User:Moremajorthanmajor/14edIX: Difference between revisions

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|1
|1
|G#/Ab
|G#/Ab
|83.571-''85.714''
|82.857-''85.714''
|89.61
|89.61
| colspan="2" |87.653-91.939
| colspan="2" |86.939-92.653
|90.476-90.612
|90.476-90.612
| colspan="2" |91.429-91.837
| colspan="2" |88.571-94.694
|92.571-''92.857''
|92.571-''92.857''
|94.286-96.429
|94.286-97.143
|-
|-
|2
|2
|A
|A
|167.143-''171.429''
|165.714-''171.429''
|179.221
|179.221
| colspan="2" |175.306-183.878
| colspan="2" |173.878-185.306
|180.952-181.2245
|180.952-181.2245
| colspan="2" |182.857-183.6735
| colspan="2" |177.143-189.388
|185.143-''185.714''
|185.143-''185.714''
|188.571-192.857
|188.571-194.286
|-
|-
|3
|3
|A#/Bb
|A#/Bb
|250.714-''257.143''
|248.571-''257.143''
|268.831
|268.831
| colspan="2" |262.959-275.816
| colspan="2" |260.816-277.959
|271.429-271.837
|271.429-271.837
| colspan="2" |274.286-275.51
| colspan="2" |265.714-284.082
|277.714-''278.571''
|277.714-''278.571''
|282.857-289.286
|282.857-291.429
|-
|-
|4
|4
|B
|B
|334.286-''342.857''
|331.429-''342.857''
|358.442
|358.442
| colspan="2" |350.612-367.755
| colspan="2" |357.755-370.612
|361.905-362.449
|361.905-362.449
| colspan="2" |365.714-367.347
| colspan="2" |354.286-378.7755
|370.286-''371.429''
|370.286-''371.429''
|377.143-385.714
|377.143-388.571
|-
|-
|5
|5
|B#/Cb
|B#/Cb
|417.857-''428.571''
|414.286-''428.571''
|448.052
|448.052
| colspan="2" |438.265-459.694
| colspan="2" |434.694-463.265
|452.381-453.061
|452.381-453.061
| colspan="2" |457.143-459.184
| colspan="2" |442.857-473.436
|462.857-''464.286''
|462.857-''464.286''
|471.429-482.143
|471.429-485.714
|-
|-
|6
|6
|C
|C
|501.429-''514.286''
|497.143-''514.286''
|537.662
|537.662
| colspan="2" |525.918-551.633
| colspan="2" |521.633-555.918
|542.857-543.6735
|542.857-543.6735
| colspan="2" |548.571-551.02
| colspan="2" |531.429-568.163
|555.429-''557.143''
|555.429-''557.143''
|565.714-578.571
|565.714-582.857
|-
|-
|7
|7
|Q
|Q
|585-''600''
|580-''600''
|627.273
|627.273
| colspan="2" |613.571-643.571
| colspan="2" |608.571-648.571
|633.333-634.286
|633.333-634.286
| colspan="2" |640-642.857
| colspan="2" |620-662.857
|648-''650''
|648-''650''
|660-675
|660-680
|-
|-
|8
|8
|Q#/Db
|Q#/Db
|668.571-''685.714''
|662.857-''685.714''
|716.883
|716.883
| colspan="2" |701.2245-735.51
| colspan="2" |695.51-741.2245
|723.8095-724.898
|723.8095-724.898
| colspan="2" |731.429-734.694
| colspan="2" |708.571-757.551
|740.571-''742.857''
|740.571-''742.857''
|754.286-771.429
|754.286-777.143
|-
|-
|9
|9
|D
|D
|752.143-''771.429''
|745.714-''771.429''
|806.4935
|806.4935
| colspan="2" |788.878-827.449
| colspan="2" |782.449-833.878
|814.286-815.510
|814.286-815.510
| colspan="2" |822.857-826.531
| colspan="2" |797.143-852.245
|833.143-''835.714''
|833.143-''835.714''
|848.571-867.857
|848.571-874.286
|-
|-
|10
|10
|D#/Eb
|D#/Eb
|835.714-''857.143''
|828.571-''857.143''
|896.103
|896.103
| colspan="2" |876.531-919.388
| colspan="2" |869.388-926.531
|904.762-906.1225
|904.762-906.1225
