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| {{Infobox MOS | | {{Infobox MOS |
| | Periods = 1 | | |Tuning=10L 3s<19/9>}}{{MOS intro|Scale Signature=10L 3s<19/9>}}It is the highest just tuning for greater luachoid, a scale pattern that expands on greater sephiroid ([[3L 7s (5/2-equivalent)|3L 7s]]). A tempered flat chain of 27/16 really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" modes the degrees are to be taken as numbered in descending order so that the the tempered 27/16 is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking. |
| | nLargeSteps = 10
| |
| | nSmallSteps = 3
| |
| | Equalized = 4
| |
| | Collapsed = 3
| |
| | Pattern = LLLLsLLLsLLLs
| |
| | Equave = 19/9}}
| |
| '''10L 3s(<19/9>)''', also known as greater luachoid is a scale pattern that expands on greater sephiroid ([[3L 7s (5/2-equivalent)|3L 7s]]). A tempered (flat) chain of the 13th harmonic or 5/3 really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" modes the degrees are to be taken as numbered in descending order so that the the tempered 13th harmonic or 5/3 is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.
| |
| {| class="wikitable" | | {| class="wikitable" |
| |- | | |- |
| Line 66: |
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| | |Elul | | | |Elul |
| |} | | |} |
| {| class="wikitable" | | {{MOS tuning spectrum|Scale Signature=10L 3s<19/9>}} |
| ! colspan="3" |Generator
| |
| !Cents
| |
| !Normalized Cents
| |
| !Centishrutis
| |
| !''ed23\22''
| |
| |-
| |
| | |3/10
| |
| | |
| |
| |
| |
| | |360
| |
| |360
| |
| |660
| |
| |''690''
| |
| |-
| |
| | |16/53
| |
| | |
| |
| |
| |
| | |362.264
| |
| |369.231
| |
| |676.923
| |
| |''694.340''
| |
| |-
| |
| |
| |
| |45/149
| |
| |
| |
| |362.416
| |
| |369.863
| |
| |678.082
| |
| |''694.631''
| |
| |-
| |
| |
| |
| |29/96
| |
| |
| |
| |362.500
| |
| |370.213
| |
| |678.723
| |
| |''694.792''
| |
| |-
| |
| |
| |
| |42/139
| |
| |
| |
| |362.590
| |
| |370.588
| |
| |679.412
| |
| |''694.964''
| |
| |-
| |
| | |13/43
| |
| | |
| |
| |
| |
| | |362.791
| |
| |371.429
| |
| |680.952
| |
| |''695.349''
| |
| |-
| |
| |
| |
| |36/119
| |
| |
| |
| |363.025
| |
| |372.414
| |
| |682.757
| |
| |''695.798''
| |
| |-
| |
| |
| |
| |23/76
| |
| |
| |
| |363.158
| |
| |372.973
| |
| |683.784
| |
| |''696.052''
| |
| |-
| |
| |
| |
| |33/109
| |
| |
| |
| |363.303
| |
| |373.584
| |
| |684.906
| |
| |''696.330''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |363.487
| |
| |374.364
| |
| |686.335
| |
| |''696.683''
| |
| |-
| |
| | |10/33
| |
| | |
| |
| |
| |
| | |363.636
| |
| |375.000
| |
| |687.500
| |
| |''696.970''
| |
| |-
| |
| |
| |
| |47/155
| |
| |
| |
| |363.871
| |
| |376.000
| |
| |689.333
| |
| |''697.419''
| |
| |-
| |
| |
| |
| |37/122
| |
| |
| |
| |363.944
| |
| |376.271
| |
| |689.8305
| |
| |''697.540''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |363.976
| |
| | 376.448
| |
| |690.155
| |
| |''697.620''
| |
| |-
| |
| | |
| |
| | |27/89
| |
| |
| |
| | | 364.045
