User:Moremajorthanmajor/13edIX: Difference between revisions

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Line 8: Line 8:
! colspan="6" |Phrygian  
! colspan="6" |Phrygian  
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum-comma
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Maximum
! rowspan="2" |Maximum+comma
! colspan="3" |Thirdtone
! colspan="3" |Thirdtone
! colspan="3" |Semitone
! colspan="3" |Semitone
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
| |1
| |1
| |G#/Ab
| |G#/Ab
|''92.308''
|90-''92.308''
|96.5035
|96.5035
| colspan="2" |96.703
| colspan="2" |94.396-99.011
|97.436-97.582
|97.436-97.582
| colspan="2" |98.4615-98.901
| colspan="2" |96.154-101.209
|99.692-''100''
|99.692-''100''
|101.5385
|101.5385-103.846
|-
|-
| |2
| |2
| |A
| |A
|''184.615''
|180-''184.615''
|193.007
|193.007
| colspan="2" |193.407
| colspan="2" |188.791-198.022
|194.872-195.165
|194.872-195.165
| colspan="2" |196.923-197.805
| colspan="2" |192.308-202.418
|199.385-''200''
|199.385-''200''
|203.077
|203.077-207.692
|-
|-
| |3
| |3
| |A#/Bb
| |A#/Bb
|''276.923''
|270-''276.923''
|289.5105
|289.5105
| colspan="2" |290.11
| colspan="2" |283.187-297.033
|292.308-292.747
|292.308-292.747
| colspan="2" |295.385-296.703
| colspan="2" |288.4615-303.626
|299.077-''300''
|299.077-''300''
|304.615
|304.615-311.5385
|-
|-
| |4
| |4
| |B
| |B
|''369.231''
|360-''369.231''
|386.014
|386.014
| colspan="2" |386.813
| colspan="2" |377.582-396.044
|389.735-390.33
|389.735-390.33
| colspan="2" |393.846-395.604
| colspan="2" |384.615-404.835
|398.769-''400''
|398.769-''400''
|406.154
|406.154-415.385
|-
|-
| |5
| |5
| |C
| |C
|''461.5385''
|450-''461.5385''
|482.5175
|482.5175
| colspan="2" |483.5165
| colspan="2" |471.978-495.055
|487.1795-487.912
|487.1795-487.912
| colspan="2" |492.308-494.5055
| colspan="2" |480.769-506.044
|498.4615-''500''
|498.4615-''500''
|507.692
|507.692-519.231
|-
|-
| |6
| |6
| |C#/Qb
| |C#/Qb
|''553.846''
|540-''553.846''
|579.021
|579.021
| colspan="2" |580.22
| colspan="2" |566.374-594.066
|584.615-585.4945
|584.615-585.4945
| colspan="2" |590.769-593.407
| colspan="2" |576.923-607.253
|598.154-''600''
|598.154-''600''
|609.231
|609.231-623.077
|-
|-
| |7
| |7
| |Q
| |Q
|''646.154''
|630-''646.154''
|675.5245
|675.5245
| colspan="2" |676.923
| colspan="2" |660.769-693.077
|682.051-683.077
|682.051-683.077
| colspan="2" |689.231-692.308
| colspan="2" |673.077-708.4615
|697.846-''700''
|697.846-''700''
|710.769
|710.769-726.923
|-
|-
| |8
| |8
| |D
| |D
|''738.4615''
|720-''738.4615''
|772.0228
|772.0228
| colspan="2" |773.626
| colspan="2" |755.165-792.088
|779.487-780.659
|779.487-780.659
| colspan="2" |787.692-791.209
| colspan="2" |769.231-809.67
|797.5385-''800''
|797.5385-''800''
|812.308
|812.308-830.769
|-
|-
| |9
| |9
| |D#/Eb
| |D#/Eb
|''830.769''
|810-''830.769''
|868.5315