| colspan="2" |914.286-918.367
| colspan="2" |885.714-946.938
|925.714-''928.571''
|925.714-''928.571''
|942.857-964.286
|942.857-971.429
|-
|-
|11
|11
|E
|E
|919.286-''942.857''
|911.429-''942.857''
|985.714
|985.714
| colspan="2" |964.184-1011.327
| colspan="2" |956.327-1019.184
|995.238-996.735
|995.238-996.735
| colspan="2" |1005.714-1010.204
| colspan="2" |974.286-1041.633
|1018.286-''1021.429''
|1018.286-''1021.429''
|1037.143-1060.714
|1037.143-1068.571
|-
|-
|12
|12
|E#/Fb
|E#/Fb
|1002.857-''1028.571''
|994.286-''1028.571''
|1075.325
|1075.325
| colspan="2" |1051.837-1103.266
| colspan="2" |1043.266-1111.837
|1085.714-1087.347
|1085.714-1087.347
| colspan="2" |1097.143-1102.041
| colspan="2" |1062.857-1136.3265
|1110.857-''1114.286''
|1110.857-''1114.286''
|1131.429-1157.143
|1131.429-1165.714
|-
|-
|13
|13
|F
|F
|1086.429-''1114.286''
|1077.143-''1114.286''
|1164.935
|1164.935
| colspan="2" |1139.49-1195.204
| colspan="2" |1130.204-1204.49
|1176.1905-1177.959
|1176.1905-1177.959
| colspan="2" |1188.571-1193.878
| colspan="2" |1151.429-1231.02
|1203.429-''1207.143''
|1203.429-''1207.143''
|1225.714-1253.571
|1225.714-1262.857
|-
|-
|14
|14
|G
|G
|1170-''1200''
|1160-''1200''
|1254.5455
|1254.5455
| colspan="2" |1227.143-1287.143
| colspan="2" |1217.143-1297.143
|1266.667-1268.571
|1266.667-1268.571
| colspan="2" |1250-1315.714
| colspan="2" |1240-1325.714
|1296-''1300''
|1296-''1300''
|1320-1350
|1320-1360
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 183: Line 183:
|F#/Gb
|F#/Gb
|G#/Ab
|G#/Ab
|92.143-94.286
|91.429-94.286
|94.737
|94.737
| colspan="2" |93.095-97.381
| colspan="2" |92.381-98.095
|95.798
|95.798
| colspan="2" |94.286-98.571
| colspan="2" |93.571-99.286
|''96.429''
|''96.429''
|97.143
|97.143
|97.959-100.102
|97.959-100.816
|-
|-
|2
|2
|G
|G
|A
|A
|184.286-188.571
|183.857-188.571
|189.473
|189.473
| colspan="2" |186.1905-194.762
| colspan="2" |184.762-196.1905
|191.597
|191.597
| colspan="2" |188.571-197.143
| colspan="2" |187.143-198.571
|''192.857''
|''192.857''
|194.286
|194.286
|195.918-200.204
|195.918-201.633
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|A#/Bb
|A#/Bb
|276.429-282.857
|274.286-282.857
|284.2105
|284.2105
| colspan="2" |279.286-292.143
| colspan="2" |277.143-294.286
|287.395
|287.395
| colspan="2" |282.857-295.714
| colspan="2" |280.714-297.857
|''289.286''
|''289.286''
|291.429
|291.429
|293.878-300.306
|293.878-301.449
|-
|-
|4
|4
|A
|A
|B
|B
|368.571-377.143
|363.714-377.143
|378.947
|378.947
| colspan="2" |372.381-389.524
| colspan="2" |369.524-392.381
|383.193
|383.193
| colspan="2" |377.143-394.286
| colspan="2" |374.286-397.143
|''385.714''
|''385.714''
|388.571
|388.571
|391.836-400.408
|391.836-403.265
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|B#/Cb
|B#/Cb
|460.714-471.429
|455.143-471.429
|473.684
|473.684
| colspan="2" |465.476-486.905
| colspan="2" |461.905-490.476
|478.992
|478.992
| colspan="2" |471.429-492.857
| colspan="2" |467.857-496.429
|''482.143''
|''482.143''
|485.714
|485.714
|489.796-500.51
|489.796-504.082
|-
