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This scale, a Long Common Practice minor mode, occurs in [[12edo]]; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small.
This scale, a Long Common Practice minor mode, occurs in [[12edo]]; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small. It also gives the wide values for the period of the Greater [[Orwellismic temperaments #Triskaidekic|Triskaidekic]], [[Octagar temperaments #Tridecatonic|tridecatonic]], [[Ragismic microtemperaments #Trideci|trideci]] and [[aluminium]] temperaments.
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|+
!Nonet
!Period
!Notes
|-
|-
! rowspan="2" |Degrees
|1/1
! rowspan="2" |Octatonic
|''92.308''
! colspan="3" |Soft Phrygian  
|Soft Phrygian mode begins
! colspan="4" |Phrygian
|-
|-
!Minimum
|25\24
!Median
|''96.154''
!Maximum
|
!Minimum
!Median
!15/7±13¢
!Maximum
|-
|-
| |1
|24\23
| |G#/Ab
|96.321
|92.308
|
|96.5035
|-
| colspan="2" |96.703
|23\22
|98.263
|96.503
|100.496-102.496
|
|101.5385
|-
|-
| |2
|22\21
| |A
|96.703
|184.615
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|193.007
| colspan="2" |193.407
|196.526
|200.991-204.912
|203.077
|-
|-
| |3
|21\20
| |A#/Bb
|96.923
|276.923
|
|289.5105
| colspan="2" |290.11
|294.789
|301.487-307.487
|304.615
|-
|-
| |4
|20\19
| |B
|97.166
|369.231
|
|386.014
| colspan="2" |386.813
|393.052
|401.982-409.982
|406.154
|-
|-
| |5
|19\18
| |C
|97.436
|461.5385
|
|482.5175
| colspan="2" |483.5165
|491.315
|502.478-512.478
|507.692
|-
|-
| |6
|37\35
| |C#/Qb
|97.582
|553.846
|
|579.021
| colspan="2" |580.22
|589.578
|602.974-614.974
|609.231
|-
|-
| |7
|18\17
| |Q
|97.738
|646.154
|
|675.5245
| colspan="2" |676.923
|687.841
|703.469-717.469
|710.769
|-
|-
| |8
|17\16
| |D
|98.077
|738.4615
|
|772.0228
| colspan="2" |773.626
|786.104
|803.965-819.965
|812.308
|-
|-
| |9
|16\15
| |D#/Eb
|98.462
|830.769
|Thirdtone Phrygian mode ends
|868.5315
| colspan="2" |870.33
|884.367
|904.46-922.46
|913.846
|-
|-
| |10
|15\14
| |E
|98.901
|923.077
|Semitone Phrygian mode begins
|965.035
| colspan="2" |967.033
|982.63
|1004.956-1024.956
|1015.385
|-
|-
| |11
|14\13
| |E#/Fb
|99.408
|1015.385
|
|1061.5385
| colspan="2" |1063.736
|1080.893
|1105.452-1127.452
|1116.923
|-
|-
| |12
|27\25
| |F
|99.692
|1107.692
|
|1158.042
| colspan="2" |1160.4395
|1179.156
|1205.947-1299.947
|1218.4615
|-
|-
| |13
|13\12
| |G
|''100.000''
|1200
|
|1254.5455
| colspan="2" |1257.143
|1277.419
|1306.443-1332.443
|1320
|}
 
