User:Moremajorthanmajor/15edX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
Line 4: Line 4:
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Enneatonic
! colspan="2" rowspan="3" |Enneatonic
! colspan="4" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="9" |Dorian
! colspan="9" |Dorian
|-
|-
Line 11: Line 11:
! colspan="3" |Superpental
! colspan="3" |Superpental
|-
|-
!Min
!Min-comma
!Golden±13¢
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
| |1
|G#/Jb
|''G#/Ab''
| |94-96
|97.143
| colspan="2" |95.778-99.778
|98.4615
| colspan="2" |98-102
|101.333
| colspan="2" |99.818-103.818
|102.222
|102.857-104.857
|-
| |2
|J
|''A''
| |188-192
|194.286
| colspan="2" |191.556-199.556
|196.923
| colspan="2" |196-204
|202.667
| colspan="2" |199.636-207.636
|204.444
|205.714-209.714
|-
| |3
|J#/Ab
|''A#/Bb''
| |282-288
|291.429
| colspan="2" |287.333-299.333
|295.385
| colspan="2" |294-306
|304
| colspan="2" |299.4545-311.4545
|306.667
|308.571-314.571
|-
| |4
|A
|''B''
| |376-384
|388.571
| colspan="2" |383.111-399.111
|393.846
| colspan="2" |392-408
|405.333
| colspan="2" |399.273-415.273
|408.889
|411.429-419.429
|-
| |5
|B
|''C''
| |470-480
|485.714
| colspan="2" |478.889-498.889
|492.308
| colspan="2" |490-510
|506.667
| colspan="2" |499.091-519.091
|511.111
|504.286-514.286
|-
| |6
|B#/Cb
|''C#/Qb''
| |564-576
|582.857
| colspan="2" |574.889-598.889
|590.769
| colspan="2" |588-612
|608
| colspan="2" |598.909-622.909
|613.333
|617.143-629.143
|-
| |7
|C
|''Q''
| |658-672
|680
| colspan="2" |670.444-698.444
|689.231
| colspan="2" |686-714
|709.333
| colspan="2" |698.727-726.727
|715.556
|720-734
|-
|8
|C#/Qb
|''Q#/Db''
|752-768
|757.143
| colspan="2" |766.222-798.222
|787.692
| colspan="2" |784-816
|810.667
| colspan="2" |798.5455-830.5455
|817.778
|822.857-838.857
|-
|9
|Q
|''D''
|846-864
|874.286
| colspan="2" |862-898
|886.154
| colspan="2" |882-918
|912
| colspan="2" |898.364-934.364
|920
|925.714-943.714
|-
|10
|D
|''S''
|940-960
|971.429
| colspan="2" |957.778-997.778
|984.615
| colspan="2" |980-1020
|1013.333
| colspan="2" |998.182-1038.182
|1022.222
|1028.571-1048.571
|-
|11
|D#/Eb
|''S#/Eb''
|1034-1056
|1068.571
| colspan="2" |1053.556-1097.778
|1083.077
| colspan="2" |1078-1132
|1114.667
| colspan="2" |1098-1142
|1124.444
|1131.429-1153.429
|-
|12
| colspan="2" |E
|1128-1152
|1165.714
| colspan="2" |1149.333-1197.333
|1181.5385
| colspan="2" |1176-1224
|1216
| colspan="2" |1197.818-1245.818
|1226.667
|1234.286-1258.286
|-
|13
| colspan="2" |E#/Fb
|1222-1248
|1362.857
| colspan="2" |1245.111-1297.111
|1280
| colspan="2" |1274-1326
|1317.333
| colspan="2" |1297.636-1349.636
|1328.889
|1337.143-1363.143
|-
|14
| colspan="2" |F
|1316-1344
|1360
| colspan="2" |1340.889-1396.889
|1378.4615
| colspan="2" |1372-1428
|1418.667
| colspan="2" |1397.4545-1453.4545
|1431.111
|1440-1468
|-
|15
| colspan="2" |G
|1410-1440
|1457.143
| colspan="2" |1436.667-1496.667
|1476.923
| colspan="2" |1470-1530
|1520
| colspan="2" |1497.273-1557.273
|1533.333
|1542.857-1572.857
|}
 