|-
|6
|6
|B
|B
|C
|C
|552.857-565.714
|546.571-565.714
|568.421
|568.421
| colspan="2" |558.571-584.286
| colspan="2" |554.286-588.571
|574.79
|574.79
| colspan="2" |565.714-591.429
| colspan="2" |561.429-595.714
|''578.571''
|''578.571''
|582.857
|582.857
|587.755-600.612
|587.755-604.898
|-
|-
|7
|7
|H
|H
|Q
|Q
|645-660
|640-660
|663.158
|663.158
| colspan="2" |651.667-681.667
| colspan="2" |646.667-686.667
|670.588
|670.588
| colspan="2" |660-690
| colspan="2" |655-695
|''675''
|''675''
|680
|680
|685.714-700.714
|685.714-705.714
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|Q#/Db
|Q#/Db
|737.143-754.286
|731.429-754.286
|757.894
|757.894
| colspan="2" |744.762-779.048
| colspan="2" |739.048-784.762
|766.387
|766.387
| colspan="2" |754.286-788.571
| colspan="2" |748.571-794.286
|''771.429''
|''771.429''
|777.143
|777.143
|783.6735-800.806
|783.6735-806.531
|-
|-
|9
|9
|C
|C
|D
|D
|829.286-848.571
|823.857-848.571
|853.632
|853.632
| colspan="2" |837.857-876.429
| colspan="2" |831.429-882.857
|862.185
|862.185
| colspan="2" |848.571-887.143
| colspan="2" |842.143-893.571
|''867.857''
|''867.857''
|874.286
|874.286
|881.633-900.918
|881.633-907.347
|-
|-
|10
|10
|C#/Db
|C#/Db
|D#/Eb
|D#/Eb
|921.429-942.857
|914.286-942.857
|947.368
|947.368
| colspan="2" |930.952-973.8095
| colspan="2" |923.8095-980.952
|957.983
|957.983
| colspan="2" |942.857-985.714
| colspan="2" |935.714-992.857
|''964.286''
|''964.286''
|971.429
|971.429
|979.592-1001.02
|979.592-1008.163
|-
|-
|11
|11
|D
|D
|E
|E
|1013.571-1037.143
|1003.714-1037.143
|1042.105
|1042.105
| colspan="2" |1024.048-1071.1905
| colspan="2" |1016.1905-1079.048
|1053.7815
|1053.7815
| colspan="2" |1037.143-1084.286
| colspan="2" |1029.286-1092.143
|''1060.714''
|''1060.714''
|1068.571
|1068.571
|1077.551-1101.1225
|1077.551-1108.98
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|E#/Fb
|E#/Fb
|1105.714-1131.429
|1095.143-1131.429
|1136.842
|1136.842
| colspan="2" |1117.143-1168.429
| colspan="2" |1108.429-1177.143
|1149.58
|1149.58
| colspan="2" |1131.429-1182.857
| colspan="2" |1122.857-1191.429
|''1157.143''
|''1157.143''
|1165.714
|1165.714
|1175.51-1201.2245
|1175.51-1209.796
|-
|-
|13
|13
|E
|E
|F
|F
|1197.857-1225.714
|1186.571-1225.714
|1231.579
|1231.579
| colspan="2" |1210.238-1265.952
| colspan="2" |1200.952-1275.238
|1245.378
|1245.378
| colspan="2" |1225.714-1281.429
| colspan="2" |1216.429-1290.714
|''1253.571''
|''1253.571''
|1262.857
|1262.857
|1273.469-1301.3265
|1273.469-1310.612
|-
|-
|14
|14
|F
|F
|G
|G
|1290-1320
|1280-1320
|1326.316
|1326.316
| colspan="2" |1303.333-1363.333
| colspan="2" |1293.333-1373.333
|1341.1765
|1341.1765
| colspan="2" |1320-1380
| colspan="2" |1310-1390
|''1350''
|''1350''
|1360
|1360
|1371.429-1401.429
|1371.429-1411.429
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 375: Line 375:
|1
|1
|F#/Gb
|F#/Gb
|95.816-97.959
|95.102-97.959
|98.901
|98.901
| colspan="2" |97.105-101.391
| colspan="2" |96.391-102.105
|99.429
|99.429
| colspan="2" |97.857-102.143
| colspan="2" |97.143-102.857