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|12\11
! colspan="2" rowspan="2" |Octatonic
|100.699
! colspan="3" |Intense Phrygian
|
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum
|11\10
!Median
|101.538
!Maximum
|Semitone Phrygian mode ends, Intense Phrygian mode begins
!Minimum
!Median
!Maximum
!Minimum
!Median
!11/5±13¢
!Maximum
|-
|-
| |1
|21\19
| |F#/Gb
|G#/Ab
|101.5385
|102.024
|102.024
| colspan="2" |102.564
|
|103.167
| colspan="2" |103.846
|104.615
|104-106
|105.4945
|-
| |2
| |G
|A
|203.077
|204.0485
| colspan="2" |205.128
|206.335
| colspan="2" |207.692
|209.231
|208.001-212.001
|210.989
|-
|-
| |3
|10\9
| |G#/Ab
|102.564
|A#/Bb
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|304.615
|306.073
| colspan="2" |307.692
|309.502
| colspan="2" |311.5385
|313.846
|312.001-318.001
|316.4835
|-
|-
| |4
|19\17
| |A
|103.167
|B
|
|406.154
|408.097
| colspan="2" |410.256
|412.67
| colspan="2" |415.385
|418.4615
|416.001-424.001
|421.978
|-
|-
| |5
|9\8
| |B
|''103.846''
|C
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|507.692
|510.1215
| colspan="2" |512.8205
|515.837
| colspan="2" |519.231
|523.077
|520.002-530.002
|527.4725
|-
|-
| |6
|17\15
| |B#/Hb
|104.615
|C#/Qb
|
|609.231
|612.146
| colspan="2" |615.384
|619.0045
| colspan="2" |623.077
|627.692
|624.002-636.002
|632.967
|-
|-
| |7
|8\7
| |H
|105.495
|Q
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|710.769
|714.17
| colspan="2" |717.945
|722.172
| colspan="2" |736.923
|732.308
|728.002-742.0022
|738.4615
|-
|-
| |8
|15\13
| |C
|106.509
|D
|
|812.308
|816.194
| colspan="2" |820.513
|825.339
| colspan="2" |830.769
|836.923
|832.003-848.002
|843.856
|-
|-
| |9
|22\19
| |C#/Db
|106.883
|D#/Eb
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|913.846
|918.219
| colspan="2" |923.077
|929.507
| colspan="2" |934.615
|941.5385
|936.003-924.003
|949.4505
|-
|-
| |10
|29\25
| |D
|107.077
|E
|
|1015.385
|1020.243
| colspan="2" |1025.641
|1031.674
| colspan="2" |1038.4165
|1046.154
|1040.003-1060.003
|1054.945
|-
|-
| |11
|7\6
| |D#/Eb
|''107.692''
|E#/Fb
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1116.923
|1123.267
| colspan="2" |1128.205
|1134.842
| colspan="2" |1142.308
|1150.769
|1144.004-1166.004
|1160.44
|-
|-
| |12
|20\17
| |E
|108.597
|F
|
|1218.4615
|1224.291
| colspan="2" |1230.769
|1238.009
| colspan="2" |1246.154
|1255.385
|1248.004-1272.004
|1265.935
|-
|-
| |13
|13\11
| |F
|109.091
|G
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|1320
|1326.316
| colspan="2" |1333.333
|1341.1765
| colspan="2" |1350
|1360
|1352.004-1378.004
|1371.429
|}
 
