User:Moremajorthanmajor/14edIX: 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
|''85.714''
|83.571-''85.714''
|89.61
|89.61
| colspan="2" |89.796
| colspan="2" |87.653-91.939
|90.476-90.612
|90.476-90.612
| colspan="2" |91.429-91.837
| colspan="2" |91.429-91.837
|92.571-''92.857''
|92.571-''92.857''
|94.286
|94.286-96.429
|-
|-
|2
|2
|A
|A
|''171.429''
|167.143-''171.429''
|179.221
|179.221
| colspan="2" |179.592
| colspan="2" |175.306-183.878
|180.952-181.2245
|180.952-181.2245
| colspan="2" |182.857-183.6735
| colspan="2" |182.857-183.6735
|185.143-''185.714''
|185.143-''185.714''
|188.571
|188.571-192.857
|-
|-
|3
|3
|A#/Bb
|A#/Bb
|''257.143''
|250.714-''257.143''
|268.831
|268.831
| colspan="2" |269.388
| colspan="2" |262.959-275.816
|271.429-271.837
|271.429-271.837
| colspan="2" |274.286-275.51
| colspan="2" |274.286-275.51
|277.714-''278.571''
|277.714-''278.571''
|282.857
|282.857-289.286
|-
|-
|4
|4
|B
|B
|''342.857''
|334.286-''342.857''
|358.442
|358.442
| colspan="2" |359.184
| colspan="2" |350.612-367.755
|361.905-362.449
|361.905-362.449
| colspan="2" |365.714-367.347
| colspan="2" |365.714-367.347
|370.286-''371.429''
|370.286-''371.429''
|377.143
|377.143-385.714
|-
|-
|5
|5
|B#/Cb
|B#/Cb
|''428.571''
|417.857-''428.571''
|448.052
|448.052
| colspan="2" |448.98
| colspan="2" |438.265-459.694
|452.381-453.061
|452.381-453.061
| colspan="2" |457.143-459.184
| colspan="2" |457.143-459.184
|462.857-''464.286''
|462.857-''464.286''
|471.429
|471.429-482.143
|-
|-
|6
|6
|C
|C
|''514.286''
|501.429-''514.286''
|537.662
|537.662
| colspan="2" |538.776
| colspan="2" |525.918-551.633
|542.857-543.6735
|542.857-543.6735
| colspan="2" |548.571-551.02
| colspan="2" |548.571-551.02
|555.429-''557.143''
|555.429-''557.143''
|565.714
|565.714-578.571
|-
|-
|7
|7
|Q
|Q
|''600''
|585-''600''
|627.273
|627.273
| colspan="2" |628.571
| colspan="2" |613.571-643.571
|633.333-634.286
|633.333-634.286
| colspan="2" |640-642.857
| colspan="2" |640-642.857
|648-''650''
|648-''650''
|660
|660-675
|-
|-
|8
|8
|Q#/Db
|Q#/Db
|''685.714''
|668.571-''685.714''
|716.883
|716.883
| colspan="2" |718.367
| colspan="2" |701.2245-735.51
|723.8095-724.898
|723.8095-724.898
| colspan="2" |731.429-734.694
| colspan="2" |731.429-734.694
|740.571-''742.857''
|740.571-''742.857''
|754.286
|754.286-771.429
|-
|-
|9
|9
|D
|D
|''771.429''
|752.143-''771.429''
|806.4935
|806.4935
| colspan="2" |808.163
| colspan="2" |788.878-827.449
|814.286-815.510
|814.286-815.510
| colspan="2" |822.857-826.531
| colspan="2" |822.857-826.531
|833.143-''835.714''
|833.143-''835.714''
|848.571
|848.571-867.857
|-
|-
|10
|10
|D#/Eb
|D#/Eb
|''857.143''
|835.714-''857.143''
|896.103
|896.103
| colspan="2" |897.959
| colspan="2" |876.531-919.388
|904.762-906.1225
|904.762-906.1225
| colspan="2" |914.286-918.367
| colspan="2" |914.286-918.367
|925.714-''928.571''
|925.714-''928.571''
|942.857
|942.857-964.286
|-
|-