| colspan="2" |''100''
| colspan="2" |''100''
|100.84
|100.84
| colspan="2" |99.156-103.4415
| colspan="2" |98.442-104.156
|101.786
|101.786
|102.857-105
|102.857-105.714
|-
|-
|2
|2
|G
|G
|191.633-195.918
|190.204-195.918
|197.802
|197.802
| colspan="2" |194.2105-202.782
| colspan="2" |192.782-204.2105
|198.857
|198.857
| colspan="2" |195.714-204.286
| colspan="2" |194.286-205.714
| colspan="2" |''200''
| colspan="2" |''200''
|201.681
|201.681
| colspan="2" |198.312-206.883
| colspan="2" |196.883-208.312
|203.571
|203.571
|205.714-210
|205.714-211.429
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|288.449-293.878
|285.306-293.878
|296.703
|296.703
| colspan="2" |291.316-304.173
| colspan="2" |289.173-306.316
|297.286
|297.286
| colspan="2" |293.571-206.429
| colspan="2" |291.429-308.571
| colspan="2" |''300''
| colspan="2" |''300''
|302.521
|302.521
| colspan="2" |297.4675-310.3256
| colspan="2" |295.325-312.4675
|305.357
|305.357
|308.571-315
|308.571-317.143
|-
|-
|4
|4
|A
|A
|383.265-391.836
|380.408-391.836
|395.604
|395.604
| colspan="2" |388.421-405.564
| colspan="2" |385.564-408.421
|397.714
|397.714
| colspan="2" |391.429-408.571
| colspan="2" |388.571-411.429
| colspan="2" |''400''
| colspan="2" |''400''
|403.361
|403.361
| colspan="2" |396.623-413.726
| colspan="2" |393.726-416.623
|407.143
|407.143
|411.429-420
|411.429-422.857
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|479.082-489.796
|475.51-489.796
|494.5055
|494.5055
| colspan="2" |485.526-506.956
| colspan="2" |481.956-510.526
|496.143
|496.143
| colspan="2" |489.286-510.714
| colspan="2" |485.714-514.286
| colspan="2" |''500''
| colspan="2" |''500''
|504.201
|504.201
| colspan="2" |495.779-517.208
| colspan="2" |492.208-520.779
|508.929
|508.929
|514.286-525
|514.286-528.571
|-
|-
|6
|6
|B
|B
|574.898-587.755
|570.612-587.755
|593.407
|593.407
| colspan="2" |582.632-608.246
| colspan="2" |578.246-612.632
|596.571
|596.571
| colspan="2" |587.143-612.857
| colspan="2" |582.857-617.143
| colspan="2" |''600''
| colspan="2" |''600''
|605.042
|605.042
| colspan="2" |594.935-620.6495
| colspan="2" |590.649-624.935
|610.714
|610.714
|617.143-630
|617.143-634.286
|-
|-
|7
|7
|H
|H
|670.714-685.714
|665.714-685.714
|692.308
|692.308
| colspan="2" |679.737-709.737
| colspan="2" |674.737-714.737
|696
|696
| colspan="2" |685-715
| colspan="2" |680-720
| colspan="2" |''700''
| colspan="2" |''700''
|705.882
|705.882
| colspan="2" |694.091-724.091
| colspan="2" |689.091-729.091
|712.5
|712.5
|720-735
|720-740
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|766.531-783.6735
|760.916-783.6735
|791.209
|791.209
| colspan="2" |776.842-811.128
| colspan="2" |771.128-816.842
|795.429
|795.429
| colspan="2" |782.857-817.143
| colspan="2" |777.143-822.857
| colspan="2" |''800''
| colspan="2" |''800''
|806.723
|806.723
| colspan="2" |793.247-827.5355
| colspan="2" |787.5325-833.247
|814.286
|814.286
|822.857-840
|822.857-845.714
|-
|-
|9
|9
|C
|C
|862.347-881.633
|855.918-881.633
|890.11
|890.11
| colspan="2" |873.947-912.506
| colspan="2" |867.506-918.947