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! colspan="3" |Aeolian  
! colspan="4" |Intense Aeolian  
|-
|-
!Minimum
|19\16
!Median
|109.615
!Maximum
|
!Minimum
!9/4±13¢
!Median
!Maximum
|-
|-
| |1
|6\5
| |F#/Gb
|105.4945
|106.509
| colspan="2" |107.692
|106.993-108.993
|109.091
|110.769
|110.769
|Ultrapyth Intense Aeolian mode ends
|}Golden/Pyrite Tunings±13¢
{| class="wikitable"
|-
|-
| |2
! rowspan="4" |Degrees
| |G
! colspan="2" rowspan="3" |Octatonic
|210.989
! colspan="2" |Soft Phrygian
|213.018
! colspan="4" |Phrygian
| colspan="2" |215.385
|213.986-217.986
|218.182
|221.5385
|-
| |3
| |G#/Ab
|316.4835
|319.527
| colspan="2" |323.077
|320.979-326.979
|327.273
|332.308
|-
| |4
| |A
|421.978
|426.036
| colspan="2" |430.769
|427.972-435.972
|436.364
|443.076
|-
| |5
| |B
|527.4725
|532.544
| colspan="2" |538.4615
|534.965-544.965
|545.4545
|553.846
|-
| |6
| |B#/Hb
|632.967
|639.053
| colspan="2" |646.154
|641.9585-653.9585
|654.5455
|664.615
|-
| |7
| |H
|738.4615
|745.562
| colspan="2" |754.846
|748.9515-762.9515
|763.636
|775.385
|-
| |8
| |C
|843.856
|853.071
| colspan="2" |861.5385
|855.945-871.945
|872.727
|886.154
|-
| |9
| |C#/Db
|949.4505
|958.58
| colspan="2" |969.231
|962.938-980.938
|981.818
|996.923
|-
| |10
| |D
|1054.945
|1065.089
| colspan="2" |1076.923
|1069.931-1089.931
|1090.909
|1107.692
|-
| |11
| |D#/Eb
|1160.44
|1171.598
| colspan="2" |1184.615
|1177-924-1199.924
|1200
|1218.4615
|-
| |12
| |E
|1265.9344
|1278.1065
| colspan="2" |1292.308
|1283.917-1307.917
|1309.094
|1329.231
|-
|-
| |13
! rowspan="3" |Min-Med
| |F
! rowspan="3" |Min-Max/Med-Max
|1371.429
! colspan="2" |Thirdtone
|1384.615
! colspan="2" |Semitone
| colspan="2" |1400
|1390.91-1416.91
|1418.182
|1440
|}
Golden Tunings
 
Phrygian Mode (Neapolitan minor/"major")
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="2" |Min-Med/Min-Max
! rowspan="2" |Octatonic
! rowspan="2" |Med-Max
! colspan="2" |Soft Phrygian
! rowspan="2" |Min-Med/Min-Max
! colspan="3" |Phrygian
! rowspan="2" |Med-Max
|-
|-
!Min-Med±13¢
!Natural
!Min-Max/Med-Max±13¢
!Subset of 26edn
!Min-Med±13¢
!Min-Max±13¢
!Med-Max±13¢
|-
|-
| |1
| |1
| |G#/Ab
| |G#/Ab
|G#v/Ab^
|95.389-97.389
|95.389-97.389
|95.578-97.578
|95.578-97.578
|96.7665-98.7665
|95.957-98.345
|97.176-99.176
|96.785-98.844
|98.359-100.359
|98.359-100.709
|99.058-101.523
|-
|-
| |2
| |2
| |A
| colspan="2" |A
|190.778-194.778
|190.778-194.778
|191.155-195.155
|191.155-195.155
|193.533-197.533
|191.914-196.689
|194.352-198.352
|193.569-197.688
|196.719-200.719
|196.719-201.417
|198.1165-203.046
|-
|-