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="4" rowspan="2" |Enneatonic
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
!Min-comma
!''r¢''
!''r¢''
!Max
!Med
!Min
!Max+comma
!Golden±13¢
!Min-comma
!Max
!Med
!Min
!Max+comma
!Golden±13¢
|-
!Max
| |1
!Min
| colspan="2" |F#/Gb
!Golden±13¢
|G#/Jb
!Max
|''G#/Ab''
|100.857-102.857
| colspan="2" |''103.333''
| colspan="2" |101.529-105.529
|103.704
|104-106
|-
| |2
| colspan="2" |G
|J
|''A''
|201.714-205.714
| colspan="2" |''206.667''
| colspan="2" |203.059-211.059
|207.407
|208-212
|-
| |3
|G#/Jb
|''G#/Ab''
|J#/Ab
|''A#/Bb''
|302.571-308.571
| colspan="2" |''310''
| colspan="2" |304.588-316.588
|311.111
|312-318
|-
| |4
|J
|''A''
|A
|''B''
|403.429-411.429
| colspan="2" |''413.333''
| colspan="2" |406.118-422.118
|414.815
|416-424
|-
| |5
|A
|''B''
|B
|''C''
|504.286-514.286
| colspan="2" |''516.667''
| colspan="2" |507.647-527.647
|518.5185
|520-530
|-
| |6
|A#/Bb
|''B#/Hb''
|B#/Cb
|''C#/Qb''
|605.143-617.143
| colspan="2" |''620''
| colspan="2" |609.1765-633.1765
|622.222
|624-636
|-
| |7
|B
|''H''
|C
|''Q''
|706-720
| colspan="2" |''723.333''
| colspan="2" |710.706-738.706
|725.926
|728-742
|-
|8
|B#/Hb
|''H#/Cb''
|C#/Qb
|''Q#/Db''
|806.857-822.857
| colspan="2" |''826.667''
| colspan="2" |812.235-844.235
|829.63
|832-848
|-
|9
|H
|''C''
|Q
|''D''
|908.714-925.714
| colspan="2" |''930''
| colspan="2" |913.765-949.765
|933.333
|936-954
|-
|10
|C
|''D''
|D
|''S''
|1028.571-1048.571
| colspan="2" |''1033.333''
| colspan="2" |1015.294-1055.294
|1037.037
|1040-1060
|-
|11
|C#/Db
|''D#/Sb''
|D#/Eb
|''S#/Eb''
|1109.429-1131.429
| colspan="2" |''1136.667''
| colspan="2" |1116.8235-1160.8235
|1140.741
|1144-1166
|-
|12
|D
|''S''
| colspan="2" |E
|1210.286-1234.286
| colspan="2" |''1240''
| colspan="2" |1218.353-1266.353
|1244.444
|1248-1272
|-
|13
|D#/Eb
|''S#/Eb''
| colspan="2" |E#/Fb
|1311.143-1337.143
| colspan="2" |''1343.333''
| colspan="2" |1345.882-1397.882
|1348.148
|1352-1378
|-
|14
| colspan="2" |E
| colspan="2" |F
|1412-1440
| colspan="2" |''1446.667''
| colspan="2" |1421.412-1477.412
|1451.852
|1456-1484
|-
|15
| colspan="2" |F
| colspan="2" |G
|1512.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1522.941-1582.941
|1555.556
|1560-1590
|}
 
{| class="wikitable" style="text-align: center"
|-
! rowspan="4" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="12" |Mixolydian
! colspan="3" rowspan="3" |Mixolydian-Ionian
|-
! colspan="3" rowspan="2" |Subpental
! colspan="3" rowspan="2" |Pental
! colspan="6" |Superpental
|-
! colspan="3" |Soft
! colspan="3" |Intense
|-
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
!Min-comma
!Med
!Max+comma
|-
| |1
| colspan="2" |F#/Gb
|102-104
|104.615
| colspan="2" |103-107
|105.263
| colspan="2" |104.667-108.667
|107.5
| colspan="2" |105.586-109.586
|108.9655
| colspan="2" |108.345-112.345
|110.588
|112-114
|-
| |2
| colspan="2" |G
|204-208
|209.231
| colspan="2" |206-214
|210.526
| colspan="2" |209.333-217.333
|215
| colspan="2" |211.172-219.172
|217.931
| colspan="2" |216.69-224.69
|221.1765
|224-228
|-
| |3
|G#/Jb
|''G#/Ab''
|306-312
|313.846
| colspan="2" |309-321
|315.7895
| colspan="2" |314-326
|322.5
| colspan="2" |316.759-328.759
|326.897
| colspan="2" |325.0345-337.0345
|331.765
|336-342
|-
| |4
|J
|''A''
|408-416
|418.4615
| colspan="2" |412-428
|421.053
| colspan="2" |418.667-432.667
|430
| colspan="2" |422.345-428.345
|435.862
| colspan="2" |433.379-449.379
|442.353
|448-456
|-
| |5
|A
|''B''
|510-520
|523.077
| colspan="2" |515-535
|526.316
| colspan="2" |523.333-543.333
|537.5
| colspan="2" |527.931-547.931
|544.828
| colspan="2" |541.724-561.724
|552.941
|560-570
|-
| |6
|A#/Bb
|''B#/Hb''
|612-624
|627.692
| colspan="2" |618-642
|631.579
| colspan="2" |628-652
|645
| colspan="2" |633.517-657.517
|653.793
| colspan="2" |650.069-674.069
|663.529
|672-684
|-
| |7
|B
|''H''
|714-728
|732.308
| colspan="2" |721-749
|736.842
| colspan="2" |732.667-760.667
|752.5
| colspan="2" |739.103-767.103
|762.759
| colspan="2" |758.414-796.414
|774.118
|784-798
|-
|8
|B#/Hb
|''H#/Cb''
|816-832
|836.923
| colspan="2" |824-856
|842.103
| colspan="2" |838.333-869.333
|860
| colspan="2" |844.69-876.69
|871.724
| colspan="2" |866.759-898.759
|884.706
|896-914
|-
|9
|H
|''C''
|918-936
|941.5385
| colspan="2" |927-963
|947.368
| colspan="2" |942-978
|967.5
| colspan="2" |950.276-986.276
|980.69
| colspan="2" |975.103-1001.103
|995.294
|1008-1026
|-
|10
|C
|''D''
|1020-1040
|1046.154
| colspan="2" |1030-1070
|1052.632
| colspan="2" |1046.667-1086.667
|1075
| colspan="2" |1055.862-1095.862
|1089.655
| colspan="2" |1083.448-1123.448
|1105.882
|1120-1140
|-
|11
|C#/Db
|''D#/Sb''
|1122-1144
|1150.769
| colspan="2" |1133-1177
|1157.895
| colspan="2" |1151.333-1195.333
|1182.5
| colspan="2" |1161.448-1205.448
|1198.621
| colspan="2" |1191.793-1335.793
|1216.471
|1232-1254
|-
|12
|D
|''S''
|1224-1248
|1255.385
| colspan="2" |1236-1284
|1263.158
| colspan="2" |1256-1304
|1290
| colspan="2" |1267.0345-1315.0345
|1307.586
| colspan="2" |1300.138-1348.138
|1327.059
|1344-1368
|-
|13
|D#/Eb
|''S#/Eb''
|1326-1352
|1360
| colspan="2" |1339-1391
|1368.421
| colspan="2" |1360.667-1412.667
|1397.5
| colspan="2" |1372.621-1424.621
|1416.552
| colspan="2" |1408.483-1460.483
|1437.647
|1456-1482
|-
|14
| colspan="2" |E
|1428-1456
|1464.615
| colspan="2" |1442-1498
|1473.684
| colspan="2" |1465.333-1521.333
|1505
| colspan="2" |1478.207-1534.207
|1525.517
| colspan="2" |1516.828-1572.828
|1548.235
|1568-1596
|-
|15
| colspan="2" |F
|1530-1560
|1369.231
| colspan="2" |1545-1605
|1578.947
| colspan="2" |1570-1630
|1612.5
| colspan="2" |1583.793-1643.793.
|1634.483
| colspan="2" |1625.172-1685.172
|1658.8235
|1680-1710
|}
 
