Xenharmonic Wiki

User:Moremajorthanmajor/15edX: Difference between revisions

← Older edit
VisualWikitext
No edit summary
 
(31 intermediate revisions by 5 users not shown)
Line 1: Line 1:
'''15edX''' is the scale which occurs as the dominant minor edX.
'''15edX''' is the scale which occurs as the dominant minor edX (equal division of a tenth interval). It also gives the period of the 15th-decade Alfincavallo branch of the Carrera temperament family.
==Intervals==
 
== Intervals ==
{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
|+
! colspan="2" rowspan="5" |Enneatonic
!Decade
! colspan="8" |Minor mode Middletown temperament
!Period
! colspan="2" |Neutral mode Middletown temperament
!Notes
! colspan="10" |Major mode Middletown temperament
|-
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
|6\5
! colspan="6" |Dorian
|96.000
! colspan="2" rowspan="3" |Dorian-Mixolydian
|Intense Aeolian-Subpental Dorian mode begins
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
|17\14
! colspan="2" rowspan="2" |Pental
|97.143
! colspan="2" rowspan="2" |Superpental
|
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
|-
! colspan="2" |Soft
|11\9
! colspan="2" |Intense
|97.778
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|-
! |Minimum
|16\13
! |Maximum
|98.462
!Minimum
|
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
|-
| |1
|21\17
| colspan="2" |F#/Gb
|98.824
| |96
|
| colspan="2" |97.778
| colspan="2" |100
| colspan="2" |101.818
| colspan="2" |102.857
| colspan="2" |104
| colspan="2" |105
| colspan="2" |106.667
| colspan="2" |107.586
| colspan="2" |110.345
| |112
|-
|-
| |2
|26\21
| colspan="2" |G
|99.048
| |192
|
| colspan="2" |195.556
| colspan="2" |200
| colspan="2" |203.636
| colspan="2" |205.714
| colspan="2" |208
| colspan="2" |210
| colspan="2" |213.333
| colspan="2" |215.172
| colspan="2" |220.69
| |224
|-
|-
| |3
|5\4
|G#/Jb
|100.000
|''G#/Ab''
|Subpental Dorian mode ends, Pental Dorian mode begins
| |288
| colspan="2" |293.333
| colspan="2" |300
| colspan="2" |305.4545
| colspan="2" |308.571
| colspan="2" |312
| colspan="2" |315
| colspan="2" |320
| colspan="2" |322.759
| colspan="2" |331.034
| |336
|-
|-
| |4
|19\15
|J
|101.333
|''A''
|
| |384
| colspan="2" |391.111
| colspan="2" |400
| colspan="2" |407.273
| colspan="2" |411.429
| colspan="2" |416
| colspan="2" |420
| colspan="2" |426.667
| colspan="2" |430.345
| colspan="2" |441.379
| |448
|-
|-
| |5
|14\11
|A
|101.818
|''B''
|Pental Dorian mode ends, Superpental Dorian mode begins
| |480
| colspan="2" |488.889
| colspan="2" |500
| colspan="2" |509.091
| colspan="2" |514.286
| colspan="2" |520
| colspan="2" |525
| colspan="2" |533.333
| colspan="2" |537.931
| colspan="2" |551.724
| |560
|-
|-
| |6
|23\18
|A#/Bb
|102.222
|''B#/Hb''
|
| |576
| colspan="2" |586.667
| colspan="2" |600
| colspan="2" |610.909
| colspan="2" |617.143
| colspan="2" |624
| colspan="2" |630
| colspan="2" |640
| colspan="2" |645.517
| colspan="2" |662.069
| |672
|-
|-
| |7
|9\7
|B
|102.857
|''H''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| |672
| colspan="2" |684.444
| colspan="2" |700