|894.857
|894.857
| colspan="2" |880.714-919.286
| colspan="2" |874.286-925.714
| colspan="2" |''900''
| colspan="2" |''900''
|907.563
|907.563
| colspan="2" |892.403-930.974
| colspan="2" |885.974-937.403
|916.071
|916.071
|925.714-945
|925.714-951.429
|-
|-
|10
|10
|C#/Db
|C#/Db
|958.163-979.592
|951.02-979.592
|989.011
|989.011
| colspan="2" |971.053-1013.91
| colspan="2" |963.91-1021.053
|993.286
|993.286
| colspan="2" |978.571-1021.429
| colspan="2" |971.429-1028.571
| colspan="2" |''1000''
| colspan="2" |''1000''
|1008.403
|1008.403
| colspan="2" |991.5585-1034.416
| colspan="2" |984.416-1041.558
|1017.857
|1017.857
|1028.571-1050
|1028.571-1057.143
|-
|-
|11
|11
|D
|D
|1053.98-1077.551
|1046.122-1077.551
|1087.912
|1087.912
| colspan="2" |1068.158-1115.301
| colspan="2" |1060.301-1123.158
|1093.714
|1093.714
| colspan="2" |1076.429-1123.571
| colspan="2" |1068.571-1131.429
| colspan="2" |''1100''
| colspan="2" |''1100''
|1109.244
|1109.244
| colspan="2" |1090.714-1137.857
| colspan="2" |1082.857-1145.714
|1119.643
|1119.643
|1131.429-1155
|1131.429-1162.857
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|1149.796-1175.51
|1141.2245-1175.51
|1186.813
|1186.813
| colspan="2" |1165.263-1216.692
| colspan="2" |1156.692-1225.263
|1192.143
|1192.143
| colspan="2" |1174.286-1225.714
| colspan="2" |1165.714-1234.286
| colspan="2" |''1200''
| colspan="2" |''1200''
|1210.084
|1210.084
| colspan="2" |1189.87-1241.299
| colspan="2" |1181.299-1249.87
|1221.429
|1221.429
|1234.286-1260
|1234.286-1268.571
|-
|-
|13
|13
|E
|E
|1425.612-1273.469
|1236.3265-1273.469
|1285.714
|1285.714
| colspan="2" |1262.368-1318.083
| colspan="2" |1253.083-1327.368
|1292.571
|1292.571
| colspan="2" |1272.143-1327.857
| colspan="2" |1262.857-1337.143
| colspan="2" |''1300''
| colspan="2" |''1300''
|1310.924
|1310.924
| colspan="2" |1289.026-1244.74
| colspan="2" |1279.74-1254.026
|1323.214
|1323.214
|1337.143-1365
|1337.143-1374.286
|-
|-
|14
|14
|F
|F
|1341.429-1371.429
|1331.429-1371.429
|1384.615
|1384.615
| colspan="2" |1359.474-1419.474
| colspan="2" |1349.474-1429.474
|1392
|1392
| colspan="2" |1370-1430
| colspan="2" |1360-1440
| colspan="2" |''1400''
| colspan="2" |''1400''
|1411.765
|1411.765
| colspan="2" |1388.182-1448.182
| colspan="2" |1378.182-1458.182
|1425
|1425
|1440-1470
|1440-1480
|}
|}
Golden/Pyrite Tunings±13¢
Golden/Pyrite Tunings±13¢

Revision as of 01:16, 10 June 2019

This scale, a reformed minor mode,occurs in 12edo, where it is the equal division of the major ninth. It has the Long Common Practice Macroshrutis 6L 2s 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 82.857-85.714 89.61 86.939-92.653 90.476-90.612 88.571-94.694 92.571-92.857 94.286-97.143
2 A 165.714-171.429 179.221 173.878-185.306 180.952-181.2245 177.143-189.388 185.143-185.714 188.571-194.286
3 A#/Bb 248.571-257.143 268.831 260.816-277.959 271.429-271.837 265.714-284.082 277.714-278.571 282.857-291.429
4 B 331.429-342.857 358.442 357.755-370.612 361.905-362.449 354.286-378.7755 370.286-371.429 377.143-388.571