|868.5315
| colspan="2" |870.33
| colspan="2" |849.56-891.099
|876.923-878.242
|876.923-878.242
| colspan="2" |886.154-890.11
| colspan="2" |865.385-910.879
|897.231-''900''
|897.231-''900''
|913.846
|913.846-934.615
|-
|-
| |10
| |10
| |E
| |E
|''923.077''
|900-''923.077''
|965.035
|965.035
| colspan="2" |967.033
| colspan="2" |943.956-990.11
|974.359-975.824
|974.359-975.824
| colspan="2" |984.615-989.011
| colspan="2" |961.5385-1012.088
|996.923-''1000''
|996.923-''1000''
|1015.385
|1015.385-1038.4615
|-
|-
| |11
| |11
| |E#/Fb
| |E#/Fb
|''1015.385''
|990-''1015.385''
|1061.5385
|1061.5385
| colspan="2" |1063.736
| colspan="2" |1038.352-1089.121
|1071.795-1073.407
|1071.795-1073.407
| colspan="2" |1083.077-1087.912
| colspan="2" |1057.615-1113.297
|1096.615-''1100''
|1096.615-''1100''
|1116.923
|1116.923-1142.308
|-
|-
| |12
| |12
| |F
| |F
|''1107.692''
|1080-''1107.692''
|1158.042
|1158.042
| colspan="2" |1160.4395
| colspan="2" |1132.747-1188.132
|1169.231-1170.989
|1169.231-1170.989
| colspan="2" |1081.5385-1186.813
| colspan="2" |1153.846-1214.5055
|1196.308-''1200''
|1196.308-''1200''
|1218.4615
|1218.4615-1246.154
|-
|-
| |13
| |13
| |G
| |G
|''1200''
|1170-''1200''
|1254.5455
|1254.5455
| colspan="2" |1257.143
| colspan="2" |1227.143-1287.143
|1266.667-1268.571
|1266.667-1268.571
| colspan="2" |1280-1285.714
| colspan="2" |1250-1315.714
|1296-''1300''
|1296-''1300''
|1320
|1320-1350
|}
|}


Line 158: Line 158:
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!''r¢''
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|G#/Ab
|G#/Ab
|101.5385
|99.231-101.5385
|102.024
|102.024
| colspan="2" |102.564
| colspan="2" |100.256-104.872
|103.167
|103.167
| colspan="2" |''103.846''
| colspan="2" |101.5385-106.154
|''103.846''
|104.615
|104.615
|105.4945
|105.4945-107.802
|-
|-
| |2
| |2
| |G
| |G
|A
|A
|203.077
|198.4615-203.077
|204.0485
|204.0485
| colspan="2" |205.128
| colspan="2" |200.513-209.744
|206.335
|206.335
| colspan="2" |''207.692''
| colspan="2" |203.077-212.308
|''207.692''
|209.231
|209.231
|210.989
|210.989-215.604
|-
|-
| |3
| |3
| |G#/Ab
| |G#/Ab
|A#/Bb
|A#/Bb
|304.615
|297.692-304.615
|306.073
|306.073
| colspan="2" |307.692
| colspan="2" |300.769-314.615
|309.502
|309.502
| colspan="2" |''311.5385''
| colspan="2" |304.615-318.4615
|''311.5385''
|313.846
|313.846
|316.4835
|316.4835-323.407
|-
|-
| |4
| |4
| |A
| |A
|B
|B
|406.154
|396.923-406.154
|408.097
|408.097
| colspan="2" |410.256
| colspan="2" |401.026-419.487
|412.67
|412.67
| colspan="2" |''415.385''
| colspan="2" |406.154-424.615
|''415.385''
|418.4615
|418.4615
|421.978
|421.978-431.209
|-
|-
| |5
| |5
| |B
| |B
|C
|C
|507.692
|496.154-507.692
|510.1215
|510.1215
| colspan="2" |512.8205
| colspan="2" |501.282-524.359
|515.837
|515.837
| colspan="2" |''519.231''
| colspan="2" |507.692-530.769
|''519.231''
|523.077
|523.077
