/45 106.667 114.286
13/145 107.586 115.271
9/100 108.000 115.714
5/55 109.091 116.883
1/10 120.000 128.571

See also

10L 5s (33/16-equivalent) - harmonic subminor ninth

10L 5s (44/21-equivalent) - Neogothic minor ninth

10L 5s (21/10-equivalent) - idealized septimal chromatic minor ninth

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