Relative cents
 
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="2" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
| |1
|G#/Jb
|''G#/Ab''
|96.667
|100
|-
| |2
|J
|''A''
|193.333
|200
|-
| |3
|J#/Ab
|''A#/Bb''
|290
|300
|-
| |4
|A
|''B''
|386.667
|400
|-
| |5
|B
|''C''
|483.333
|500
|-
| |6
|B#/Cb
|''C#/Qb''
|580
|600
|-
| |7
|C
|''Q''
|676.667
|700
|-
|8
|C#/Qb
|''Q#/Db''
|773.333
|800
|-
|9
|Q
|''D''
|870
|900
|-
|10
|D
|''S''
|966.667
|1000
|-
|11
|D#/Eb
|''S#/Eb''
|1063.333
|1100
|-
|12
| colspan="2" |E
|1160
|1200
|-
|13
| colspan="2" |E#/Fb
|1256.667
|1300
|-
|14
| colspan="2" |F
|1353.333
|1400
|-
|15
| colspan="2" |G
|1450
|1500
|}
 
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="2" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| |1
| colspan="2" |F#/Gb
|106.667
|110
|-
| |2
| colspan="2" |G
|213.333
|220
|-
| |3
|G#/Jb
|''G#/Ab''
|320
|330
|-
| |4
|J
|''A''
|426.667
|440
|-
| |5
|A
|''B''
|533.333
|550
|-
| |6
|A#/Bb
|''B#/Hb''
|640
|660
|-
| |7
|B
|''H''
|746.667
|770
|-
|8
|B#/Hb
|''H#/Cb''
|853.333
|880
|-
|9
|H
|''C''
|960
|990
|-
|10
|C
|''D''
|1066.667
|1100
|-
|11
|C#/Db
|''D#/Sb''
|1173.333
|1210
|-
|12
|D
|''S''
|1280
|1320
|-
|13
|D#/Eb
|''S#/Eb''
|1386.667
|1430
|-
|14
| colspan="2" |E
|1493.333
|1540
|-
|15
| colspan="2" |F
|1600
|1650
|}
 
Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Enneatonic
! rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" |Dorian
|-
!Subpental
!Pental
!Superpental
|-
|-
| |1
| |1
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
| |96
|96.457-98.19
|96.457-98.19
|''96.667''
| colspan="2" |97.778
|97.39-99.123
|97.39-99.123
| colspan="2" |''100''
|100.618-102.351
|100.618-102.351
| colspan="2" |101.818
|101.245-102.978
|101.245-102.978
|102.857
|-
|-
| |2
| |2
|J
|J
|''A''
|''A''
| |192
|192.913-196.38
|192.913-196.38
|''193.333''
| colspan="2" |195.556
|194.78-198.247
|194.78-198.247
| colspan="2" |''200''
|201.236-204.702
|201.236-204.702
| colspan="2" |203.636
|202.49-205.956
|202.49-205.956
|205.714
|-
|-
| |3
| |3
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
| |288
|289.37-294.57
|289.37-294.57
|''290''
| colspan="2" |293.333
|292.17-297.37
|292.17-297.37
| colspan="2" |''300''
|301.854-204.702
|301.854-204.702
| colspan="2" |305.4545
|303.734-308.934
|303.734-308.934
|308.571
|-
|-
| |4
| |4
|J
|A
|''B''
|''B''
| |384
|385.829-392.76
|385.829-392.76
|''386.667''
| colspan="2" |391.111
|389.56-396.493
|389.56-396.493
| colspan="2" |''400''
|402.4715-307.054
|402.4715-307.054
| colspan="2" |407.273
|404.979-411.9215
|404.979-411.9215
|411.429
|-
|-
| |5
| |5
|A
|B
|''C''
|''C''
| |480
|482.284-490.95
|482.284-490.95
|''483.333''
| colspan="2" |488.889
|486.95-495.617
|486.95-495.617
| colspan="2" |''500''
|503.089-511.756
|503.089-511.756
| colspan="2" |509.091
|509.502-514.891
|509.502-514.891
|514.286
|-
|-
| |6
| |6
|A#/Bb
|B#/Cb
|''C#/Qb''
|''C#/Qb''
| |576
|578.74-589.14
|578.74-589.14
|''580''
| colspan="2" |586.667
|584.334-594.74
|584.334-594.74
| colspan="2" |''600''
|603.707-614.107
|603.707-614.107
| colspan="2" |610.909
|607.469-617.869
|607.469-617.869
|617.143
|-
|-
| |7
| |7
|B
|C
|''Q''
|''Q''
| |672
|675.197-687.33
|675.197-687.33
|''676.667''
| colspan="2" |684.444
|681.73-693.863
|681.73-693.863
| colspan="2" |''700''
|704.325-716.4585
|704.325-716.4585
| colspan="2" |712.727
|708.7135-720.847
|708.7135-720.847
|720
|-
|-
|8
|8
|B#/Cb
|C#/Qb
|''Q#/Db''
|''Q#/Db''
|768
|771.654-785.52
|771.654-785.52
|''773.333''
| colspan="2" |782.822
|779.12-792.9865
|779.12-792.9865
| colspan="2" |''800''
|804.943-818.81
|804.943-818.81
| colspan="2" |814.5455
|809.958-823.825
|809.958-823.825
|822.857
|-
|-
|9
|9
|C
|Q
|''D''
|''D''
|864
|868.1105-883.7105
|868.1105-883.7105
|''870''
| colspan="2" |880
|876.51-892.11
|876.51-892.11
| colspan="2" |''900''
|905.561-921.161
|905.561-921.161
| colspan="2" |916.364
|911.203-926.823
|911.203-926.823
|925.714
|-
|-
|10
|10
|D
|D
|''S''
|''S''
|960
|964.567-981.901
|964.567-981.901
|''966.667''
| colspan="2" |977.778
|973.9-991.233
|973.9-991.233
| colspan="2" |''1000''
|1006.179-1023.512
|1006.179-1023.512
| colspan="2" |1018.182
|1012.448-1029.781
|1012.448-1029.781
|1028.571
|-
|-
|11
|11
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1056
|1061.024-1080.091
|1061.024-1080.091
|''1063.333''
| colspan="2" |1075.556
|1071.39-1090.356
|1071.39-1090.356
| colspan="2" |''1100''
|1106.797-1125.863
|1106.797-1125.863
| colspan="2" |1120
|1113.693-1132.759
|1113.693-1132.759
|1131.429
|-
|-
|12
|12
| colspan="2" |E
| colspan="2" |E
|1152
|1157.481-1178.281
|1157.481-1178.281
|''1160''
| colspan="2" |1173.333
|1168.68-1189.48
|1168.68-1189.48
| colspan="2" |''1200''
|1207.4145-1228.2145
|1207.4145-1228.2145