| colspan="2" |712.727
| colspan="2" |720
| colspan="2" |728
| colspan="2" |735
| colspan="2" |746.667
| colspan="2" |753.103
| colspan="2" |772.414
| |784
|-
|-
|8
|31\24
|B#/Hb
|103.333
|''H#/Cb''
|
|768
| colspan="2" |782.822
| colspan="2" |800
| colspan="2" |814.5455
| colspan="2" |822.857
| colspan="2" |832
| colspan="2" |845
| colspan="2" |853.333
| colspan="2" |860.69
| colspan="2" |882.759
|896
|-
|-
|9
|22\17
|H
|103.529
|''C''
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|864
| colspan="2" |880
| colspan="2" |900
| colspan="2" |916.364
| colspan="2" |925.714
| colspan="2" |936
| colspan="2" |940
| colspan="2" |960
| colspan="2" |968.276
| colspan="2" |993.103
|1008
|-
|-
|10
|35\27
|C
|103.704
|''D''
|
|960
| colspan="2" |977.778
| colspan="2" |1000
| colspan="2" |1018.182
| colspan="2" |1028.571
| colspan="2" |1040
| colspan="2" |1050
| colspan="2" |1066.667
| colspan="2" |1075.862
| colspan="2" |1103.448
|1120
|-
|-
|11
|13\10
|C#/Db
|104.000
|''D#/Sb''
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|1056
| colspan="2" |1075.556
| colspan="2" |1100
| colspan="2" |1120
| colspan="2" |1131.429
| colspan="2" |1144
| colspan="2" |1155
| colspan="2" |1173.333
| colspan="2" |1183.448
| colspan="2" |1213.379
|1232
|-
|-
|12
|17\13
|D
|104.615
|''S''
|
|1152
| colspan="2" |1173.333
| colspan="2" |1200
| colspan="2" |1221.818
| colspan="2" |1234.286
| colspan="2" |1248
| colspan="2" |1260
| colspan="2" |1280
| colspan="2" |1291.034
| colspan="2" |1324.138
|1344
|-
|-
|13
|21\16
|D#/Eb
|105.000
|''S#/Eb''
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|1248
| colspan="2" |1271.111
| colspan="2" |1300
| colspan="2" |1323.636
| colspan="2" |1337.143
| colspan="2" |1352
| colspan="2" |1365
| colspan="2" |1386.667
| colspan="2" |1398.621
| colspan="2" |1424.483
|1456
|-
|-
|14
|25\19
| colspan="2" |E
|105.263
|1344
|
| colspan="2" |1368.889
| colspan="2" |1400
| colspan="2" |1425.4545
| colspan="2" |1440
| colspan="2" |1456
| colspan="2" |1470
| colspan="2" |1493.333
| colspan="2" |1506.207
| colspan="2" |1544.827
|1568
|-
|-
|15
|4\3
| colspan="2" |F
|106.667
|1440
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
| colspan="2" |1466.667
| colspan="2" |1500
| colspan="2" |1527.273
| colspan="2" |1542.857
| colspan="2" |1560
| colspan="2" |1575
| colspan="2" |1600
| colspan="2" |1613.793
| colspan="2" |1655.172
|1680
|}
 
Most harmonic tunings
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|31\23
! colspan="2" rowspan="2" |Enneatonic
|107.826
!Minor mode Middletown temperament
|
!Neutral mode Middletown temperament
!Major mode Middletown temperament
|-
|-
!7/3±13¢
|27\20
!22/9±13¢
|108.000
!5/2±13¢
|
|-
|-
|1
|23\17
| colspan="2" |F#/Gb
|108.235
|96.925-98.658
|
|102.294-104.027
|104.888-106.621
|-
|-
| |2
|19\14
| colspan="2" |G
|108.571
|193.8495-197.316
|
|204.588-208.054
|209.77-213.242
|-
|-
|3
|15\11
|G#/Jb
|109.091
|''G#/Ab''
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|290.774-295.974
|306.8815-312.0815
|314.663-319.863
|-
|-
| |4
|26\19
|J
|109.474
|''A''
|
|387.699-394.632
|409.1755-416.109
|419.559-426.484
|-