| |3
| |3
| |A#/Bb
| |A#/Bb
|A#v/Bb^
|286.1665-292.1665
|286.1665-292.1665
|286.733-292.733
|286.733-292.733
|290.2995-296.2995
|287.871-295.034
|291.528-297.528
|290.354-296.531
|295.078-301.078
|295.078-302.126
|297.175-304.569
|-
|-
| |4
| |4
| |B
| colspan="2" |B
|381.555-389.555
|381.555-389.555
|382.3105-390.3105
|382.3105-390.3105
|387.063-395.063
|383.828-393.378
|388.705-396.705
|387.138-395.375
|393.4375-401.4375
|393.4375-402.835
|396.233-406.092
|-
|-
| |5
| |5
| |C
| |C
|B#v/Cb^
|476.944-486.944
|476.944-486.944
|477.888-487.888
|477.888-487.888
|483.833-493.833
|479.785-491.723
|485.881-495.881
|483.923-494.219
|491.797-501.797
|491.797-503.544
|495.291-507.615
|-
|-
| |6
| |6
| |C#/Qb
| |C#/Qb
|C
|572.333-584.333
|572.333-584.333
|573.466-585.466
|573.466-585.466
|580.299-592.299
|575.742-590.068
|583.057-595.057
|580.707-593.063
|590.156-602.156
|590.156-604.253
|594.349-609.138
|-
|-
| |7
| |7
| |Q
| |Q
|Db
|667.722-681.722
|667.722-681.722
|669.043-683.043
|669.043-683.043
|677.366-691.366
|671.699-688.412
|680.233-694.233
|677.492-691.907
|688.516-702.516
|688.516-704.962
|693.408-710.661
|-
|-
| |8
| |8
| |D
| |D
|Q#
|763.111-781.111
|763.111-781.111
|764.621-780.621
|764.621-780.621
|774.132-790.132
|767.656-786.757
|777.409-793.409
|774.2765-790.75
|786.875-802.875
|786.875-805.67
|792.466-812.184
|-
|-
| |9
| |9
| |D#/Eb
| |D#/Eb
|Eb
|858.5-876.5
|858.5-876.5
|860.199-878.199
|860.199-878.199
|870.899-888.899
|863.613-885.1015
|874.585-892.585
|871.061-889.594
|885.234-903.234
|885.234-906.379
|891.524-913.707
|-
|-
| |10
| |10
| |E
| |E
|D#
|953.8885-973.8885
|953.8885-973.8885
|955.776-975.776
|955.776-975.776
|967.665-987.665
|959.57-983.446
|971.761-991.761
|967.846-988.438
|983.594-1003.594
|983.594-1007.088
|990.582-1015.23
|-
|-
| |11
| |11
| |E#/Fb
| |E#/Fb
|Fb
|1049.277-1071.277
|1049.277-1071.277
|1051.354-1073.354
|1051.354-1073.354
|1064.432-1086.432
|1055.527-1081.791
|1068.9375-1090.9375
|1064.63-1087.282
|1081.953-1103.953
|1081.953-1107.797
|1089.641-1116.75
|-
|-
| |12
| |12
| |F
| |F
|E#
|1144.666-1168.666
|1144.666-1168.666
|1146.932-1170.932
|1146.932-1170.932
|1161.198-1185.198
|1151.484-1180.135
|1166.114-1190.114
|1161.415-1186.126
|1180.312-1204.312
|1180.312-1208.506
|1188.699-1218.276
|-
|-
| |13
| |13
| |G
| colspan="2" |G
|1240.055-1266.055
|1240.055-1266.055
|1242.506-1268.509
|1242.506-1268.509
|1257.965-1283.965
|1247.441-1278.48
|1263.29-1289.29
|1258.199-1284.969
|1278.672-1304.672
|1278.672-1309.2145
|1287.757-1319.799
|}
|}
Phrygian-Aeolian Mode (intermediate minor)
 