| |
| |376.744
| |
| |690.698
| |
| |''697.753''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |364.112
| |
| | 377.033
| |
| |691.227
| |
| |''697.882''
| |
| |-
| |
| | |
| |
| | |17/56
| |
| |
| |
| | | 364.286
| |
| |377.778
| |
| |692.593
| |
| |''698.214''
| |
| |-
| |
| |
| |
| |
| |
| |41/135
| |
| |364.444
| |
| |378.4615
| |
| |693.846
| |
| |''698.5185''
| |
| |-
| |
| |
| |
| |24/79
| |
| |
| |
| |364.557
| |
| |378.947
| |
| |694.737
| |
| |''698.734''
| |
| |-
| |
| |
| |
| |31/102
| |
| |
| |
| |364.706
| |
| |379.392
| |
| |695.918
| |
| |''699.020''
| |
| |-
| |
| |
| |
| |38/125
| |
| |
| |
| |364.800
| |
| |380.000
| |
| |696.667
| |
| |''699.200''
| |
| |-
| |
| | |7/23
| |
| | |
| |
| |
| |
| | |365.217
| |
| |381.818
| |
| |700.000
| |
| |''700.000''
| |
| |-
| |
| |
| |
| |39/128
| |
| |
| |
| |365.625
| |
| |383.607
| |
| |703.279
| |
| |''700.781''
| |
| |-
| |
| |
| |
| |32/105
| |
| |
| |
| |365.714
| |
| |384.000
| |
| |704.000
| |
| |''700.952''
| |
| |-
| |
| |
| |
| |25/82
| |
| |
| |
| |365.854
| |
| |384.615
| |
| |705.182
| |
| |''701.2195''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |365.904
| |
| |384.844
| |
| |705.5475
| |
| |''701.319''
| |
| |-
| |
| |
| |
| |
| |
| |43/141
| |
| |365.9575
| |
| | 385.075
| |
| |705.970
| |
| |''701.418''
| |
| |-
| |
| |
| |
| |
| |
| |61/200
| |
| |366
| |
| |385.263
| |
| |706.316
| |
| |''701.500''
| |
| |-
| |
| | |
| |
| | |18/59
| |
| |
| |
| | |366.102
| |
| |385.714
| |
| |707.143
| |
| |''701.694''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |366.256
| |
| |386.402
| |
| |708.404
| |
| |''701.991''
| |
| |-
| |
| | |
| |
| | |29/95
| |
| |
| |
| | |366.316
| |
| |386.667
| |
| |708.889
| |
| |''702.105''
| |
| |-
| |
| |
| |
| |40/131
| |
| |
| |
| |366.412
| |
| |387.097
| |
| |709.677
| |
| |''702.290''
| |
| |-
| |
| | |
| |
| | |
| |
| |
| |
| | |366.414
| |
| |387.1065
| |
| |709.695
| |
| |''702.294''
| |
| |-
| |
| |
| |
| |51/167
| |
| |
| |
| |366.467
| |
| |387.342
| |
| |710.127
| |
| |''702.395''
| |
| |-
| |
| | |11/36
| |
| | |
| |
| |
| |
| | |366.667
| |
| |388.235
| |
| |711.765
| |
| |''702.778''
| |
| |-
| |
| |
| |
| |37/121
| |
| |
| |
| |366.942
| |
| |389.474
| |
| |713.196
| |
| |''703.306''
| |
| |-
| |
| |
| |
| |
| |
| | 63/206
| |
| |366.990
| |
| |389.691
| |
| |714.433
| |
| |''703.398''
| |
| |-
| |
| |
| |
| |26/85
| |
| |
| |
| |367.059
| |
| |390.000
| |
| |715.000
| |
| |''703.529''
| |
| |-
| |
| | |15/49
| |
| | |
| |
| |
| |
| | |367.347
| |
| |391.304
| |
| |717.391
| |
| |''704.082''
| |
| |-
| |
| |
| |
| |49/160
| |
| |
| |
| |367.500
| |
| |392.000
| |
| |718.667
| |
| |''704.375''
| |
| |-
| |
| |
| |
| |34/111
| |
| |
| |
| |367.568
| |
| |392.308
| |
| |719.231
| |
| |''704.5045''
| |
| |-
| |
| | |19/62
| |
| | |
| |
| |
| |
| | |367.742
| |
| |393.103
| |
| |720.690
| |
| |''704.838''
| |
| |-
| |
| | |4/13
| |
| | |
| |
| |
| |
| | |369.231
| |
| |400.000
| |
| |733.333
| |
| |''707.692''
| |
| |}
| |