|527.4725
|527.4725-539.011
|-
|-
| |6
| |6
| |B#/Hb
| |B#/Hb
|C#/Qb
|C#/Qb
|609.231
|595.385-609.231
|612.146
|612.146
| colspan="2" |615.384
| colspan="2" |601.5385-629.231
|619.0045
|619.0045
| colspan="2" |''623.077''
| colspan="2" |609.231-636.923
|''623.077''
|627.692
|627.692
|632.967
|632.967-646.813
|-
|-
| |7
| |7
| |H
| |H
|Q
|Q
|710.769
|694.615-710.769
|714.17
|714.17
| colspan="2" |717.945
| colspan="2" |701.795-734.103
|722.172
|722.172
| colspan="2" |''736.923''
| colspan="2" |710.769-743.077
|''726.923''
|732.308
|732.308
|738.4615
|738.4615-754.615
|-
|-
| |8
| |8
| |C
| |C
|D
|D
|812.308
|793.846-812.308
|816.194
|816.194
| colspan="2" |820.513
| colspan="2" |802.051-838.974
|825.339
|825.339
| colspan="2" |''830.769''
| colspan="2" |812.308-849.231
|''830.769''
|836.923
|836.923
|843.856
|843.856-862.418
|-
|-
| |9
| |9
| |C#/Db
| |C#/Db
|D#/Eb
|D#/Eb
|913.846
|893.077-913.846
|918.219
|918.219
| colspan="2" |923.077
| colspan="2" |902.308-943.846
|929.507
|929.507
| colspan="2" |''934.615''
| colspan="2" |913.846-955.385
|''934.615''
|941.5385
|941.5385
|949.4505
|949.4505-970.22
|-
|-
| |10
| |10
| |D
| |D
|E
|E
|1015.385
|992.308-1015.385
|1020.243
|1020.243
| colspan="2" |1025.641
| colspan="2" |1002.564-1048.718
|1031.674
|1031.674
| colspan="2" |''1038.4165''
| colspan="2" |1015.385-1061.5385
|''1038.4615''
|1046.154
|1046.154
|1054.945
|1054.945-1078.022
|-
|-
| |11
| |11
| |D#/Eb
| |D#/Eb
|E#/Fb
|E#/Fb
|1116.923
|1091.5385-1116.923
|1123.267
|1123.267
| colspan="2" |1128.205
| colspan="2" |1102.8205-1153.59
|1134.842
|1134.842
| colspan="2" |''1142.308''
| colspan="2" |1116.923-1167.692
|''1142.308''
|1150.769
|1150.769
|1160.44
|1160.44-1185.824
|-
|-
| |12
| |12
| |E
| |E
|F
|F
|1218.4615
|1190.769-1218.4615
|1224.291
|1224.291
| colspan="2" |1230.769
| colspan="2" |1203.077-1258.4615
|1238.009
|1238.009
| colspan="2" |''1246.154''
| colspan="2" |1218.4615-1273.846
|''1246.154''
|1255.385
|1255.385
|1265.935
|1265.935-1293.626
|-
|-
| |13
| |13
| |F
| |F
|G
|G
|1320
|1290-1320
|1326.316
|1326.316
| colspan="2" |1333.333
| colspan="2" |1303.333-1363.333
|1341.1765
|1341.1765
| colspan="2" |''1350''
| colspan="2" |1320-1380
|''1350''
|1360
|1360
|1371.429
|1371.429-1401.429
|}
|}


Line 317: Line 331:
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! rowspan="3" |Octatonic
! colspan="8" |Aeolian  
! colspan="6" |Aeolian  
! colspan="8" |Intense Aeolian  
! colspan="8" |Intense Aeolian  
|-
|-
! colspan="4" |Flattone
! colspan="3" |Flattone
! colspan="4" |Meantone
! colspan="3" |Meantone
! colspan="4" |Superpyth
! colspan="5" |Superpyth
! colspan="4" |Ultrapyth
! colspan="3" |Ultrapyth
|-
|-
!Minimum
!Minimum-comma
!Min-Med/Min-Max
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Med-Max±13¢
!Maximum+comma
!Maximum
!Minimum-comma
!Minimum
! colspan="2" |''r¢''
!Median
!Median