|11
|11
|E
|E
|''942.857''
|919.286-''942.857''
|985.714
|985.714
| colspan="2" |987.755
| colspan="2" |964.184-1011.327
|995.238-996.735
|995.238-996.735
| colspan="2" |1005.714-1010.204
| colspan="2" |1005.714-1010.204
|1018.286-''1021.429''
|1018.286-''1021.429''
|1037.143
|1037.143-1060.714
|-
|-
|12
|12
|E#/Fb
|E#/Fb
|''1028.571''
|1002.857-''1028.571''
|1075.325
|1075.325
| colspan="2" |1077.551
| colspan="2" |1051.837-1103.266
|1085.714-1087.347
|1085.714-1087.347
| colspan="2" |1097.143-1102.041
| colspan="2" |1097.143-1102.041
|1110.857-''1114.286''
|1110.857-''1114.286''
|1131.429
|1131.429-1157.143
|-
|-
|13
|13
|F
|F
|''1114.286''
|1086.429-''1114.286''
|1164.935
|1164.935
| colspan="2" |1167.735
| colspan="2" |1139.49-1195.204
|1176.1905-1177.959
|1176.1905-1177.959
| colspan="2" |1188.571-1193.878
| colspan="2" |1188.571-1193.878
|1203.429-''1207.143''
|1203.429-''1207.143''
|1225.714
|1225.714-1253.571
|-
|-
|14
|14
|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
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 167: Line 167:
! 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
|94.286
|92.143-94.286
|94.737
|94.737
| colspan="2" |95.238
| colspan="2" |95.238
|95.798
|95.798
| colspan="2" |''96.429''
| colspan="2" |94.286-98.571
|''96.429''
|97.143
|97.143
|97.959
|97.959-100.102
|-
|-
|2
|2
|G
|G
|A
|A
|188.571
|184.286-188.571
|189.473
|189.473
| colspan="2" |190.476
| colspan="2" |190.476
|191.597
|191.597
| colspan="2" |''192.857''
| colspan="2" |188.571-197.143
|''192.857''
|194.286
|194.286
|195.918
|195.918-200.204
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|A#/Bb
|A#/Bb
|282.857
|276.429-282.857
|284.2105
|284.2105
| colspan="2" |285.714
| colspan="2" |285.714
|287.395
|287.395
| colspan="2" |''289.286''
| colspan="2" |282.857-295.714
|''289.286''
|291.429
|291.429
|293.878
|293.878-300.306
|-
|-
|4
|4
|A
|A
|B
|B
|377.143
|368.571-377.143
|378.947
|378.947
| colspan="2" |380.952
| colspan="2" |380.952
|383.193
|383.193
| colspan="2" |''385.714''
| colspan="2" |377.143-394.286
|''385.714''
|388.571
|388.571
|391.836
|391.836-400.408
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|B#/Cb
|B#/Cb
|471.429
|460.714-471.429
|473.684
|473.684
| colspan="2" |476.1905
| colspan="2" |476.1905
|478.992
|478.992
| colspan="2" |''482.143''
| colspan="2" |471.429-492.857
|''482.143''
|485.714
|485.714
|489.796
|489.796-500.51
|-
|-
|6
|6
|B
|B
|C
|C
|565.714
|552.857-565.714
|568.421
|568.421
| colspan="2" |571.429
| colspan="2" |571.429
|574.79
|574.79
| colspan="2" |''578.571''
| colspan="2" |565.714-591.429
|''578.571''
|582.857
|582.857
|587.755
|587.755-600.612
|-
|-
|7
|7
|H
|H
|Q
|Q
|660
|645-660
|663.158
|663.158
| colspan="2" |666.667
| colspan="2" |666.667
|670.588
|670.588
| colspan="2" |''675''
| colspan="2" |660-690
|''675''
|680
|680
|685.714
|685.714-700.714
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|Q#/Db