| colspan="2" |1221.818
|1214.9375-1235.7375
|1214.9375-1235.7375
|1234.286
|-
|-
|13
|13
| colspan="2" |E#/Fb
| colspan="2" |E#/Fb
|1248
|1253.937-1276.471
|1253.937-1276.471
|''1256.667''
| colspan="2" |1271.111
|1266.07-1288.603
|1266.07-1288.603
| colspan="2" |''1300''
|1308.032-1330.566
|1308.032-1330.566
| colspan="2" |1323.636
|1316.182-1338.716
|1316.182-1338.716
|1337.143
|-
|-
|14
|14
| colspan="2" |F
| colspan="2" |F
|1344
|1350.394-1374.661
|1350.394-1374.661
|''1353.333''
| colspan="2" |1368.889
|1363.46-1387.726
|1363.46-1387.726
| colspan="2" |''1400''
|1408.65-1432.917
|1408.65-1432.917
| colspan="2" |1425.4545
|1417.427-1441.694
|1417.427-1441.694
|1440
|-
|-
|15
|15
| colspan="2" |G
| colspan="2" |G
|1440
|1446.851-1472.851
|1446.851-1472.851
|''1450''
| colspan="2" |1466.667
|1460.85-1486.85
|1460.85-1486.85
| colspan="2" |''1500''
|1509.268-1535.268
|1509.268-1535.268
| colspan="2" |1527.273
|1518.672-1544.672
|1518.672-1544.672
|1542.857
|}
|}


Line 235: Line 959:
!Degrees
!Degrees
! colspan="4" |Enneatonic
! colspan="4" |Enneatonic
!Min
!Mohajira
!Golden±13¢
!Beatles
!''r¢''
!Max
|-
|-
| |1
| |1
Line 244: Line 966:
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
|102.857
|102.526-104.26
|102.788-104.5215
|102.788-104.5215
|''103.333''
|104
|-
|-
| |2
| |2
Line 253: Line 973:
|J
|J
|''A''
|''A''
|205.714
|205.053-208.519
|205.576-209.043
|205.576-209.431
|''206.667''
|208
|-
|-
| |3
| |3
Line 263: Line 981:
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
|308.571
|307.579-312.779.
|308.365-313.565
|308.365-313.565
|''310''
|312
|-
|-
| |4
| |4
|J
|J
|''A''
|''A''
|J
|A
|''B''
|''B''
|411.429
|410.1055-417.099
|411.153-418.086
|411.153-418.086
|''413.333''
|416
|-
|-
| |5
| |5
|A
|A
|''B''
|''B''
|A
|B
|''C''
|''C''
|514.286
|512.632-521.2985
|513.941-526.308
|513.941-522.607
|''516.667''
|520
|-
|-
| |6
| |6
|A#/Bb
|A#/Bb
|''B#/Hb''
|''B#/Hb''
|A#/Bb
|B#/Cb
|''C#/Qb''
|''C#/Qb''
|617.143
|615.158-625.558
|616.729-627.129
|616.729-627.129
|''620''
|624
|-
|-
| |7
| |7
|B
|B
|''H''
|''H''
|B
|C
|''Q''
|''Q''
|720
|717.685-729.818
|719.5175-731.651
|719.5175-731.651
|''723.333''
|728
|-
|-
|8
|8
|B#/Hb
|B#/Hb
|''H#/Cb''
|''H#/Cb''
|B#/Cb
|C#/Qb
|''Q#/Db''
|''Q#/Db''
|822.857
|820.211-834.078
|822.306-836.172
|822.306-836.172
|''826.667''
|832
|-
|-
|9
|9
|H
|H
|''C''
|''C''
|C
|Q
|''D''
|''D''
|925.714
|922.737-938.337
|925.094-940.694
|925.094-940.694
|''930''
|936
|-
|-
|10
|10
Line 333: Line 1,037:
|D
|D
|''S''
|''S''
|1028.571
|1025.264-1042.597
|1027.882-1045.2155
|1027.882-1045.215
|''1033.333''
|1040
|-
|-
|11
|11
Line 343: Line 1,045:
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1131.429
|1127.79-1146.857
|1130.67-1149.737
|1130.67-1149.737
|''1136.667''
|1144
|-
|-
|12
|12
Line 352: Line 1,052:
|''S''
|''S''
| colspan="2" |E
| colspan="2" |E
|1234.286
|1230.316-1251.116
|1233.459-1254.259
|1233.459-1254.259
|''1240''
|1248
|-
|-
|13
|13
Line 361: Line 1,059:
|''S#/Eb''
|''S#/Eb''
| colspan="2" |E#/Fb
| colspan="2" |E#/Fb
|1337.143
|1332.843-1355.376
|1336.247-1358.78
|1336.247-1358.78
|''1343.333''
|1352
|-
|-
|14
|14
| colspan="2" |E
| colspan="2" |E
| colspan="2" |F
| colspan="2" |F
|1440
|1435.369-1459.666
|1439.035-1463.302
|1439.035-1463.302
|''1446.667''
|1456
|-
|-
|15
|15
| colspan="2" |F
| colspan="2" |F
| colspan="2" |G
| colspan="2" |G
|1542.857
|1537.8955-1563.8955
|1541.823-1567.823
|1541.823-1577.823
|''1550''
|1560
|}
|}