!Min-Med/Min-Max
!Maximum+comma
!Maximum
!Minimum-comma
!Minimum
!Median
!Median
!Med-Max±13¢
!Maximum+comma
!Maximum
|-
|-
| |1
| |1
| |F#/Gb
| |F#/Gb
|105.4945
|103.187-105.4945
|105.256-107.256
|106.509
|106.509
| colspan="2" |106.883
| colspan="2" |104.575-109.19
|107.077
|107.077
|105.7715-107.7715
| colspan="2" |105.385-110
| colspan="2" |''107.692''
| colspan="2" |''107.692''
|108.597
|108.597
|107.738-109.738
| colspan="2" |106.783-111.399
| colspan="2" |109.091
|109.615
|109.615
|108.459-110.459
|110.769-113.077
|110.769
|-
|-
| |2
| |2
| |G
| |G
|210.989
|206.374-210.989
|210.511-214.511
|213.018
|213.018
| colspan="2" |213.765
| colspan="2" |209.15-218.381
|214.154
|214.154
|211.543-215.543
| colspan="2" |210.769-220
| colspan="2" |''215.385''
| colspan="2" |''215.385''
|217.1945
|217.1945
|215.477-219.477
| colspan="2" |213.566-222.797
| colspan="2" |218.182
|219.231
|219.231
|216.918-220.918
|221.5385-226.154
|221.5385
|-
|-
| |3
| |3
| |G#/Ab
| |G#/Ab
|316.4835
|309.56-316.4835
|315.767-321.767
|319.527
|319.527
| colspan="2" |320.647
| colspan="2" |313.725-327.571
|321.231
|321.231
|317.315-323.315
| colspan="2" |316.154-330
| colspan="2" |''323.077''
| colspan="2" |''323.077''
|325.792
|325.792
|323.215-329.215
| colspan="2" |320.35-334.196
| colspan="2" |327.273
|328.846
|328.846
|325.377-331.377
|332.308-339.231
|332.308
|-
|-
| |4
| |4
| |A
| |A
|421.978
|412.747-421.978
|421.022-429.022
|426.036
|426.036
| colspan="2" |427.53
| colspan="2" |418.3-436.761
|428.308
|428.308
|423.086-431.086
| colspan="2" |421.5385-440
| colspan="2" |''430.769''
| colspan="2" |''430.769''
|434.389
|434.389
|430.953-438.953
| colspan="2" |427.133-445.594
| colspan="2" |436.364
|438.4615
|438.4615
|433.836-437.836
|443.077-452.308
|443.076
|-
|-
| |5
| |5
| |B
| |B
|527.4725
|515.934-527.4725
|526.278-536.278
|532.544
|532.544
| colspan="2" |534.413
| colspan="2" |522.8745-545.951
|535.385
|535.385
|528.858-538.858
| colspan="2" |526.923-550
| colspan="2" |''538.4615''
| colspan="2" |''538.4615''
|542.986
|542.986
|538.6915-548.6915
| colspan="2" |533.916-556.993
| colspan="2" |545.4545
|548.077
|548.077
|542.295-552.295
|553.846-565.385
|553.846
|-
|-
| |6
| |6
| |B#/Hb
| |B#/Hb
|632.967
|619.121-632.967
|631.534-643.534
|639.053
|639.053
| colspan="2" |641.2955
| colspan="2" |627.449-655.142
|642.4615
|642.4615
|634.629-646.629
| colspan="2" |632.308-660
| colspan="2" |''646.154''
| colspan="2" |''646.154''
|651.584
|651.584
|646.43-658.43
| colspan="2" |640.699-668.392
| colspan="2" |654.5455
|657.692
|657.692
|650.754-666.754
|664.615-678.4615
|664.615
|-
|-
| |7
| |7
| |H
| |H
|738.4615
|722.308-738.4615
|736.789-750.789
|745.562
|745.562
| colspan="2" |748.178
| colspan="2" |732.024-764.332
|749.5385
|749.5385
|740.401-754.401
| colspan="2" |737.692-770
| colspan="2" |''754.846''
| colspan="2" |''754.846''