|Q#/Db
|754.286
|737.143-754.286
|757.894
|757.894
| colspan="2" |761.905
| colspan="2" |761.905
|766.387
|766.387
| colspan="2" |''771.429''
| colspan="2" |754.286-788.571
|''771.429''
|777.143
|777.143
|783.6735
|783.6735-800.806
|-
|-
|9
|9
|C
|C
|D
|D
|848.571
|829.286-848.571
|853.632
|853.632
| colspan="2" |857.143
| colspan="2" |857.143
|862.185
|862.185
| colspan="2" |''867.857''
| colspan="2" |848.571-887.143
|''867.857''
|874.286
|874.286
|881.633
|881.633-900.918
|-
|-
|10
|10
|C#/Db
|C#/Db
|D#/Eb
|D#/Eb
|942.857
|921.429-942.857
|947.368
|947.368
| colspan="2" |952.381
| colspan="2" |952.381
|957.983
|957.983
| colspan="2" |''964.286''
| colspan="2" |942.857-985.714
|''964.286''
|971.429
|971.429
|979.592
|979.592-1001.02
|-
|-
|11
|11
|D
|D
|E
|E
|1037.143
|1013.571-1037.143
|1042.105
|1042.105
| colspan="2" |1047.619
| colspan="2" |1047.619
|1053.7815
|1053.7815
| colspan="2" |''1060.714''
| colspan="2" |1037.143-1084.286
|''1060.714''
|1068.571
|1068.571
|1077.551
|1077.551-1101.1225
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|E#/Fb
|E#/Fb
|1131.429
|1105.714-1131.429
|1136.842
|1136.842
| colspan="2" |1142.857
| colspan="2" |1142.857
|1149.58
|1149.58
| colspan="2" |''1157.143''
| colspan="2" |1131.429-1182.857
|''1157.143''
|1165.714
|1165.714
|1175.51
|1175.51-1201.2245
|-
|-
|13
|13
|E
|E
|F
|F
|1225.714
|1197.857-1225.714
|1231.579
|1231.579
| colspan="2" |1238.095
| colspan="2" |1238.095
|1245.378
|1245.378
| colspan="2" |''1253.571''
| colspan="2" |1225.714-1281.429
|''1253.571''
|1262.857
|1262.857
|1273.469
|1273.469-1301.3265
|-
|-
|14
|14
|F
|F
|G
|G
|1320
|1290-1320
|1326.316
|1326.316
| colspan="2" |1333.333
| colspan="2" |1333.333
|1341.1765
|1341.1765
| colspan="2" |''1350''
| colspan="2" |1320-1380
|''1350''
|1360
|1360
|1371.429
|1371.429-1401.429
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 337: Line 352:
! rowspan="3" |Octatonic
! rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Meantone
! colspan="3" |Superpyth
! colspan="5" |Superpyth
! colspan="3" |Ultrapyth
! colspan="3" |Ultrapyth
|-
|-
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
! colspan="2" |''r¢''
!Median
!Median
!Maximum
!Maximum+comma
!Minimum
!Minimum-comma
!Median
!Median
!Maximum
!Maximum+comma
|-
|-
|1
|1
|F#/Gb
|F#/Gb
|97.959
|95.816-97.959
|98.901
|98.901
| colspan="2" |99.248
| colspan="2" |97.105-101.391
|99.429
|99.429
| colspan="2" |97.857-102.143
| colspan="2" |''100''
| colspan="2" |''100''
|100.84
|100.84
| colspan="2" |101.299
| colspan="2" |99.156-103.4415
|101.786
|101.786
|102.857
|102.857-105
|-
|-
|2
|2
|G
|G
|195.918
|191.633-195.918
|197.802
|197.802
| colspan="2" |198.496
| colspan="2" |194.2105-202.782
|198.857
|198.857
| colspan="2" |195.714-204.286
| colspan="2" |''200''
| colspan="2" |''200''
|201.681
|201.681
| colspan="2" |202.597
| colspan="2" |198.312-206.883
|203.571
|203.571
|205.714
|205.714-210