{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Enneatonic
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="4" |Degrees
! rowspan="2" |Subpental
! colspan="2" rowspan="4" |Enneatonic
! rowspan="2" |Pental
! colspan="13" |Mixolydian
! colspan="2" |Superpental
! colspan="3" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="3" rowspan="2" |Subpental
!Soft
! colspan="3" rowspan="2" |Pental
!Intense
! colspan="7" |Superpental
|-
! colspan="3" |Soft
! colspan="4" |Intense
|-
! width="4%" | Min
!Golden±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
!''r¢''
! width="4%" | Max
!Min
!Golden±13¢
!Max
|-
|-
| |1
| |1
| colspan="2" |F#/Gb
| colspan="2" |F#/Gb
|104
|103.855-105.788
|103.855-105.788
| colspan="2" |105
|104.306-106.04
|104.306-106.04
| colspan="2" |''106.667''
|106.664-108.398
|106.664-108.398
| colspan="2" |107.586
|108.4245-110.158
|108.4245-110.158
|''110''
| colspan="2" |110.345
|109.6375-111.371
|109.6375-111.371
|112
|-
|-
| |2
| |2
| colspan="2" |G
| colspan="2" |G
|208
|207.709-211.576
|207.709-211.576
| colspan="2" |210
|208.613-212.08
|208.613-212.08
| colspan="2" |''213.333''
|213.329-216.795
|213.329-216.795
| colspan="2" |215.172
|216.849-220.316
|216.849-220.316
|''220''
| colspan="2" |220.69
|219.275-222.742
|219.275-222.742
|224
|-
|-
| |3
| |3
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
|312
|311.564-317.364
|311.564-317.364
| colspan="2" |315
|312.919-318.119
|312.919-318.119
| colspan="2" |''320''
|319.993-325.193
|319.993-325.193
| colspan="2" |322.759
|325.273-330.473
|325.273-330.473
|''330''
| colspan="2" |331.034
|328.913-334.113
|328.913-334.113
|336
|-
|-
| |4
| |4
|J
|J
|''A''
|''A''
|416
|415.419-423.152
|415.419-423.152
| colspan="2" |420
|417.226-424.159
|417.226-424.159
| colspan="2" |''426.667''
|426.657-433.5905
|426.657-433.5905
| colspan="2" |430.345
|433.698-440.631
|433.698-440.631
|''440''
| colspan="2" |441.379
|438.55-445.4835
|438.55-445.4835
|448
|-
|-
| |5
| |5
|A
|A
|''B''
|''B''
|520
|519.2735-528.94
|519.2735-528.94
| colspan="2" |525
|521.532-530.199
|521.532-530.199
| colspan="2" |''533.333''
|533.321-541.988
|533.321-541.988
| colspan="2" |537.931
|542.122-550.789
|542.122-550.789
|''550''
| colspan="2" |551.724
|548.188-556.854
|548.188-556.854
|560
|-
|-
| |6
| |6
|A#/Bb
|A#/Bb
|''B#/Hb''
|''B#/Hb''
|624
|623.128-634.728
|623.128-634.728
| colspan="2" |630
|625.8385-636.238
|625.8385-636.238
| colspan="2" |''640''
|639.987-650.386
|639.987-650.386
| colspan="2" |645.517
|650.547-660.947
|650.547-660.947
|''660''
| colspan="2" |662.069
|657.825-668.225
|657.825-668.225
|672
|-
|-
| |7
| |7
|B
|B
|''H''
|''H''
|728
|726.983-740.516
|726.983-740.516
| colspan="2" |735
|730.145-742.278
|730.145-742.278
| colspan="2" |''746.667''
|746.65-758.783
|746.65-758.783
| colspan="2" |753.103
|758.971-771.105
|758.971-771.105
|''770''
| colspan="2" |772.414
|767.463-779.596
|767.463-779.596
|784
|-
|-
|8
|8
|B#/Hb
|B#/Hb
|''H#/Cb''
|''H#/Cb''
|832
|830.8375-844.704
|830.8375-844.704
| colspan="2" |840
|834.451-848.318
|834.451-848.318
| colspan="2" |''853.333''
|853.314-867.181
|853.314-867.181
| colspan="2" |860.69
|867.396-881.262
|867.396-881.262
|''880''
| colspan="2" |882.759
|877.1-890.967
|877.1-890.967
|896
|-
|-
|9
|9
|H
|H
|''C''
|''C''
|936
|934.693-952.092
|934.693-952.092
| colspan="2" |945
|938.758-954.358
|938.758-954.358
| colspan="2" |''960''
|959.9785-975.5785
|959.9785-975.5785
| colspan="2" |968.276
|975.82-991.42
|975.82-991.42
|''990''
| colspan="2" |993.103
|986.738-1002.338
|986.738-1002.338
|1008
|-
|-
|10
|10
|C
|C
|''D''
|''D''
|1040
|1038.547-1057.88
|1038.547-1057.88
| colspan="2" |1050
|1043.064-1060.3975
|1043.064-1060.3975
| colspan="2" |''1066.667''
|1066.643-1083.976
|1066.643-1083.976
| colspan="2" |1075.862
|1084.245-1101.578
|1084.245-1101.578
|''1100''
| colspan="2" |1103.448
|1096.3755-1113.709
|1096.3755-1113.709
|1120
|-
|-
|11
|11
|C#/Db
|C#/Db
|''D#/Sb''
|''D#/Sb''
|1144
|1142.402-1163.668
|1142.402-1163.668
| colspan="2" |1155
|1147.3705-1166.437
|1147.3705-1166.437
| colspan="2" |''1173.333''
|1173.307-1192.374
|1173.307-1192.374
| colspan="2" |1183.448
|1192.669-1211.736
|1192.669-1211.736
|''1210''
| colspan="2" |1213.379
|1206.013-1225.08
|1206.013-1225.08
|1232
|-
|-
|12
|12
|D
|D
|''S''
|''S''
|1248
|1246.256-1269.456
|1246.256-1269.456
| colspan="2" |1260
|1251.677-1272.477
|1251.677-1272.477
| colspan="2" |''1280''
|1279.971-1300.771
|1279.971-1300.771
| colspan="2" |1291.034
|1301.0395-1321.8935
|1301.0395-1321.8935
|''1320''
| colspan="2" |1324.138
|1315.651-1336.451
|1315.651-1336.451
|1344
|-
|-
|13
|13
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1352
|1353.111-1275.244
|1353.111-1275.244
| colspan="2" |1365
|1355.983-1378.517
|1355.983-1378.517
| colspan="2" |''1386.667''
|1386.636-1409.169
|1386.636-1409.169
| colspan="2" |1398.621
|1409.518-1425.288
|1409.518-1425.288
|''1430''
| colspan="2" |1424.483
|1438.993-1447.8215
|1438.993-1447.8215
|1456
|-
|-
|14
|14
| colspan="2" |E
| colspan="2" |E
|1456
|1453.966-1481.032
|1453.966-1481.032
| colspan="2" |1470
|1460.29-1484.556
|1460.29-1484.556
| colspan="2" |''1493.333''
|1493.3-1517.567
|1493.3-1517.567
| colspan="2" |1506.207
|1517.9425-1534.926
|1517.9425-1534.926
|''1540''
| colspan="2" |1544.827
|1541.778-1559.192
|1541.778-1559.192
|1568
|-
|-
|15
|15
| colspan="2" |F
| colspan="2" |F
|1560
|1557.82-1583.82
|1557.82-1583.82
| colspan="2" |1575
|1564.596-1590.596
|1564.596-1590.596
| colspan="2" |''1600''
|1599.964-1625.964
|1599.964-1625.964
| colspan="2" |1613.793
|1626.366-1652.366
|1626.366-1652.366
|''1650''
| colspan="2" |1655.172
|1644.563-1670.563
|1644.563-1670.563
|1680
|}
|}


