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| ==Intervals== | | '''17edX''' means division of a tenth interval into 17 equal parts. |
| | |
| | == Intervals == |
| {| class="wikitable" | | {| class="wikitable" |
| ! rowspan="5" |Degrees | | ! Decade |
| ! colspan="4" rowspan="5" |Enneatonic
| | !Period |
| ! colspan="8" |Minor mode Middletown temperament
| | !Notes |
| ! colspan="2" |Neutral mode Middletown temperament
| | |- |
| ! colspan="10" |Major mode Middletown temperament
| | | 6\5 |
| | |''84.706'' |
| | |Intense Aeolian-Subpental Dorian mode begins |
| | |- |
| | |29\24 |
| | |''85.294'' |
| | | |
| | |- |
| | |23\19 |
| | |85.449 |
| | | |
| | |- |
| | |17\14 |
| | |85.714 |
| | | |
| | |- |
| | |11\9 |
| | |86.275 |
| | |Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins |
| |- | | |- |
| ! colspan="2" rowspan="3" |Aeolian-Dorian
| | |16\13 |
| ! colspan="6" |Dorian
| | |86.878 |
| ! colspan="2" rowspan="3" |Dorian-Mixolydian
| | | |
| ! colspan="8" |Mixolydian
| |
| ! colspan="2" rowspan="3" |Mixolydian-Ionian
| |
| |- | | |- |
| ! colspan="2" rowspan="2" |Subpental
| | |21\17 |
| ! colspan="2" rowspan="2" |Pental
| | |87.197 |
| ! colspan="2" rowspan="2" |Superpental
| | | |
| ! colspan="2" rowspan="2" |Subpental
| |
| ! colspan="2" rowspan="2" |Pental
| |
| ! colspan="4" |Superpental
| |
| |- | | |- |
| ! colspan="2" |Soft
| | |5\4 |
| ! colspan="2" |Intense
| | |''88.235'' |
| | |Subpental Dorian mode ends, Pental Dorian mode begins |
| |- | | |- |
| ! |Minimum
| | |24\19 |
| ! |Maximum
| | |89.164 |
| !Minimum
| | | |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| ! |Maximum
| |
| !Minimum
| |
| !Maximum
| |
| ! |Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| ! |Maximum
| |
| |- | | |- |
| | |1 | | |19\15 |
| | colspan="2" |G | | |89.412 |
| | colspan="2" |Gb | | | |
| | |84.706 | | |- |
| | colspan="2" |86.2745 | | |14\11 |
| | colspan="2" |88.235 | | |89.840 |
| | colspan="2" |89.84 | | |Pental Dorian mode ends, Superpental Dorian mode begins |
| | colspan="2" |90.756
| | |- |
| | colspan="2" |91.765 | | |23\18 |
| | colspan="2" |92.647 | | |90.196 |
| | colspan="2" |94.118 | | | |
| | colspan="2" |94.929 | | |- |
| | colspan="2" |97.363 | | |9\7 |
| | |98.8235
| | |90.756 |
| | |Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins |
| |- | | |- |
| | |2 | | |31\24 |
| |J\\
| | |''91.176'' |
| |''A\\'' | | | |
| | colspan="2" |F# | |
| | |169.412
| |
| | colspan="2" |172.549
| |
| | colspan="2" |176.471
| |
| | colspan="2" |179.679
| |
| | colspan="2" |181.513
| |
| | colspan="2" |183.528
| |
| | colspan="2" |185.294
| |
| | colspan="2" |188.235
| |
| | colspan="2" |189.858
| |
| | colspan="2" |194.726
| |
| | |197.647
| |
| |- | | |- |
| | |3 | | |22\17 |
| | colspan="2" |Gp
| | |91.349 |
| | colspan="2" |G
| | |Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins |
| | |254.118
| |
| | colspan="2" |258.8235
| |
| | colspan="2" |264.706
| |
| | colspan="2" |269.519
| |
| | colspan="2" |272.268
| |
| | colspan="2" |275.294
| |
| | colspan="2" |277.941 | |
| | colspan="2" |282.353 | |
| | colspan="2" |284.787
| |
| | colspan="2" |292.089
| |
| | |296.471
| |
| |- | | |- |
| | |4 | | |35\27 |
| |J
| | |91.503 |
| |A
| | | |
| |J
| |
| |''A''
| |
| | |338.8235
| |
| | colspan="2" |345.098
| |
| | colspan="2" |352.941
| |
| | colspan="2" |359.358
| |
| | colspan="2" |363.025
| |
| | colspan="2" |367.059
| |
| | colspan="2" |370.588
| |
| | colspan="2" |376.471
| |
| | colspan="2" |379.716
| |
| | colspan="2" |389.452 | |
| | |395.294 | |
| |- | | |- |
| | |5 | | |13\10 |
| |A
| | |91.765 |
| |''B''
| | |Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins |
| |Ab
| |
| |''Bb''
| |