5 B#/Cb 414.286-428.571 448.052 434.694-463.265 452.381-453.061 442.857-473.436 462.857-464.286 471.429-485.714
6 C 497.143-514.286 537.662 521.633-555.918 542.857-543.6735 531.429-568.163 555.429-557.143 565.714-582.857
7 Q 580-600 627.273 608.571-648.571 633.333-634.286 620-662.857 648-650 660-680
8 Q#/Db 662.857-685.714 716.883 695.51-741.2245 723.8095-724.898 708.571-757.551 740.571-742.857 754.286-777.143
9 D 745.714-771.429 806.4935 782.449-833.878 814.286-815.510 797.143-852.245 833.143-835.714 848.571-874.286
10 D#/Eb 828.571-857.143 896.103 869.388-926.531 904.762-906.1225 885.714-946.938 925.714-928.571 942.857-971.429
11 E 911.429-942.857 985.714 956.327-1019.184 995.238-996.735 974.286-1041.633 1018.286-1021.429 1037.143-1068.571
12 E#/Fb 994.286-1028.571 1075.325 1043.266-1111.837 1085.714-1087.347 1062.857-1136.3265 1110.857-1114.286 1131.429-1165.714
13 F 1077.143-1114.286 1164.935 1130.204-1204.49 1176.1905-1177.959 1151.429-1231.02 1203.429-1207.143 1225.714-1262.857
14 G 1160-1200 1254.5455 1217.143-1297.143 1266.667-1268.571 1240-1325.714 1296-1300 1320-1360
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 91.429-94.286 94.737 92.381-98.095 95.798 93.571-99.286 96.429 97.143 97.959-100.816
2 G A 183.857-188.571 189.473 184.762-196.1905 191.597 187.143-198.571 192.857 194.286 195.918-201.633
3 G#/Ab A#/Bb 274.286-282.857 284.2105 277.143-294.286 287.395 280.714-297.857 289.286 291.429 293.878-301.449
4 A B 363.714-377.143 378.947 369.524-392.381 383.193 374.286-397.143 385.714 388.571 391.836-403.265
5 A#/Bb B#/Cb 455.143-471.429 473.684 461.905-490.476 478.992 467.857-496.429 482.143 485.714 489.796-504.082
6 B C 546.571-565.714 568.421 554.286-588.571 574.79 561.429-595.714 578.571 582.857 587.755-604.898
7 H Q 640-660 663.158 646.667-686.667 670.588 655-695 675 680 685.714-705.714
8 H#/Cb Q#/Db 731.429-754.286 757.894 739.048-784.762 766.387 748.571-794.286 771.429 777.143 783.6735-806.531
9 C D 823.857-848.571 853.632 831.429-882.857 862.185 842.143-893.571 867.857 874.286 881.633-907.347
10 C#/Db D#/Eb 914.286-942.857 947.368 923.8095-980.952 957.983 935.714-992.857 964.286 971.429 979.592-1008.163
11 D E 1003.714-1037.143 1042.105 1016.1905-1079.048 1053.7815 1029.286-1092.143 1060.714 1068.571 1077.551-1108.98
12 D#/Eb E#/Fb 1095.143-1131.429 1136.842 1108.429-1177.143 1149.58 1122.857-1191.429 1157.143 1165.714 1175.51-1209.796
13 E F 1186.571-1225.714 1231.579 1200.952-1275.238 1245.378 1216.429-1290.714 1253.571 1262.857 1273.469-1310.612
14 F G 1280-1320 1326.316 1293.333-1373.333 1341.1765 1310-1390 1350 1360 1371.429-1411.429
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 95.102-97.959 98.901 96.391-102.105 99.429 97.143-102.857 100 100.84 98.442-104.156 101.786 102.857-105.714
2 G 190.204-195.918 197.802 192.782-204.2105 198.857 194.286-205.714 200 201.681 196.883-208.312 203.571 205.714-211.429
3 G#/Ab 285.306-293.878 296.703 289.173-306.316 297.286 291.429-308.571 300 302.521 295.325-312.4675 305.357 308.571-317.143