|-
| |5
|11\8
|A
|110.000
|''B''
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|484.624-493.29
|511.469-520.136
|524.438-533.105
|-
|-
|6
|18\13
|A#/Bb
|110.769
|''B#/Hb''
|
|581.548-591.948
|613.763-624.163
|629.3255-392.7255
|-
|-
| |7
|25\18
|B
|111.111
|''H''
|
|678.473-690.606
|716.057-728.19
|734.213-746.346
|-
|-
|8
|7\5
|B#/Hb
|112.500
|''H#/Cb''
|Mixolydian-Ionian mode ends
|775.398-789.2645
|}
|818.351-832.218
Relative cents
|839.101-852.967
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="2" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian-Mixolydian
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
|-
|9
| |1
|H
|''C''
|872.3225-887.9225
|920.645-936.245
|943.988-959.588
|-
|10
|C
|''D''
|969.247-986.561
|1022.939-1040.272
|1048.876-1066.209
|-
| |11
|C#/Db
|''D#/Sb''
|1066.172-1085.239
|1125.2325-1144.299
|1153.763-1172.83
|-
|12
|D
|''S''
|1163.097-1183.897
|1227.526-1248.326
|1258.651-1279.451
|-
| |13
|D#/Eb
|''S#/Eb''
|1260.0215-1282.555
|1329.82-1352.3535
|1363.539-1386.072
|-
|14
| colspan="2" |E
|1356.946-1381.213
|1432.114-1456.381
|1468.426-1492.693
|-
|15
| colspan="2" |F
|1453.871-1479.871
|1534.408-1560.408
|1573.314-1599.314
|}Golden tunings
 
Minor mode Middletown temperament
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Enneatonic
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
! rowspan="2" |-13¢
! rowspan="2" |Mean
! rowspan="2" |-13¢ (s5D)
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
!+13¢ (A-D)
!Mean
!+13¢
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|1
| colspan="2" |F#/Gb
|96.457
|97.323
|97.39
|98.19
|98.257
|99.123
|100.618
|101.245
|101.4845
|102.1115
|102.351
|102.788
|-
|2
| colspan="2" |G
|192.913
|194.647
|194.78
|196.38
|196.513
|198.247
|201.236
|202.49
|202.969
|204.223
|204.702
|205.576
|-
|3
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
|289.37
|96.{{Overline|6}}
|291.97
|100
|292.17
|103.{{Overline|3}}
|294.57
|106.{{Overline|6}}
|294.77
|110
|297.37
|301.854
|303.734
|304.454
|306.334
|307.054
|308.365
|-
|-
|4
| |2
|J
|J
|''A''
|''A''
|385.829
|193.{{Overline|3}}
|389.294
|200
|389.56
|206.{{Overline|6}}
|392.76
|213.{{Overline|3}}
|394.027
|220
|396.493
|-
|402.4715
| |3
|404.979
|J#/Ab
|405.938
|''A#/Bb''
|408.446
|290
|409.405
|300
|411.153
|310
|320
|330
|-
|-
|5
| |4
|A
|A
|''B''
|''B''
|482.284
|386.{{Overline|6}}
|486.617
|400
|486.95
|413.{{Overline|3}}
|490.95
|426.{{Overline|6}}
|491.283
|440
|495.617
|503.089
|569.502
|507.423
|510.557
|511.756
|513.941
|-
|-
|6
| |5
|A#/Bb
|''B#/Hb''
|578.74
|583.94
|584.334
|589.14
|589.54
|594.74
|603.707
|607.469
|608.907
|612.669
|614.107
|616.729
|-
|7
|B
|B
|''H''
|''C''
|675.197
|483.{{Overline|3}}
|681.364
|500
|681.73
|516.{{Overline|6}}
|687.33
|533.{{Overline|3}}
|687.7965
|550
|693.863
|704.325
|708.7135
|710.392
|714.78
|716.4585
|719.5175
|-
|-
|8
| |6
|B#/Hb
|B#/Cb
|''H#/Cb''
|''C#/Qb''
|771.654
|580
|778.587
|600
|779.12
|620
|785.52
|640
|786.053
|660
|792.9865
|804.943
|809.958
|811.877
|816.892
|818.81
|822.306
|-
|-
|9
| |7
|H
|''C''
|868.1105
|875.9105
|876.51
|883.7105
|884.31