|760.181
|760.181
|754.168-768.168
| colspan="2" |747.4825-779.79
| colspan="2" |763.636
|767.308
|767.308
|759.213-773.213
|775.385-791.5385
|775.385
|-
|-
| |8
| |8
| |C
| |C
|843.856
|825.4945-843.856
|842.045-858.045
|853.071
|853.071
| colspan="2" |855.061
| colspan="2" |836.599-873.522
|856.615
|856.615
|846.172-862.172
| colspan="2" |843.077-880
| colspan="2" |''861.5385''
| colspan="2" |''861.5385''
|868.778
|868.778
|861.906-877.906
| colspan="2" |854.266-891.189
| colspan="2" |872.727
|876.923
|876.923
|867.672-883.672
|886.154-904.615
|886.154
|-
|-
| |9
| |9
| |C#/Db
| |C#/Db
|949.4505
|928.681-949.4505
|947.3-965.3
|958.58
|958.58
| colspan="2" |961.943
| colspan="2" |941.174-982.7125
|963.692
|963.692
|951.944-969.944
| colspan="2" |948.4615-990
| colspan="2" |''969.231''
| colspan="2" |''969.231''
|977.376
|977.376
|969.645-986.645
| colspan="2" |961.049-1002.587
| colspan="2" |981.818
|986.5385
|986.5385
|976.131-994.131
|996.923-1017.692
|996.923
|-
|-
| |10
| |10
| |D
| |D
|1054.945
|1031.868-1054.945
|1052.556-1072.556
|1065.089
|1065.089
| colspan="2" |1068.826
| colspan="2" |1045.749-1091.903
|1070.769
|1070.769
|1057.715-1077.715
| colspan="2" |1053.846-1100
| colspan="2" |''1076.923''
| colspan="2" |''1076.923''
|1085.973
|1085.973
|1077.383-1077.383
| colspan="2" |1067.832-1113.986
| colspan="2" |1090.909
|1096.154
|1096.154
|1084.59-1104.59
|1107.692-1130.769
|1107.692
|-
|-
| |11
| |11
| |D#/Eb
| |D#/Eb
|1160.44
|1135.055-1160.44
|1157.8115-1179.8115
|1171.598
|1171.598
| colspan="2" |1175.7085
| colspan="2" |1150.324-1201.093
|1177.846
|1177.846
|1163.487-1187.487
| colspan="2" |1159.231-1210
| colspan="2" |''1184.615''
| colspan="2" |''1184.615''
|1194.57
|1194.57
|1185.121-1207.121
| colspan="2" |1174.615-1225.4615
| colspan="2" |1200
|1205.769
|1205.769
|1193.049-1215.049
|1218.4615-1243.846
|1218.4615
|-
|-
| |12
| |12
| |E
| |E
|1265.9344
|1238.242-1265.934
|1264.067-1287.067
|1278.1065
|1278.1065
| colspan="2" |18=282.591
| colspan="2" |1254.899-1310.283
|1284.923
|1284.923
|1269.258-1293.258
| colspan="2" |1264.615-1320
| colspan="2" |''1292.308''
| colspan="2" |''1292.308''
|1303.167
|1303.167
|1292.86-1316.86
| colspan="2" |1281.399-1336.783
| colspan="2" |1309.094
|1315.385
|1315.385
|1301.508-1325.508
|1329.231-1356.923
|1329.231
|-
|-
| |13
| |13
| |F
| |F
|1371.429
|1341.429-1371.429
|1368.322-1394.322
|1384.615
|1384.615
| colspan="2" |1389.474
| colspan="2" |1359.474-1419.474
|1392
|1392
|1375.03-1401.03
| colspan="2" |1370-1430
| colspan="2" |''1400''
| colspan="2" |''1400''
|1411.765
|1411.765
|1400.598-1426.598
| colspan="2" |1388.182-1448.182
| colspan="2" |1418.182
|1425
|1425
|1409.967-1435.967
|1440-1470
|1440
|}
|}
Golden/Pyrite Tunings±13¢
Golden/Pyrite Tunings±13¢

Revision as of 03:25, 29 May 2019

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.

