Moremajorthanmajor at 03:30, 27 July 2023

2023-07-27T03:30:26Z

Moremajorthanmajor: /* See also */

2023-07-19T16:17:37Z

Moremajorthanmajor at 01:24, 24 June 2023

2023-06-24T01:24:05Z

← Older revision		Revision as of 01:24, 24 June 2023
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Moremajorthanmajor at 02:48, 5 June 2023

2023-06-05T02:48:02Z

Show changes

Moremajorthanmajor: Created page with "'''10L 3s(<19/9>)''', also known as greater luachoid is a scale pattern that expands on greater sephiroid (3L 7s). A tempered (flat) chain of the 13..."

2023-05-27T02:22:25Z

Created page with "'''10L 3s(<19/9>)''', also known as greater luachoid is a scale pattern that expands on greater sephiroid (3L 7s). A tempered (flat) chain of the 13..."

New page

'''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"
|-
! |Circle of fifths
! |Ascending scale
! |Mode
|-
| |I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X
| |L L L L s L L L s L L L s
| |Tishrei
|-
| |x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI
| |L L L s L L L s L L L s L
| |Cheshvan
|-
| |vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II
| |L L s L L L s L L L s L L
| |Kislev
|-
| |ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI
| |L s L L L s L L L s L L L
| |Tevet
|-
| |xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII
| |s L L L s L L L s L L L L
| |Shvat
|-
| |vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III
| |L L L s L L L s L L L L s
| |Adar minor
|-
| |iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII
| |L L s L L L s L L L L s L
| |Adar major
|-
| |xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII
| |L s L L L s L L L L s L L
| |Nisan
|-
| |viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV
| |s L L L s L L L L s L L L
| |Iyar
|-
| |iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII
| |L L L s L L L L s L L L s
| |Sivan
|-
| |xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX
| |L L s L L L L s L L L s L
| |Tammuz
|-
| |ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V
| |L s L L L L s L L L s L L
| |Av
|-
| |v-ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I
| |s L L L L s L L L s L L L
| |Elul
|}
{| class="wikitable"
! 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''
|}

== See also ==
[[10L 3s (33/16-equivalent)]] - harmonic subminor ninth tuning

[[10L 3s (21/10-equivalent)]] - septimal chromatic minor ninth tuning

[[10L 3s (19/9-equivalent)]] - highest tuning

User:Moremajorthanmajor/Greater Luachoid - Revision history

Moremajorthanmajor at 03:30, 27 July 2023

Moremajorthanmajor: /* See also */

Moremajorthanmajor at 01:24, 24 June 2023

Moremajorthanmajor at 02:48, 5 June 2023

Moremajorthanmajor: Created page with "'''10L 3s(<19/9>)''', also known as greater luachoid is a scale pattern that expands on greater sephiroid (3L 7s). A tempered (flat) chain of the 13..."