|892.11
|905.561
|911.203
|913.361
|919.003
|921.161
|925.094
|-
|10
|C
|C
|''D''
|''Q''
|964.567
|676.{{Overline|6}}
|973.234
|700
|973.9
|723.{{Overline|3}}
|981.901
|746.{{Overline|6}}
|982.5665
|770
|991.233
|1006.179
|1012.448
|1014.8455
|1021.115
|1023.512
|1027.882
|-
|11
|C#/Db
|''D#/Sb''
|1061.024
|1070.557
|1071.39
|1080.091
|1080.823
|1090.356
|1106.797
|1113.693
|1116.33
|1123.226
|1125.863
|1130.67
|-
|12
|D
|''S''
|1157.481
|1167.881
|1168.68
|1178.281
|1179.08
|1189.48
|1207.4145
|1214.9375
|1217.8145
|1225.3375
|1228.2145
|1233.459
|-
|13
|D#/Eb
|''S#/Eb''
|1253.937
|1265.204
|1266.07
|1176.471
|1277.336
|1288.603
|1308.032
|1316.182
|1319.299
|1327.449
|1330.566
|1336.247
|-
|14
| colspan="2" |E
|1350.394
|1362.527
|1363.46
|1374.661
|1375.593
|1387.726
|1408.65
|1417.427
|1420.783
|1429.56
|1432.917
|1439.035
|-
|15
| colspan="2" |F
|1446.851
|1459.851
|1460.85
|1472.851
|1473.85
|1486.85
|1509.268
|1518.672
|1522.268
|1531.672
|1535.268
|1541.823
|}Neutral (Dorian-Mixolydian) mode Middletown temperament
{| class="wikitable"
|-
!Degrees
! colspan="2" |Enneatonic
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
| colspan="2" |F#/Gb
|102.978
|103.655
|103.855
|-
|2
| colspan="2" |G
|205.956
|207.31
|207.709
|-
|3
|G#/Jb
|''G#/Ab''
|308.934
|310.965
|311.564
|-
|4
|J
|''A''
|411.9215
|414.6195
|415.419
|-
|5
|A
|''B''
|514.891
|518.274
|519.2735
|-
|6
|A#/Bb
|''B#/Hb''
|617.869
|621.929
|623.128
|-
|7
|B
|''H''
|720.847
|725.584
|726.983
|-
|-
|8
|8
|B#/Hb
|C#/Qb
|''H#/Cb''
|''Q#/Db''
|823.825
|773.{{Overline|3}}
|829.239
|800
|830.8375
|826.{{Overline|6}}
|853.{{Overline|3}}
|880
|-
|-
|9
|9
|H
|Q
|''C''
|''D''
|926.823
|870
|932.893
|900
|934.693
|930
|960
|990
|-
|-
|10
|10
|C
|''D''
|1029.781
|1036.549
|1038.547
|-
|11
|C#/Db
|''D#/Sb''
|1132.759
|1140.204
|1142.402
|-
|12
|D
|D
|''S''
|''S''
|1235.7375
|966.{{Overline|6}}
|1243.859
|1000
|1246.256
|1033.{{Overline|3}}
|1066.{{Overline|6}}
|1100
|-
|-
|13
|11
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1338.716
|1063.{{Overline|3}}
|1347.513
|1100
|1353.111
|1136.{{Overline|6}}
|1173.{{Overline|3}}
|1210
|-
|-
|14
|12
| colspan="2" |E
| colspan="2" |E
|1441.694
|1160
|1451.168
|1200
|1453.966
|1240
|-
|1280
|15
|1320
| colspan="2" |F
|1544.672
|1554.823
|1557.82
|}Major mode Middletown temperament
{| class="wikitable"
|+
|-
! rowspan="4" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="13" |Mixolydian
! colspan="2" |Mixolydian-Ionian
|-
! colspan="3" |Subpental
! colspan="4" |Pental
! colspan="6" |Superpental
! rowspan="3" |Mean
! rowspan="3" |+13¢
|-
! rowspan="2" |-13¢ (5)
! rowspan="2" |+13¢ (D-M)
! rowspan="2" |Mean
! rowspan="2" |Mean
! rowspan="2" |+13¢ (s5)
! rowspan="2" |+13¢
! rowspan="2" |-13¢ (Soft s5)
! rowspan="2" |Soft
! colspan="5" |Intense
|-
!+13¢ (Soft s5)
!-13¢
!Mean
!-13¢ (M-I)
!+13¢
|-
|1
| colspan="2" |F#/Gb
|104.306
|104.5215
|104.721
|105.173
|105.788
|106.04
|106.664
|107.531
|108.398
|108.4245
|109.291
|109.6375
|110.158
|110.504
|111.371
|-
|2
| colspan="2" |G
|208.613
|209.043
|209.443
|210.346
|211.576
|212.08
|213.329
|215.032
|216.795