Intervals

Degrees Octatonic Soft Phrygian Phrygian
Minimum-comma Median Maximum+comma Thirdtone Semitone
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 G#/Ab 90-92.308 96.5035 94.396-99.011 97.436-97.582 96.154-101.209 99.692-100 101.5385-103.846
2 A 180-184.615 193.007 188.791-198.022 194.872-195.165 192.308-202.418 199.385-200 203.077-207.692
3 A#/Bb 270-276.923 289.5105 283.187-297.033 292.308-292.747 288.4615-303.626 299.077-300 304.615-311.5385
4 B 360-369.231 386.014 377.582-396.044 389.735-390.33 384.615-404.835 398.769-400 406.154-415.385
5 C 450-461.5385 482.5175 471.978-495.055 487.1795-487.912 480.769-506.044 498.4615-500 507.692-519.231
6 C#/Qb 540-553.846 579.021 566.374-594.066 584.615-585.4945 576.923-607.253 598.154-600 609.231-623.077
7 Q 630-646.154 675.5245 660.769-693.077 682.051-683.077 673.077-708.4615 697.846-700 710.769-726.923
8 D 720-738.4615 772.0228 755.165-792.088 779.487-780.659 769.231-809.67 797.5385-800 812.308-830.769
9 D#/Eb 810-830.769 868.5315 849.56-891.099 876.923-878.242 865.385-910.879 897.231-900 913.846-934.615
10 E 900-923.077 965.035 943.956-990.11 974.359-975.824 961.5385-1012.088 996.923-1000 1015.385-1038.4615
11 E#/Fb 990-1015.385 1061.5385 1038.352-1089.121 1071.795-1073.407 1057.615-1113.297 1096.615-1100 1116.923-1142.308
12 F 1080-1107.692 1158.042 1132.747-1188.132 1169.231-1170.989 1153.846-1214.5055 1196.308-1200 1218.4615-1246.154
13 G 1170-1200 1254.5455 1227.143-1287.143 1266.667-1268.571 1250-1315.714 1296-1300 1320-1350
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma r¢ Median Maximum+comma
1 F#/Gb G#/Ab 99.231-101.5385 102.024 100.256-104.872 103.167 101.5385-106.154 103.846 104.615 105.4945-107.802
2 G A 198.4615-203.077 204.0485 200.513-209.744 206.335 203.077-212.308 207.692 209.231 210.989-215.604
3 G#/Ab A#/Bb 297.692-304.615 306.073 300.769-314.615 309.502 304.615-318.4615 311.5385 313.846 316.4835-323.407
4 A B 396.923-406.154 408.097 401.026-419.487 412.67 406.154-424.615 415.385 418.4615 421.978-431.209
5 B C 496.154-507.692 510.1215 501.282-524.359 515.837 507.692-530.769 519.231 523.077 527.4725-539.011
6 B#/Hb C#/Qb 595.385-609.231 612.146 601.5385-629.231 619.0045 609.231-636.923 623.077 627.692 632.967-646.813
7 H Q 694.615-710.769 714.17 701.795-734.103 722.172 710.769-743.077 726.923 732.308 738.4615-754.615
8 C D 793.846-812.308 816.194 802.051-838.974 825.339 812.308-849.231 830.769 836.923 843.856-862.418
9 C#/Db D#/Eb 893.077-913.846 918.219 902.308-943.846 929.507 913.846-955.385 934.615 941.5385 949.4505-970.22
10 D E 992.308-1015.385 1020.243 1002.564-1048.718 1031.674 1015.385-1061.5385 1038.4615 1046.154 1054.945-1078.022
11 D#/Eb E#/Fb 1091.5385-1116.923 1123.267 1102.8205-1153.59 1134.842 1116.923-1167.692 1142.308 1150.769 1160.44-1185.824
12 E F 1190.769-1218.4615 1224.291 1203.077-1258.4615 1238.009 1218.4615-1273.846 1246.154 1255.385 1265.935-1293.626
13 F G 1290-1320 1326.316 1303.333-1363.333 1341.1765 1320-1380 1350 1360 1371.429-1401.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma r¢ Median Maximum+comma Minimum-comma Median Maximum+comma
1 F#/Gb 103.187-105.4945 106.509 104.575-109.19 107.077 105.385-110 107.692 108.597 106.783-111.399 109.615 110.769-113.077
2 G 206.374-210.989 213.018 209.15-218.381 214.154 210.769-220 215.385 217.1945 213.566-222.797 219.231 221.5385-226.154