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|293.878
|288.449-293.878
|296.703
|296.703
| colspan="2" |297.744
| colspan="2" |291.316-304.173
|297.286
|297.286
| colspan="2" |293.571-206.429
| colspan="2" |''300''
| colspan="2" |''300''
|302.521
|302.521
| colspan="2" |303.896
| colspan="2" |297.4675-310.3256
|305.357
|305.357
|308.571
|308.571-315
|-
|-
|4
|4
|A
|A
|391.836
|383.265-391.836
|395.604
|395.604
| colspan="2" |396.9925
| colspan="2" |388.421-405.564
|397.714
|397.714
| colspan="2" |391.429-408.571
| colspan="2" |''400''
| colspan="2" |''400''
|403.361
|403.361
| colspan="2" |405.195
| colspan="2" |396.623-413.726
|407.143
|407.143
|411.429
|411.429-420
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|489.796
|479.082-489.796
|494.5055
|494.5055
| colspan="2" |496.241
| colspan="2" |485.526-506.956
|496.143
|496.143
| colspan="2" |489.286-510.714
| colspan="2" |''500''
| colspan="2" |''500''
|504.201
|504.201
| colspan="2" |506.4935
| colspan="2" |495.779-517.208
|508.929
|508.929
|514.286
|514.286-525
|-
|-
|6
|6
|B
|B
|587.755
|574.898-587.755
|593.407
|593.407
| colspan="2" |595.4489
| colspan="2" |582.632-608.246
|596.571
|596.571
| colspan="2" |587.143-612.857
| colspan="2" |''600''
| colspan="2" |''600''
|605.042
|605.042
| colspan="2" |607.792
| colspan="2" |594.935-620.6495
|610.714
|610.714
|617.143
|617.143-630
|-
|-
|7
|7
|H
|H
|685.714
|670.714-685.714
|692.308
|692.308
| colspan="2" |694.737
| colspan="2" |679.737-709.737
|696
|696
| colspan="2" |685-715
| colspan="2" |''700''
| colspan="2" |''700''
|705.882
|705.882
| colspan="2" |709.091
| colspan="2" |694.091-724.091
|712.5
|712.5
|720
|720-735
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|783.6735
|766.531-783.6735
|791.209
|791.209
| colspan="2" |793.985
| colspan="2" |776.842-811.128
|795.429
|795.429
| colspan="2" |782.857-817.143
| colspan="2" |''800''
| colspan="2" |''800''
|806.723
|806.723
| colspan="2" |810.39
| colspan="2" |793.247-827.5355
|814.286
|814.286
|822.857
|822.857-840
|-
|-
|9
|9
|C
|C
|881.633
|862.347-881.633
|890.11
|890.11
| colspan="2" |893.233
| colspan="2" |873.947-912.506
|894.857
|894.857
| colspan="2" |880.714-919.286
| colspan="2" |''900''
| colspan="2" |''900''
|907.563
|907.563
| colspan="2" |911.688
| colspan="2" |892.403-930.974
|916.071
|916.071
|925.714
|925.714-945
|-
|-
|10
|10
|C#/Db
|C#/Db
|979.592
|958.163-979.592
|989.011
|989.011
| colspan="2" |992.481
| colspan="2" |971.053-1013.91
|993.286
|993.286
| colspan="2" |978.571-1021.429
| colspan="2" |''1000''
| colspan="2" |''1000''
|1008.403
|1008.403
| colspan="2" |1012.987
| colspan="2" |991.5585-1034.416
|1017.857
|1017.857
|1028.571
|1028.571-1050
|-
|-
|11
|11
|D
|D
|1077.551
|1053.98-1077.551
|1087.912
|1087.912
| colspan="2" |1091.729
| colspan="2" |1068.158-1115.301
|1093.714
|1093.714
| colspan="2" |1076.429-1123.571
| colspan="2" |''1100''
| colspan="2" |''1100''
|1109.244