Revision as of 02:59, 2 June 2019

15edX is the scale which occurs as the dominant minor edX.

Intervals

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 G#/Jb G#/Ab 94-96 97.143 95.778-99.778 98.4615 98-102 101.333 99.818-103.818 102.222 102.857-104.857
2 J A 188-192 194.286 191.556-199.556 196.923 196-204 202.667 199.636-207.636 204.444 205.714-209.714
3 J#/Ab A#/Bb 282-288 291.429 287.333-299.333 295.385 294-306 304 299.4545-311.4545 306.667 308.571-314.571
4 A B 376-384 388.571 383.111-399.111 393.846 392-408 405.333 399.273-415.273 408.889 411.429-419.429
5 B C 470-480 485.714 478.889-498.889 492.308 490-510 506.667 499.091-519.091 511.111 504.286-514.286
6 B#/Cb C#/Qb 564-576 582.857 574.889-598.889 590.769 588-612 608 598.909-622.909 613.333 617.143-629.143
7 C Q 658-672 680 670.444-698.444 689.231 686-714 709.333 698.727-726.727 715.556 720-734
8 C#/Qb Q#/Db 752-768 757.143 766.222-798.222 787.692 784-816 810.667 798.5455-830.5455 817.778 822.857-838.857
9 Q D 846-864 874.286 862-898 886.154 882-918 912 898.364-934.364 920 925.714-943.714
10 D S 940-960 971.429 957.778-997.778 984.615 980-1020 1013.333 998.182-1038.182 1022.222 1028.571-1048.571
11 D#/Eb S#/Eb 1034-1056 1068.571 1053.556-1097.778 1083.077 1078-1132 1114.667 1098-1142 1124.444 1131.429-1153.429
12 E 1128-1152 1165.714 1149.333-1197.333 1181.5385 1176-1224 1216 1197.818-1245.818 1226.667 1234.286-1258.286
13 E#/Fb 1222-1248 1362.857 1245.111-1297.111 1280 1274-1326 1317.333 1297.636-1349.636 1328.889 1337.143-1363.143
14 F 1316-1344 1360 1340.889-1396.889 1378.4615 1372-1428 1418.667 1397.4545-1453.4545 1431.111 1440-1468
15 G 1410-1440 1457.143 1436.667-1496.667 1476.923 1470-1530 1520 1497.273-1557.273 1533.333 1542.857-1572.857
Degrees Enneatonic Mohajira Beatles
Min-comma r¢ Med Max+comma Min-comma Med Max+comma
1 F#/Gb G#/Jb G#/Ab 100.857-102.857 103.333 101.529-105.529 103.704 104-106
2 G J A 201.714-205.714 206.667 203.059-211.059 207.407 208-212
3 G#/Jb G#/Ab J#/Ab A#/Bb 302.571-308.571 310 304.588-316.588 311.111 312-318
4 J A A B 403.429-411.429 413.333 406.118-422.118 414.815 416-424
5 A B B C 504.286-514.286 516.667 507.647-527.647 518.5185 520-530
6 A#/Bb B#/Hb B#/Cb C#/Qb 605.143-617.143 620 609.1765-633.1765 622.222 624-636
7 B H C Q 706-720 723.333 710.706-738.706 725.926 728-742
8 B#/Hb H#/Cb C#/Qb Q#/Db 806.857-822.857 826.667 812.235-844.235 829.63 832-848
9 H C Q D 908.714-925.714 930 913.765-949.765 933.333 936-954
10 C D D S 1028.571-1048.571 1033.333 1015.294-1055.294 1037.037 1040-1060
11 C#/Db D#/Sb D#/Eb S#/Eb 1109.429-1131.429 1136.667 1116.8235-1160.8235 1140.741 1144-1166
12 D S E 1210.286-1234.286 1240 1218.353-1266.353 1244.444 1248-1272
13 D#/Eb S#/Eb E#/Fb 1311.143-1337.143 1343.333 1345.882-1397.882 1348.148 1352-1378
14 E F 1412-1440 1446.667 1421.412-1477.412 1451.852 1456-1484
15 F G 1512.857-1542.857 1550 1522.941-1582.941 1555.556 1560-1590
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 F#/Gb 102-104 104.615 103-107 105.263 104.667-108.667 107.5 105.586-109.586 108.9655 108.345-112.345 110.588 112-114
2 G 204-208 209.231 206-214 210.526 209.333-217.333 215 211.172-219.172 217.931 216.69-224.69 221.1765 224-228
3 G#/Jb G#/Ab 306-312 313.846 309-321 315.7895 314-326 322.5 316.759-328.759 326.897 325.0345-337.0345 331.765 336-342
4 J A 408-416 418.4615 412-428 421.053 418.667-432.667 430 422.345-428.345 435.862 433.379-449.379 442.353 448-456
5 A B 510-520 523.077 515-535 526.316 523.333-543.333 537.5 527.931-547.931 544.828 541.724-561.724 552.941 560-570
6 A#/Bb B#/Hb 612-624 627.692 618-642 631.579 628-652 645 633.517-657.517 653.793 650.069-674.069 663.529 672-684
7 B H 714-728 732.308 721-749 736.842 732.667-760.667 752.5 739.103-767.103 762.759 758.414-796.414 774.118 784-798
8 B#/Hb H#/Cb 816-832 836.923 824-856 842.103 838.333-869.333 860 844.69-876.69 871.724 866.759-898.759 884.706 896-914
9 H C 918-936 941.5385 927-963 947.368 942-978 967.5 950.276-986.276 980.69 975.103-1001.103 995.294 1008-1026
10 C D 1020-1040 1046.154 1030-1070 1052.632 1046.667-1086.667 1075 1055.862-1095.862 1089.655 1083.448-1123.448 1105.882 1120-1140
11 C#/Db D#/Sb 1122-1144 1150.769 1133-1177 1157.895 1151.333-1195.333 1182.5 1161.448-1205.448 1198.621 1191.793-1335.793 1216.471 1232-1254
12 D S 1224-1248 1255.385 1236-1284 1263.158 1256-1304 1290 1267.0345-1315.0345 1307.586 1300.138-1348.138 1327.059 1344-1368
13 D#/Eb S#/Eb 1326-1352 1360 1339-1391 1368.421 1360.667-1412.667 1397.5 1372.621-1424.621 1416.552 1408.483-1460.483 1437.647 1456-1482
14 E 1428-1456 1464.615 1442-1498 1473.684 1465.333-1521.333 1505 1478.207-1534.207 1525.517 1516.828-1572.828 1548.235 1568-1596
15 F 1530-1560 1369.231 1545-1605 1578.947 1570-1630 1612.5 1583.793-1643.793. 1634.483 1625.172-1685.172 1658.8235 1680-1710