|216.849
|218.582
|219.275
|220.316
|221.008
|222.742
|-
|3
|G#/Jb
|''G#/Ab''
|312.919
|313.565
|314.164
|315.519
|317.364
|318.119
|319.993
|322.593
|325.193
|325.273
|327.873
|328.913
|330.473
|331.613
|334.113
|-
|4
|J
|''A''
|417.226
|418.086
|418.885
|420.639
|423.152
|424.159
|426.657
|430.124
|433.5905
|433.698
|437.1345
|438.55
|440.631
|442.017
|445.4835
|-
|5
|A
|''B''
|521.532
|526.308
|523.607
|525.865
|528.94
|530.199
|533.321
|537.655
|541.988
|542.122
|546.456
|548.188
|550.789
|552.521
|556.854
|-
|6
|A#/Bb
|''B#/Hb''
|625.8385
|627.129
|628.328
|631.0385
|634.728
|636.238
|639.987
|645.186
|650.386
|650.547
|655.747
|657.825
|660.947
|663.025
|668.225
|-
|7
|B
|''H''
|730.145
|731.651
|733.0495
|736.212
|740.516
|742.278
|746.65
|752.717
|758.783
|758.971
|765.038
|767.463
|771.105
|773.5235
|779.596
|-
|8
|B#/Hb
|''H#/Cb''
|834.451
|836.172
|837.771
|841.385
|846.304
|853.314
|899.98
|867.181
|914.605
|867.396
|874.329
|877.1
|881.262
|884.033
|890.967
|-
|9
|H
|''C''
|938.758
|940.694
|942.492
|946.558
|952.092
|954.358
|999.978
|967.7785
|1016.228
|975.82
|983.62
|986.738
|991.42
|994.538
|1002.338
|-
|10
|C
|''D''
|1043.064
|1045.2155
|1047.214
|1051.731
|1057.88
|1060.3975
|1066.643
|1075.3095
|1083.976
|1084.245
|1092.911
|1096.3755
|1101.578
|1105.042
|1113.709
|-
|11
|C#/Db
|''D#/Sb''
|1147.3705
|1149.737
|1151.935
|1156.904
|1163.668
|1166.437
|1173.307
|1182.84
|1192.374
|1192.669
|1202.202
|1206.013
|1211.736
|1215.546
|1225.08
|-
|12
|D
|''S''
|1251.677
|1254.259
|1256.656
|1262.077
|1269.456
|1272.477
|1279.971
|1290.371
|1300.771
|1301.0395
|1311.4935
|1315.651
|1321.8935
|1326.051
|1336.451
|-
|-
|13
|13
|D#/Eb
| colspan="2" |E#/Fb
|''S#/Eb''
|1256.{{Overline|6}}
|1355.983
|1300
|1358.78
|1343.{{Overline|3}}
|1361.378
|1386.{{Overline|6}}
|1367.25
|1430
|1275.244
|1378.517
|1386.636
|1397.902
|1409.169
|1409.518
|1420.785
|1438.993
|1425.288
|1436.555
|1447.8215
|-
|-
|14
|14
| colspan="2" |E
| colspan="2" |F
|1460.29
|1353.{{Overline|3}}
|1463.302
|1400
|1466.099
|1446.{{Overline|6}}
|1472.423
|1493.{{Overline|3}}
|1481.032
|1540
|1484.556
|1493.3
|1505.433
|1517.567
|1517.9425
|1530.076
|1541.778
|1534.926
|1547.059
|1559.192
|-
|-
|15
|15
| colspan="2" |F
| colspan="2" |G
|1564.596
|1450
|1567.96
|1500
|1570.82
|1550
|1577.596
|1600
|1583.82
|1650
|1590.596
|}
|1599.964
 
|1612.964
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), [[9ed5/3|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), 4ed(9/7)/+1/36-syntonic comma 14ed(12/5) (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.
|1625.964
== See also ==
|1626.366
* [[15ed5/2]] - equal division of the classic major tenth
|1639.366
* [[15ed7/3]] - equal division of the septimal minor tenth
|1644.563
 
|1652.366
[[Category:15-tone scales]]
|1657.563
[[Category:EdX]]
|1670.563
|}By a surprising coincidence, the 15ed of the Golden tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Aeolian-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.
[[Category:15-tone]]
[[Category:ed7/3]]
[[Category:edX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/15edX"