3 G#/Ab 309.56-316.4835 319.527 313.725-327.571 321.231 316.154-330 323.077 325.792 320.35-334.196 328.846 332.308-339.231
4 A 412.747-421.978 426.036 418.3-436.761 428.308 421.5385-440 430.769 434.389 427.133-445.594 438.4615 443.077-452.308
5 B 515.934-527.4725 532.544 522.8745-545.951 535.385 526.923-550 538.4615 542.986 533.916-556.993 548.077 553.846-565.385
6 B#/Hb 619.121-632.967 639.053 627.449-655.142 642.4615 632.308-660 646.154 651.584 640.699-668.392 657.692 664.615-678.4615
7 H 722.308-738.4615 745.562 732.024-764.332 749.5385 737.692-770 754.846 760.181 747.4825-779.79 767.308 775.385-791.5385
8 C 825.4945-843.856 853.071 836.599-873.522 856.615 843.077-880 861.5385 868.778 854.266-891.189 876.923 886.154-904.615
9 C#/Db 928.681-949.4505 958.58 941.174-982.7125 963.692 948.4615-990 969.231 977.376 961.049-1002.587 986.5385 996.923-1017.692
10 D 1031.868-1054.945 1065.089 1045.749-1091.903 1070.769 1053.846-1100 1076.923 1085.973 1067.832-1113.986 1096.154 1107.692-1130.769
11 D#/Eb 1135.055-1160.44 1171.598 1150.324-1201.093 1177.846 1159.231-1210 1184.615 1194.57 1174.615-1225.4615 1205.769 1218.4615-1243.846
12 E 1238.242-1265.934 1278.1065 1254.899-1310.283 1284.923 1264.615-1320 1292.308 1303.167 1281.399-1336.783 1315.385 1329.231-1356.923
13 F 1341.429-1371.429 1384.615 1359.474-1419.474 1392 1370-1430 1400 1411.765 1388.182-1448.182 1425 1440-1470

Golden/Pyrite Tunings±13¢

Degrees Octatonic Soft Phrygian Phrygian
Min-Med Min-Max/Med-Max Thirdtone Semitone
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
1 G#/Ab 95.389-97.389 95.578-97.578 95.957-98.345 96.785-98.844 98.359-100.709 99.058-101.523
2 A 190.778-194.778 191.155-195.155 191.914-196.689 193.569-197.688 196.719-201.417 198.1165-203.046
3 A#/Bb 286.1665-292.1665 286.733-292.733 287.871-295.034 290.354-296.531 295.078-302.126 297.175-304.569
4 B 381.555-389.555 382.3105-390.3105 383.828-393.378 387.138-395.375 393.4375-402.835 396.233-406.092
5 C 476.944-486.944 477.888-487.888 479.785-491.723 483.923-494.219 491.797-503.544 495.291-507.615
6 C#/Qb 572.333-584.333 573.466-585.466 575.742-590.068 580.707-593.063 590.156-604.253 594.349-609.138
7 Q 667.722-681.722 669.043-683.043 671.699-688.412 677.492-691.907 688.516-704.962 693.408-710.661
8 D 763.111-781.111 764.621-780.621 767.656-786.757 774.2765-790.75 786.875-805.67 792.466-812.184
9 D#/Eb 858.5-876.5 860.199-878.199 863.613-885.1015 871.061-889.594 885.234-906.379 891.524-913.707
10 E 953.8885-973.8885 955.776-975.776 959.57-983.446 967.846-988.438 983.594-1007.088 990.582-1015.23
11 E#/Fb 1049.277-1071.277 1051.354-1073.354 1055.527-1081.791 1064.63-1087.282 1081.953-1107.797 1089.641-1116.75
12 F 1144.666-1168.666 1146.932-1170.932 1151.484-1180.135 1161.415-1186.126 1180.312-1208.506 1188.699-1218.276
13 G 1240.055-1266.055 1242.506-1268.509 1247.441-1278.48 1258.199-1284.969 1278.672-1309.2145 1287.757-1319.799
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max Med-Max Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum
1 F#/Gb G#/Ab 100.905-102.905 101.1465-103.1465 102.019-104.019 103.167 102.32-104.32 103.846 103.425-105.425 104.615 103.812-105.812 105.4945
2 G A 201.81-205.81 202.293-206.293 204.037-208.037 206.335 204.641-208.641 207.692 206.849-210.849 209.231 207.624-211.624 210.989