|1109.244
| colspan="2" |1114.286
| colspan="2" |1090.714-1137.857
|1119.643
|1119.643
|1131.429
|1131.429-1155
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|1175.51
|1149.796-1175.51
|1186.813
|1186.813
| colspan="2" |1190.977
| colspan="2" |1165.263-1216.692
|1192.143
|1192.143
| colspan="2" |1174.286-1225.714
| colspan="2" |''1200''
| colspan="2" |''1200''
|1210.084
|1210.084
| colspan="2" |1215.584
| colspan="2" |1189.87-1241.299
|1221.429
|1221.429
|1234.286
|1234.286-1260
|-
|-
|13
|13
|E
|E
|1273.469
|1425.612-1273.469
|1285.714
|1285.714
| colspan="2" |1290.226
| colspan="2" |1262.368-1318.083
|1292.571
|1292.571
| colspan="2" |1272.143-1327.857
| colspan="2" |''1300''
| colspan="2" |''1300''
|1310.924
|1310.924
| colspan="2" |1316.883
| colspan="2" |1289.026-1244.74
|1323.214
|1323.214
|1337.143
|1337.143-1365
|-
|-
|14
|14
|F
|F
|1371.429
|1341.429-1371.429
|1384.615
|1384.615
| colspan="2" |1389.474
| colspan="2" |1359.474-1419.474
|1392
|1392
| colspan="2" |1370-1430
| colspan="2" |''1400''
| colspan="2" |''1400''
|1411.765
|1411.765
| colspan="2" |1418.182
| colspan="2" |1388.182-1448.182
|1425
|1425
|1440
|1440-1470
|}
|}
Golden/Pyrite Tunings±13¢
Golden/Pyrite Tunings±13¢

Revision as of 21:13, 29 May 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 83.571-85.714 89.61 87.653-91.939 90.476-90.612 91.429-91.837 92.571-92.857 94.286-96.429
2 A 167.143-171.429 179.221 175.306-183.878 180.952-181.2245 182.857-183.6735 185.143-185.714 188.571-192.857
3 A#/Bb 250.714-257.143 268.831 262.959-275.816 271.429-271.837 274.286-275.51 277.714-278.571 282.857-289.286
4 B 334.286-342.857 358.442 350.612-367.755 361.905-362.449 365.714-367.347 370.286-371.429 377.143-385.714
5 B#/Cb 417.857-428.571 448.052 438.265-459.694 452.381-453.061 457.143-459.184 462.857-464.286 471.429-482.143
6 C 501.429-514.286 537.662 525.918-551.633 542.857-543.6735 548.571-551.02 555.429-557.143 565.714-578.571
7 Q 585-600 627.273 613.571-643.571 633.333-634.286 640-642.857 648-650 660-675
8 Q#/Db 668.571-685.714 716.883 701.2245-735.51 723.8095-724.898 731.429-734.694 740.571-742.857 754.286-771.429
9 D 752.143-771.429 806.4935 788.878-827.449 814.286-815.510 822.857-826.531 833.143-835.714 848.571-867.857
10 D#/Eb 835.714-857.143 896.103 876.531-919.388 904.762-906.1225 914.286-918.367 925.714-928.571 942.857-964.286
11 E 919.286-942.857 985.714 964.184-1011.327 995.238-996.735 1005.714-1010.204 1018.286-1021.429 1037.143-1060.714
12 E#/Fb 1002.857-1028.571 1075.325 1051.837-1103.266 1085.714-1087.347 1097.143-1102.041 1110.857-1114.286 1131.429-1157.143
13 F 1086.429-1114.286 1164.935 1139.49-1195.204 1176.1905-1177.959 1188.571-1193.878 1203.429-1207.143 1225.714-1253.571
14 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 92.143-94.286 94.737 95.238 95.798 94.286-98.571 96.429 97.143 97.959-100.102
2 G A 184.286-188.571 189.473 190.476 191.597 188.571-197.143 192.857 194.286 195.918-200.204