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="4" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian
! colspan="2" |Soft Aeolian
|-
|-
!Min-Med/Min-Max±13¢
! rowspan="2" |Min-Med/Min-Max
!Med-Max±13¢
! rowspan="2" |Med-Max
!Min-Med/Min-Max±13¢
! rowspan="2" |Min-Med/Min-Max
!Med-Max±13¢
! rowspan="2" |Med-Max
!Min-Med/Min-Max±13¢
! rowspan="2" |Min-Med/Min-Max
!Med-Max±13¢
! rowspan="2" |Med-Max
|-
! colspan="2" |Natural
! colspan="2" |Subset of 26edn
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|G#/Ab
|G#/Ab
|F#v/Gb^
|G#v/Ab^
|100.905-102.905
|100.905-102.905
|101.1465-103.1465
|101.1465-103.1465
Line 589: Line 315:
| |2
| |2
| |G
| |G
|A
|G
|A
|A
|201.81-205.81
|201.81-205.81
Line 600: Line 328:
| |G#/Ab
| |G#/Ab
|A#/Bb
|A#/Bb
|G#v/Ab^
|A#v/Bb^
|302.715-308.715
|302.715-308.715
|303.44-309.44
|303.44-309.44
Line 609: Line 339:
| |4
| |4
| |A
| |A
|B
|A
|B
|B
|403.62-411.62
|403.62-411.62
Line 620: Line 352:
| |B
| |B
|C
|C
|A#v/Bb^
|B#v/Cb^
|504.525-514.525
|504.525-514.525
|505.733-515.733
|505.733-515.733
Line 630: Line 364:
| |B#/Hb
| |B#/Hb
|C#/Qb
|C#/Qb
|B
|C
|605.43-617.43
|605.43-617.43
|606.879-618.879
|606.879-618.879
Line 640: Line 376:
| |H
| |H
|Q
|Q
|Cb
|Db
|706.335-720.335
|706.335-720.335
|708.026-722.026
|708.026-722.026
Line 650: Line 388:
| |C
| |C
|D
|D
|H#
|Q#
|807.24-823.24
|807.24-823.24
|809.172-825.172
|809.172-825.172
Line 660: Line 400:
| |C#/Db
| |C#/Db
|D#/Eb
|D#/Eb
|Db
|Eb
|908.145-926.145
|908.145-926.145
|910.319-928.319
|910.319-928.319
Line 670: Line 412:
| |D
| |D
|E
|E
|C#
|D#
|1009.0505-1029.0505
|1009.0505-1029.0505
|1011.465-1031.465
|1011.465-1031.465
Line 680: Line 424:
| |D#/Eb
| |D#/Eb
|E#/Fb
|E#/Fb
|Eb
|Fb
|1109.9555-1131.9555
|1109.9555-1131.9555
|1112.61-1134.612
|1112.61-1134.612
Line 690: Line 436:
| |E
| |E
|F
|F
|D#
|E#
|1210.861-1234.861
|1210.861-1234.861
|1213.758-1227.758
|1213.758-1227.758
Line 699: Line 447:
| |13
| |13
| |F
| |F
|G
|F
|G
|G
|1311.767-1337.767
|1311.767-1337.767
Line 707: Line 457:
|1349.558-1375.558
|1349.558-1375.558
|}
|}
Aeolian Mode (natural/harmonic minor)
 