4 A 380.408-391.836 395.604 385.564-408.421 397.714 388.571-411.429 400 403.361 393.726-416.623 407.143 411.429-422.857
5 A#/Bb 475.51-489.796 494.5055 481.956-510.526 496.143 485.714-514.286 500 504.201 492.208-520.779 508.929 514.286-528.571
6 B 570.612-587.755 593.407 578.246-612.632 596.571 582.857-617.143 600 605.042 590.649-624.935 610.714 617.143-634.286
7 H 665.714-685.714 692.308 674.737-714.737 696 680-720 700 705.882 689.091-729.091 712.5 720-740
8 H#/Cb 760.916-783.6735 791.209 771.128-816.842 795.429 777.143-822.857 800 806.723 787.5325-833.247 814.286 822.857-845.714
9 C 855.918-881.633 890.11 867.506-918.947 894.857 874.286-925.714 900 907.563 885.974-937.403 916.071 925.714-951.429
10 C#/Db 951.02-979.592 989.011 963.91-1021.053 993.286 971.429-1028.571 1000 1008.403 984.416-1041.558 1017.857 1028.571-1057.143
11 D 1046.122-1077.551 1087.912 1060.301-1123.158 1093.714 1068.571-1131.429 1100 1109.244 1082.857-1145.714 1119.643 1131.429-1162.857
12 D#/Eb 1141.2245-1175.51 1186.813 1156.692-1225.263 1192.143 1165.714-1234.286 1200 1210.084 1181.299-1249.87 1221.429 1234.286-1268.571
13 E 1236.3265-1273.469 1285.714 1253.083-1327.368 1292.571 1262.857-1337.143 1300 1310.924 1279.74-1254.026 1323.214 1337.143-1374.286
14 F 1331.429-1371.429 1384.615 1349.474-1429.474 1392 1360-1440 1400 1411.765 1378.182-1458.182 1425 1440-1480

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 88.575-90.4325 88.751-90.608 89.103-91.32 89.871-91.7835 91.334-93.515 91.983-94.271
2 A 177.151-180.865 177.501-181.216 178.206-182.64 179.743-183.567 182.667-187.031 183.965-188.543
3 A#/Bb 265.756-271.2975 266.252-271.823 267.309-273.96 269.614-275.351 274.001-280.545 275.948-282.814
4 B 354.301-361.73 355.003-362.431 356.412-365.28 359.4855-367.134 365.335-374.613 367.931-377.085
5 B#/Cb 442.877-452.1625 443.753-453.039 445.515-456.6 449.357-458.918 456.6685-467.577 459.913-471.357
6 C 531.452-542.595 532.504-543.647 534.6175-547.92 539.228-550.701 548.002-561.092 551.896-565.628
7 Q 620.0275-633.0275 621.253-634.253 623.7205-639.24 629.1-642.485 639.335-654.335 643.879-659.8995
8 Q#/Db 708.603-723.46 710.005-724.862 712.823-730.56 718.971-734 730.67-748.123 735.861-754.171
9 D 797.178-813.8925 798.756-815.47 801.926-821.88 808.842-826.032 822.003-841.78 827.844848.442
10 D#/Eb 885.754-904.325 887.507-906.078 891.029-913.2 898.714-917.835 913.337-935.153 919.8265-942.7135
11 E 974.329-994.7575 976.257-996.686 980.132-1004.52 988.585-1009.619 1007.671-1028.6685 1011.809-1036.985
12 E#/Fb 1062.904-1085.19 1065.008-1087.294 1069.235-1095.84 1078.4565-1101.023 1096.004-1121.1894 1103.792-1131.256
13 F 1151.48-1175.6225 1153.759-1177.901 1158.338-1187.16 1168.328-1193.186 1187.338-1215.699 1195.7745-1225.528
14 G 1240.055-1266.055 1242.506-1268.506 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 Med-Max Min-Med/Min-Max Med-Max
1 F#/Gb G#/Ab 93.6975-95.555 93.922-95.779 94.732-96.589 95.012-96.869 96.037-97.894 96.397-98.254
2 G A 187.395-191.109 187.844-191.558 189.463-193.178 190.0235-193.738 192.074-195.789 192.794-196.508