Relative cents

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
1 G#/Jb G#/Ab 96.667 100
2 J A 193.333 200
3 J#/Ab A#/Bb 290 300
4 A B 386.667 400
5 B C 483.333 500
6 B#/Cb C#/Qb 580 600
7 C Q 676.667 700
8 C#/Qb Q#/Db 773.333 800
9 Q D 870 900
10 D S 966.667 1000
11 D#/Eb S#/Eb 1063.333 1100
12 E 1160 1200
13 E#/Fb 1256.667 1300
14 F 1353.333 1400
15 G 1450 1500
Degrees Enneatonic Subpental-Soft Superpental Mixolydian Intense Superpental Mixolydian ~ Mixolydian-Ionian
1 F#/Gb 106.667 110
2 G 213.333 220
3 G#/Jb G#/Ab 320 330
4 J A 426.667 440
5 A B 533.333 550
6 A#/Bb B#/Hb 640 660
7 B H 746.667 770
8 B#/Hb H#/Cb 853.333 880
9 H C 960 990
10 C D 1066.667 1100
11 C#/Db D#/Sb 1173.333 1210
12 D S 1280 1320
13 D#/Eb S#/Eb 1386.667 1430
14 E 1493.333 1540
15 F 1600 1650

Golden/Pyrite Tunings±13¢

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
1 G#/Jb G#/Ab 96.457-98.19 97.39-99.123 100.618-102.351 101.245-102.978
2 J A 192.913-196.38 194.78-198.247 201.236-204.702 202.49-205.956
3 J#/Ab A#/Bb 289.37-294.57 292.17-297.37 301.854-204.702 303.734-308.934
4 A B 385.829-392.76 389.56-396.493 402.4715-307.054 404.979-411.9215
5 B C 482.284-490.95 486.95-495.617 503.089-511.756 509.502-514.891
6 B#/Cb C#/Qb 578.74-589.14 584.334-594.74 603.707-614.107 607.469-617.869
7 C Q 675.197-687.33 681.73-693.863 704.325-716.4585 708.7135-720.847
8 C#/Qb Q#/Db 771.654-785.52 779.12-792.9865 804.943-818.81 809.958-823.825
9 Q D 868.1105-883.7105 876.51-892.11 905.561-921.161 911.203-926.823
10 D S 964.567-981.901 973.9-991.233 1006.179-1023.512 1012.448-1029.781
11 D#/Eb S#/Eb 1061.024-1080.091 1071.39-1090.356 1106.797-1125.863 1113.693-1132.759
12 E 1157.481-1178.281 1168.68-1189.48 1207.4145-1228.2145 1214.9375-1235.7375
13 E#/Fb 1253.937-1276.471 1266.07-1288.603 1308.032-1330.566 1316.182-1338.716
14 F 1350.394-1374.661 1363.46-1387.726 1408.65-1432.917 1417.427-1441.694
15 G 1446.851-1472.851 1460.85-1486.85 1509.268-1535.268 1518.672-1544.672
Degrees Enneatonic Mohajira Beatles
1 F#/Gb G#/Jb G#/Ab 102.526-104.26 102.788-104.5215
2 G J A 205.053-208.519 205.576-209.431
3 G#/Jb G#/Ab J#/Ab A#/Bb 307.579-312.779. 308.365-313.565
4 J A A B 410.1055-417.099 411.153-418.086
5 A B B C 512.632-521.2985 513.941-522.607
6 A#/Bb B#/Hb B#/Cb C#/Qb 615.158-625.558 616.729-627.129
7 B H C Q 717.685-729.818 719.5175-731.651
8 B#/Hb H#/Cb C#/Qb Q#/Db 820.211-834.078 822.306-836.172
9 H C Q D 922.737-938.337 925.094-940.694
10 C D D S 1025.264-1042.597 1027.882-1045.215
11 C#/Db D#/Sb D#/Eb S#/Eb 1127.79-1146.857 1130.67-1149.737
12 D S E 1230.316-1251.116 1233.459-1254.259
13 D#/Eb S#/Eb E#/Fb 1332.843-1355.376 1336.247-1358.78
14 E F 1435.369-1459.666 1439.035-1463.302
15 F G 1537.8955-1563.8955 1541.823-1577.823
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
1 F#/Gb 103.855-105.788 104.306-106.04 106.664-108.398 108.4245-110.158 109.6375-111.371
2 G 207.709-211.576 208.613-212.08 213.329-216.795 216.849-220.316 219.275-222.742
3 G#/Jb G#/Ab 311.564-317.364 312.919-318.119 319.993-325.193 325.273-330.473 328.913-334.113
4 J A 415.419-423.152 417.226-424.159 426.657-433.5905 433.698-440.631 438.55-445.4835
5 A B 519.2735-528.94 521.532-530.199 533.321-541.988 542.122-550.789 548.188-556.854
6 A#/Bb B#/Hb 623.128-634.728 625.8385-636.238 639.987-650.386 650.547-660.947 657.825-668.225
7 B H 726.983-740.516 730.145-742.278 746.65-758.783 758.971-771.105 767.463-779.596
8 B#/Hb H#/Cb 830.8375-844.704 834.451-848.318 853.314-867.181 867.396-881.262 877.1-890.967
9 H C 934.693-952.092 938.758-954.358 959.9785-975.5785 975.82-991.42 986.738-1002.338
10 C D 1038.547-1057.88 1043.064-1060.3975 1066.643-1083.976 1084.245-1101.578 1096.3755-1113.709
11 C#/Db D#/Sb 1142.402-1163.668 1147.3705-1166.437 1173.307-1192.374 1192.669-1211.736 1206.013-1225.08
12 D S 1246.256-1269.456 1251.677-1272.477 1279.971-1300.771 1301.0395-1321.8935 1315.651-1336.451
13 D#/Eb S#/Eb 1353.111-1275.244 1355.983-1378.517 1386.636-1409.169 1409.518-1425.288 1438.993-1447.8215
14 E 1453.966-1481.032 1460.29-1484.556 1493.3-1517.567 1517.9425-1534.926 1541.778-1559.192
15 F 1557.82-1583.82 1564.596-1590.596 1599.964-1625.964 1626.366-1652.366 1644.563-1670.563

By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of 34edo. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), 9ed(5/3)/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively.

Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/15edX&oldid=41869"