3 G#/Ab A#/Bb 276.429-282.857 284.2105 285.714 287.395 282.857-295.714 289.286 291.429 293.878-300.306
4 A B 368.571-377.143 378.947 380.952 383.193 377.143-394.286 385.714 388.571 391.836-400.408
5 A#/Bb B#/Cb 460.714-471.429 473.684 476.1905 478.992 471.429-492.857 482.143 485.714 489.796-500.51
6 B C 552.857-565.714 568.421 571.429 574.79 565.714-591.429 578.571 582.857 587.755-600.612
7 H Q 645-660 663.158 666.667 670.588 660-690 675 680 685.714-700.714
8 H#/Cb Q#/Db 737.143-754.286 757.894 761.905 766.387 754.286-788.571 771.429 777.143 783.6735-800.806
9 C D 829.286-848.571 853.632 857.143 862.185 848.571-887.143 867.857 874.286 881.633-900.918
10 C#/Db D#/Eb 921.429-942.857 947.368 952.381 957.983 942.857-985.714 964.286 971.429 979.592-1001.02
11 D E 1013.571-1037.143 1042.105 1047.619 1053.7815 1037.143-1084.286 1060.714 1068.571 1077.551-1101.1225
12 D#/Eb E#/Fb 1105.714-1131.429 1136.842 1142.857 1149.58 1131.429-1182.857 1157.143 1165.714 1175.51-1201.2245
13 E F 1197.857-1225.714 1231.579 1238.095 1245.378 1225.714-1281.429 1253.571 1262.857 1273.469-1301.3265
14 F G 1290-1320 1326.316 1333.333 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 95.816-97.959 98.901 97.105-101.391 99.429 97.857-102.143 100 100.84 99.156-103.4415 101.786 102.857-105
2 G 191.633-195.918 197.802 194.2105-202.782 198.857 195.714-204.286 200 201.681 198.312-206.883 203.571 205.714-210
3 G#/Ab 288.449-293.878 296.703 291.316-304.173 297.286 293.571-206.429 300 302.521 297.4675-310.3256 305.357 308.571-315
4 A 383.265-391.836 395.604 388.421-405.564 397.714 391.429-408.571 400 403.361 396.623-413.726 407.143 411.429-420
5 A#/Bb 479.082-489.796 494.5055 485.526-506.956 496.143 489.286-510.714 500 504.201 495.779-517.208 508.929 514.286-525
6 B 574.898-587.755 593.407 582.632-608.246 596.571 587.143-612.857 600 605.042 594.935-620.6495 610.714 617.143-630
7 H 670.714-685.714 692.308 679.737-709.737 696 685-715 700 705.882 694.091-724.091 712.5 720-735
8 H#/Cb 766.531-783.6735 791.209 776.842-811.128 795.429 782.857-817.143 800 806.723 793.247-827.5355 814.286 822.857-840
9 C 862.347-881.633 890.11 873.947-912.506 894.857 880.714-919.286 900 907.563 892.403-930.974 916.071 925.714-945
10 C#/Db 958.163-979.592 989.011 971.053-1013.91 993.286 978.571-1021.429 1000 1008.403 991.5585-1034.416 1017.857 1028.571-1050
11 D 1053.98-1077.551 1087.912 1068.158-1115.301 1093.714 1076.429-1123.571 1100 1109.244 1090.714-1137.857 1119.643 1131.429-1155
12 D#/Eb 1149.796-1175.51 1186.813 1165.263-1216.692 1192.143 1174.286-1225.714 1200 1210.084 1189.87-1241.299 1221.429 1234.286-1260
13 E 1425.612-1273.469 1285.714 1262.368-1318.083 1292.571 1272.143-1327.857 1300 1310.924 1289.026-1244.74 1323.214 1337.143-1365
14 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 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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