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="4" |Degrees
! rowspan="2" |Octatonic
! colspan="2" rowspan="3" |Octatonic
! colspan="2" |Aeolian  
! colspan="4" |Aeolian
! colspan="2" |Intense Aeolian  
! colspan="4" |Intense Aeolian
|-
! colspan="2" |Flattone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="2" |Ultrapyth
|-
! rowspan="2" |Min-Med
! rowspan="2" |Med-Max~Min-Max
! rowspan="2" |Min-Med/Min-Max
! rowspan="2" |Med-Max
! rowspan="2" |Min-Med
! rowspan="2" |Min-Max/Med-Max
! rowspan="2" |Min-Med/Min-Max
! rowspan="2" |Med-Max
|-
|-
!Min-Med/Min-Max±13¢
!Natural
!Med-Max-13c
!Subset of 26edn
!Min-Med/Min-Max±13¢
!Med-Max-13c
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|F#v/Gb^
|105.256-107.256
|105.256-107.256
|105.7715-107.7715
| colspan="2" |105.625-108.015
|106.156-108.156
|107.435-109.435
|107.738-109.738
|107.738-109.738
|108.459-110.459
|108.459-110.459
|108.802-110.802
|-
|-
| |2
| |2
| |G
| colspan="2" |G
|210.511-214.511
|210.511-214.511
|211.543-215.543
| colspan="2" |211.25-216.03
|215.477-219.477
|212.313-216.313
|214.8705-218.8705
|215.4765-219.4765
|216.918-220.918
|216.918-220.918
|217.604-221.604
|-
|-
| |3
| |3
| |G#/Ab
| |G#/Ab
|G#v/Ab^
|315.767-321.767
|315.767-321.767
|317.315-323.315
| colspan="2" |316.875-324.044
|323.215-329.215
|318.469-324.469
|321.306-329.306
|322.215-330.215
|325.377-331.377
|325.377-331.377
|326.4065-332.4065
|-
|-
| |4
| |4
| |A
| colspan="2" |A
|421.022-429.022
|421.022-429.022
|423.086-431.086
| colspan="2" |422.501-432.059
|424.626-432.626
|429.741-437.741
|430.953-438.953
|430.953-438.953
|433.836-437.836
|433.836-437.836
|435.209-443.209
|-
|-
| |5
| |5
| |B
| |B
|A#v/Bb^
|526.278-536.278
|526.278-536.278
|528.858-538.858
| colspan="2" |528.126-540.074
|530.782-540.782
|547.176-547.176
|538.6915-548.6915
|538.6915-548.6915
|542.295-552.295
|542.295-552.295
|544.011-554.011
|-
|-
| |6
| |6
| |B#/Hb
| |B#/Hb
|B
|631.534-643.534
|631.534-643.534
|634.629-646.629
| colspan="2" |633.751-648.089
|636.9385-648.9385
|644.611-656.611
|646.43-658.43
|646.43-658.43
|650.754-666.754
|650.754-666.754
|652.813-664.813
|-
|-
| |7
| |7
| |H
| |H
|Cb
|736.789-750.789
|736.789-750.789
|740.401-754.401
| colspan="2" |739.376-756.104
|743.095-757.095
|752.047-766.047
|754.168-768.168
|754.168-768.168
|759.213-773.213
|759.213-773.213
|761.615-775.615
|-
|-
| |8
| |8
| |C
| |C
|H#
|842.045-858.045
|842.045-858.045
|846.172-862.172
| colspan="2" |845.001-864.1185
|849.251-865.521
|859.482-875.482
|861.906-877.906
|861.906-877.906
|867.672-883.672
|867.672-883.672
|870.417-886.417
|-
|-
| |9
| |9
| |C#/Db
| |C#/Db
|Db
|947.3-965.3
|947.3-965.3
|951.944-969.944
| colspan="2" |950.626-972.133
|958.408-976.408
|966.917-984.917
|969.645-986.645
|969.645-986.645
|976.131-994.131
|976.131-994.131
|979.219-997.219
|-
|-
| |10
| |10
| |D
| |D
|C#
|1052.556-1072.556
|1052.556-1072.556
|1057.715-1077.715
| colspan="2" |1056.2515-1080.148
|1061.564-1081.564
|1074.352-1094.352
|1077.383-1077.383
|1077.383-1077.383
|1084.59-1104.59
|1084.59-1104.59
|1088.022-1108.022
|-
|-
| |11
| |11
| |D#/Eb
| |D#/Eb
|Eb
|1157.8115-1179.8115
|1157.8115-1179.8115
|1163.487-1187.487
| colspan="2" |1161.877-1188.163
|1167.7205-1189.7205
|1181.7875-1203.7875
|1185.121-1207.121
|1185.121-1207.121
|1193.049-1215.049
|1193.049-1215.049
|1196.824-1218.824
|-
|-
| |12
| |12
| |E
| |E
|D#
|1264.067-1287.067
|1264.067-1287.067
|1269.258-1293.258
| colspan="2" |1267.502-1296.178
|1273.877-1298.877
|1288.223-1312.223
|1292.86-1316.86
|1292.86-1316.86
|1301.508-1325.508
|1301.508-1325.508
|1304.626-1328-626
|-
|-
| |13
| |13
| |F
| colspan="2" |F
|1368.322-1394.322
|1368.323-1394.323
|1375.03-1401.03
| colspan="2" |1373.127-1404.193
|1380.033-1406.033
|1396.658-1422.658
|1400.598-1426.598
|1400.598-1426.598
|1409.967-1435.967
|1409.967-1435.967
|1414.428-1440.428
|}
|}
[[Category:13-tone]]
 
[[Category:ed9/4]]
== See also ==
[[Category:edIX]]
[[13ed33/16]] - equal division of the harmonic subminor ninth
[[Category:todo:add_definition]]
 
[[Category:todo:unify_precision]]
[[13ed44/21]] - equal division of the Neogothic minor ninth
 
[[13ed21/10]] - equal division of the septimal chromatic minor ninth
 
[[13ed15/7]] - equal division of the septimal diatonic minor ninth
 
[[13ed11/5]] - equal division of the undecimal neutral ninth
 
[[13ed9/4]] - equal division of the classic major ninth