3 G#/Ab A#/Bb 302.715-308.715 303.44-309.44 306.056-312.056 309.502 306.961-312.961 311.5385 310.274-316.274 313.846 311.4365-317.4365 316.4835
4 A B 403.62-411.62 404.586-412.586 408.075-416.075 412.67 409.281-417.281 415.385 413.699-421.699 418.4615 415.249-423.249 421.978
5 B C 504.525-514.525 505.733-515.733 510.093-520.093 515.837 511.602-521.602 519.231 517.123-527.123 523.077 519.061-529.061 527.4725
6 B#/Hb C#/Qb 605.43-617.43 606.879-618.879 612.112-624.112 619.0045 613.922-625.922 623.077 620.548-632.548 627.692 622.873-634.873 632.967
7 H Q 706.335-720.335 708.026-722.026 714.131-728.131 722.172 716.242-730.242 736.923 723.973-737.973 732.308 726.685-740.685 738.4615
8 C D 807.24-823.24 809.172-825.172 816.1495-832.1495 825.339 818.563-834.563 830.769 827.3975-843.3975 836.923 830.497-846.497 843.856
9 C#/Db D#/Eb 908.145-926.145 910.319-928.319 918.168-936.168 929.507 920.883-938.883 934.615 930.822-948.822 941.5385 934.309-952.309 949.4505
10 D E 1009.0505-1029.0505 1011.465-1031.465 1020.186-1040.186 1031.674 1023.2035-1043.2035 1038.4165 1034.247-1054.2547 1046.154 1038.122-1058.122 1054.945
11 D#/Eb E#/Fb 1109.9555-1131.9555 1112.61-1134.612 1122.2055-1143.2055 1134.842 1125.524-1147.524 1142.308 1137.672-1159.672 1150.769 1141.934-1163.934 1160.44
12 E F 1210.861-1234.861 1213.758-1227.758 1224.224-1248.224 1238.009 1225.844-1249.884 1246.154 1241.096-1265.096 1255.385 1245.746-1269.746 1265.935
13 F G 1311.767-1337.767 1314.905-1340.905 1326.243-1352.243 1341.1765 1343.1645-1396.1645 1350 1344.521-1370.521 1360 1349.558-1375.558 1371.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Min-Med Med-Max~Min-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med/Min-Max Med-Max
1 F#/Gb 105.256-107.256 105.625-108.015 106.156-108.156 107.435-109.435 107.738-109.738 108.459-110.459 108.802-110.802
2 G 210.511-214.511 211.25-216.03 212.313-216.313 214.8705-218.8705 215.4765-219.4765 216.918-220.918 217.604-221.604
3 G#/Ab 315.767-321.767 316.875-324.044 318.469-324.469 321.306-329.306 322.215-330.215 325.377-331.377 326.4065-332.4065
4 A 421.022-429.022 422.501-432.059 424.626-432.626 429.741-437.741 430.953-438.953 433.836-437.836 435.209-443.209
5 B 526.278-536.278 528.126-540.074 530.782-540.782 547.176-547.176 538.6915-548.6915 542.295-552.295 544.011-554.011
6 B#/Hb 631.534-643.534 633.751-648.089 636.9385-648.9385 644.611-656.611 646.43-658.43 650.754-666.754 652.813-664.813
7 H 736.789-750.789 739.376-756.104 743.095-757.095 752.047-766.047 754.168-768.168 759.213-773.213 761.615-775.615
8 C 842.045-858.045 845.001-864.1185 849.251-865.521 859.482-875.482 861.906-877.906 867.672-883.672 870.417-886.417
9 C#/Db 947.3-965.3 950.626-972.133 958.408-976.408 966.917-984.917 969.645-986.645 976.131-994.131 979.219-997.219
10 D 1052.556-1072.556 1056.2515-1080.148 1061.564-1081.564 1074.352-1094.352 1077.383-1077.383 1084.59-1104.59 1088.022-1108.022
11 D#/Eb 1157.8115-1179.8115 1161.877-1188.163 1167.7205-1189.7205 1181.7875-1203.7875 1185.121-1207.121 1193.049-1215.049 1196.824-1218.824
12 E 1264.067-1287.067 1267.502-1296.178 1273.877-1298.877 1288.223-1312.223 1292.86-1316.86 1301.508-1325.508 1304.626-1328-626
13 F 1368.323-1394.323 1373.127-1404.193 1380.033-1406.033 1396.658-1422.658 1400.598-1426.598 1409.967-1435.967 1414.428-1440.428
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