This is the neutral scale of the Middletown temperament family.
Intervals
| Degrees
|
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
|
155.5-160
|
161.905
|
158.518-167.407
|
164.103
|
162.2-171.1
|
168.8
|
165.25-174.14
|
170.370
|
171.429-175.873
|
| 2
|
311.1-320
|
323.8095
|
317.037-334.814
|
328.205
|
324.4-342.2
|
337.7
|
330.50-348.28
|
340.740
|
342.857-351.746
|
| 3
|
466.6-480
|
485.714
|
475.5-502.2
|
492.308
|
486.6-513.3
|
506.6
|
495.75-522.42
|
511.1
|
514.286-527.619
|
| 4
|
622.2-640
|
647.619
|
634.074-669.629
|
656.41
|
648.8-684.4
|
675.5
|
661.01-696.56
|
681.481
|
685.714-703.492
|
| 5
|
777.7-800
|
809.524
|
792.592-837.037
|
820.512
|
811.1-855.5
|
844.4
|
826.26-870.70
|
851.851
|
857.143-878.365
|
| 6
|
943.3-960
|
971.429
|
951.1-1004.4
|
984.615
|
973.3-1026.6
|
1013.3
|
981.51-1044.84
|
1022.2
|
1028.571-1055.238
|
| 7
|
1088.8-1120
|
1133.3
|
1109.629-1171.851
|
1148.718
|
1135.5-1197.7
|
1182.2
|
1156.76.-1218.98
|
1192.592
|
1200-1231.1
|
| 8
|
1244.4-1280
|
1295.238
|
1238.148-1339.259
|
1312.8205
|
1297.7-1368.8
|
1351.1
|
1322.02-1392.12
|
1362.962
|
1371.429-1406.984
|
| Degrees
|
Mohajira
|
Beatles
|
| Min-comma
|
r¢
|
Med
|
Max+comma~Min-comma
|
Med
|
Max+comma
|
| 1
|
166.984-171.429
|
172.2
|
168.105-176.9935
|
172.8395
|
173.3-177.7
|
| 2
|
333.968-342.857
|
344.4
|
336.209-353.987
|
345.679
|
346.6-355.5
|
| 3
|
500.952-514.286
|
516.6
|
504.314-530.98
|
518.518
|
520-533.3
|
| 4
|
667.9365-685.714
|
688.8
|
672.418-707.974
|
691.358
|
693.3-711.1
|
| 5
|
834.921-857.143
|
861.1
|
840.523-885.967
|
864.1975
|
866.6-888.8
|
| 6
|
1001.904-1028.571
|
1033.3
|
1008.6275-1062.961
|
1037.037
|
1040-1066.6
|
| 7
|
1168.8-1200
|
1205.5
|
1176.732-1239.954
|
1209.8765
|
1213.3-1244.4
|
| 8
|
1335.873-1371.429
|
1377.7
|
1344.837-1416.948
|
1382.716
|
1386.6-1422.2
|
| Degrees
|
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
|
168.8-173.3
|
174.359
|
170.5-179.4
|
175.439
|
173.3-182.2
|
179.16
|
174.866-183.755
|
181.609
|
179.464-188.3525
|
184.314
|
186.6-191.1
|
| 2
|
337.7-346.6
|
348.718
|
341.1-358.8
|
350.877
|
346.6-364.4
|
358.3
|
349.732-367.51
|
363.218
|
368.927-376.705
|
[[1]]
|
373.3-382.2
|
| 3
|
506.6-520
|
523.077
|
511.6-538.3
|
526.316
|
520-546.6
|
537.5
|
524.598-551.264
|
544.828
|
538.391-565.0575
|
552.941
|
560-573.3
|
| 4
|
675.5-693.3
|
697.436
|
682.2-717.7
|
701.754
|
693.3-728.8
|
716.6
|
699.464-735.019
|
726.437
|
717.854-753.41
|
737.255
|
746.6-764.4
|
| 5
|
844.4-866.6
|
871.795
|
852.7-897.2
|
877.193
|
866.6-911.1
|
895.83
|
874.3295-918.774
|
908.046
|
897.318-942.7625
|
921.569
|
933.3-955.5
|
| 6
|
1013.3-1040
|
1046.154
|
1023.3-1076.6
|
1052.632
|
1040-1093.3
|
1075
|
1049.195-1102.529
|
1089.655
|
1076.782-1130.115
|
1105.882
|
1120-1146.6
|
| 7
|
1182.2-1213.3
|
1220.513
|
1193.8-1256.1
|
1228.07
|
1213.3-1275.5
|
1254.16
|
1224.061-1286.2835
|
1271.264
|
1256.245-1318.457
|
1290.196
|
1306.6-1337.7
|
| 8
|
1351.1-1386.6
|
1394.872
|