3 G#/Ab A#/Bb 281.093-286.664 281.765-287.337 284.195-289.766 285.035-290.607 288.112-293.683 289.191-294.7625
4 A B 374.79-382.219 375.687-383.116 378.9265-386.219 380.047-387.476 384.149-391.577 385.588-393.017
5 A#/Bb B#/Cb 468.488-477.773 469.609-478.895 473.658-482.944 475.059-484.3445 480.186-489.472 481.985-491.271
6 B C 562.185-573.328 563.531-574.674 568.39-579.533 570.0705-581.213 576.223-587.366 578.382-589.525
7 H Q 655.883-668.883 657.4525-670.4525 663.121-676.121 665.082-678.082 672.2605-685.2605 674.779-687.779
8 H#/Cb Q#/Db 749.58-764.4375 751.374-766.231 757.853-772.71 760.094-774.951 768.298-783.155 771.176-786.033
9 C D 843.278-859.992 845.296-862.01 852.585-869.299 855.105-871.82 864.335-881.049 867.573-884.2875
10 C#/Db D#/Eb 936.975-955.5546 939.218-957.789 947.316-965.887 950.1175-968.689 960.372-978.9435 963.97-982.542
11 D E 1030.672-1051.101 1033.101-1053.568 1042.048-1062.477 1045.129-1065.558 1056.409-1076.838 1060.367-1080.796
12 D#/Eb E#/Fb 1124.3705-1146.656 1127.061-1149.347 1136.78-1159.065 1140.141-1162.427 1152.4465-1174.732 1156.764-1179.05
13 E F 1218.068-1242.211 1220.983-1245.126 1231.511-1255.654 1235.153-1259.295 1248.484-1272.626 1253.161-1227.304
14 F G 1311.767-1337.767 1314.905-1340.905 1326.243-1352.243 1330.1645-1356.1645 1344.521-1370.521 1349.558-1375.558
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 97.737-99.5945 98.0805-100.2995 98.574-100.431 99.761-101.618 100.043-101.9 100.712-102.569 101.031-102.888
2 G 195.475-199.189 196.161-200.599 197.148-200.862 199.523-203.237 200.085-203.8 201.424-205.138 202.061.205.7755
3 G#/Ab 293.212-298.783 294.2415-300.8985 295.721-301.293 299.284-304.885 300.128-305.6995 302.135-307.707 303.092-308.663
4 A 390.949-398.378 392.322-401.198 394.295-401.724 399.045-406.474 400.171-407.599 402.848-410.276 404.122-411.551
5 A#/Bb 488.687-497.972 490.4025-501.497 492.869-502.155 498.806-508.092 500.2135-509.499 503.56-512.845 505.153-514.439
6 B 586.424-597.567 588.483-601.797 591.443-602.586 598.568-609.711 600.256-611.399 604.2715-615.414 606.1835-617.326
7 H 684.161-697.161 686.5635-702.096 690.017-703.017 698.329-711.329 700.299-713.299 704.983-717.983 707.214-720.214
8 H#/Cb 781.899-796.756 784.644-802.3955 788.5905-803.448 798.09-812.947 800.342-815.199 805.695-820.5525 808.245-823.102
9 C 879.636-896.35 882.724-902.695 887.164-903.879 897.8582-914.566. 900.384-917.099 906.407-923.1215 909.275-925.9895
10 C#/Db 977.373-995.945 980.805-1002.995 985.738-1004.3095 997.613-1016.184 1000.427-1018.9985 1007.119-1025.691 1010.306-1028.877
11 D 1075.111-1095.539 1078.885-1003.294 1084.312-1104.7405 1097.374-1117.803 1100.47-1120.898 1107.831-1128.26 1111.134-1131.765
12 D#/Eb 1172.848-1195.134 1176.966-1203.594 1182.886-1205.171 1197.135-1219.421 1200.512-1222.798 1208.543-1230.829 1212.367-1234.653
13 E 1270.585-1294.728 1275.046-1303.893 1281.4956-1305.603 1296.867-1321.04 1300.555-1324.698 1309.255-1333.398 1313.3975-1337.54
14 F 1368.323-1394.324 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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