1364.4-1435.5
|
1403.509
|
1386.6-1457.7
|
1433.3
|
1398.927-1470.038
|
1452.874
|
1438.709-1506.82
|
1474.51
|
1493.3-1528.8
|
Relative cents
| Degrees
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
Subpental-Soft Superpental Mixolydian
|
Intense Superpental Mixolydian ~ Mixolydian-Ionian
|
| 1
|
161.1
|
166.6
|
177.7
|
183.3
|
| 2
|
322.2
|
333.3
|
355.5
|
366.6
|
| 3
|
483.3
|
500
|
533.3
|
550
|
| 4
|
644.4
|
666.6
|
711.1
|
733.3
|
| 5
|
805.5
|
833.3
|
888.8
|
916.6
|
| 6
|
966.6
|
1000
|
1066.6
|
1100
|
| 7
|
1127.7
|
1166.6
|
1244.4
|
1283.3
|
| 8
|
1288.8
|
1333.3
|
1422.2
|
1466.6
|
Golden/Pyrite Tunings±13¢
| Degrees
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
| Subpental
|
Pental
|
Superpental
|
| 1
|
160.761-163.65
|
162.317-165.2055
|
167.6965-170.585
|
168.741-171.63
|
| 2
|
321.522-327.3
|
364.633-330.411
|
335.393-341.171
|
337.483-343.36
|
| 3
|
482.284-490.95
|
486.95-495.617
|
503.089-511.756
|
506.224-514.891
|
| 4
|
643.045-654.6
|
649.2665-660.822
|
670.786-682.341
|
674.965-686.521
|
| 5
|
803.806-818.25
|
811.583-826.028
|
838.482-852.927
|
843.707-858.151
|
| 6
|
964.567-981.9
|
973.9-991.233
|
1006.179-1023.512
|
1012.448-1029.781
|
| 7
|
1125.328-1145.55
|
1136.216-1156.439
|
1173.875-1194.0975
|
1181.189-1201.411
|
| 8
|
1286.09-1309.2
|
1278.2435-1321.644
|
1341.572-1343.36
|
1349.9305-1373.042
|
| Degrees
|
Mohajira
|
Beatles
|
| 1
|
170.877-173.776
|
171.314-174.203
|
| 2
|
341.755-347.513
|
342.627-348.405
|
| 3
|
512.632-521.2985
|
513.941-522.607
|
| 4
|
683.509-695.065
|
685.255-696.81
|
| 5
|
854.386-868.831
|
856.568-870.112
|
| 6
|
1025.264-1042.597
|
1027.882-1045.215
|
| 7
|
1196.141-1216.363
|
1199.196-1219.418
|
| 8
|
1367.018-1389.119
|
1370.5095-1393.621
|
| Degrees
|
Mixolydian
|
Mixolydian-Ionian
|
| Subpental
|
Pental
|
Superpental
|
| Soft
|
Intense
|
| 1
|
173.091-175.98
|
173.844-176.733
|
177.774-180.663
|
180.707-183.596
|
182.729-185.618
|
| 2
|
346.182-351.96
|
347.688-353.466
|
355.548-361.325
|
361.415-367.193
|
365.4585-371.236
|
| 3
|
519.2735-527.94
|
521.532-530.199
|
533.321-541.988
|
542.122-550.789
|
548.188-556.854
|
| 4
|
692.365-703.92
|
695.376-706.932
|
711.095-722.651
|
722.83-734.385
|
730.917-742.4725
|
| 5
|
865.456-879.9
|
869.22-883.6645
|
888.896-903.3135
|
903.537-917.982
|
913.646-928.091
|
| 6
|
1038.547-1055.88
|
1043.064-1060.3975
|
1033.634-1083.976
|
1084.245-1101.578
|
1096.3755-1113.709
|
| 7
|
1211.638-1231.86
|
1216.908-1237.13
|
1244.417-1264.639
|
1264.952-1285.174
|
1279.105-1299.327
|
| 8
|
1384.729-1407.84
|
1390.752-1413.863
|
1422.19-1445.3015
|
1445.6595-1445.821
|
1461.834-1484.945
|
By a surprising coincidence, the 9ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every fifth degree of 34edo. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of 22edo, 4edf and equal multiples of 10/9 respectively.
See also
- 9ed5/2 - equal division of the classic major tenth
- 9ed7/3 - equal division of the septimal minor tent