| | |423.529
| |
| | colspan="2" |431.3725
| |
| | colspan="2" |441.1765
| |
| | colspan="2" |449.198
| |
| | colspan="2" |453.7815
| |
| | colspan="2" |458.8235
| |
| | colspan="2" |463.235
| |
| | colspan="2" |470.588
| |
| | colspan="2" |474.645
| |
| | colspan="2" |486.815 | |
| | |494.118 | |
| |- | | |- |
| | |6 | | |17\13 |
| |B\\
| | |92.308 |
| |''H\\''
| | | |
| |J#
| |
| |''A#''
| |
| | |508.235
| |
| | colspan="2" |517.647 | |
| | colspan="2" |529.412 | |
| | colspan="2" |539.037
| |
| | colspan="2" |544.538
| |
| | colspan="2" |550.588
| |
| | colspan="2" |555.882
| |
| | colspan="2" |564.706
| |
| | colspan="2" |569.574
| |
| | colspan="2" |584.1785
| |
| | |592.941
| |
| |- | | |- |
| | |7 | | |21\16 |
| |Ap
| | |92.647 |
| |''Bp''
| | | Subpental Mixolydian mode ends, Pental Mixolydian mode begins |
| |A
| |
| |''B''
| |
| | |592.941
| |
| | colspan="2" |603.921
| |
| | colspan="2" |617.647 | |
| | colspan="2" |628.877 | |
| | colspan="2" |635.394
| |
| | colspan="2" |642.353
| |
| | colspan="2" |648.529
| |
| | colspan="2" |658.8235
| |
| | colspan="2" |664.503
| |
| | colspan="2" |681.542
| |
| | |691.765
| |
| |- | | |- |
| |8 | | |25\19 |
| |B | | |92.879 |
| |''H''
| | | |
| |B
| |
| |''H''
| |
| |677.647
| |
| | colspan="2" |690.169
| |
| | colspan="2" |705.882 | |
| | colspan="2" |718.717
| |
| | colspan="2" |726.05
| |
| | colspan="2" |734.118
| |
| | colspan="2" |741.1765
| |
| | colspan="2" |752.941
| |
| | colspan="2" |759.432
| |
| | colspan="2" |778.905
| |
| |790.588
| |
| |- | | |- |
| |9 | | |29\22 |
| |H | | |93.048 |
| |''C''
| | | |
| |Hb
| |
| |''Cb''
| |
| |762.653
| |
| | colspan="2" |776.471
| |
| | colspan="2" |794.118 | |
| | colspan="2" |808.556
| |
| | colspan="2" |816.806
| |
| | colspan="2" |825.882
| |
| | colspan="2" |833.8235
| |
| | colspan="2" |847.059
| |
| | colspan="2" |854.361
| |
| | colspan="2" |876.268
| |
| |889.412
| |
| |- | | |- |
| |10 | | |33\25 |
| |C\\
| | |93.176 |
| |''D\\''
| | | |
| |B#
| |
| |''H#''
| |
| |847.059
| |
| | colspan="2" |862.745
| |
| | colspan="2" |882.353
| |
| | colspan="2" |898.396
| |
| | colspan="2" |907.563
| |
| | colspan="2" |917.647
| |
| | colspan="2" |926.471
| |
| | colspan="2" |941.1765
| |
| | colspan="2" |949.29
| |
| | colspan="2" |973.631 | |
| |988.235 | |
| |- | | |- |
| |11 | | |4\3 |
| |Hp
| | |''94.118'' |
| |''Cp'' | | |Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins |
| |H
| |
| |''C''
| |
| |931.765 | |
| | colspan="2" |949.02
| |
| | colspan="2" |970.588
| |
| | colspan="2" |988.235
| |
| | colspan="2" |998.319
| |
| | colspan="2" |1009.412
| |
| | colspan="2" |1019.118
| |
| | colspan="2" |1035.294
| |
| | colspan="2" |1044.219
| |
| | colspan="2" |1070.994
| |
| |1087.059
| |
| |- | | |- |
| |12 | | |19\14 |
| |C | | |95.798 |
| |''D''
| | | |
| |C
| |
| |''D''
| |
| |1016.471
| |
| | colspan="2" |1035.294
| |
| | colspan="2" |1058.8235 | |
| | colspan="2" |1078.075
| |
| | colspan="2" |1089.076
| |
| | colspan="2" |1101.1765
| |
| | colspan="2" |1111.765
| |
| | colspan="2" |1129.412
| |
| | colspan="2" |1139.148
| |
| | colspan="2" |1168.357
| |
| |1185.882
| |
| |- | | |- |
| |13 | | |15\11 |
| |D | | |96.257 |
| |''S''
| | |Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins |
| |Db
| |
| |''Sb''
| |
| |1101.1765
| |
| | colspan="2" |1121.569
| |
| | colspan="2" |1147.059 | |
| | colspan="2" |1167.914
| |
| | colspan="2" |1179.832
| |
| | colspan="2" |1192.941
| |
| | colspan="2" |1204.412
| |
| | colspan="2" |1223.529
| |
| | colspan="2" |1234.077
| |
| | colspan="2" |1265.72
| |
| |1284.706
| |
| |- | | |- |
| |14 | | |26\19 |
| | colspan="2" |E | | |96.594 |
| |C#
| | | |
| |''D#''
| |
| |1185.882
| |
| | colspan="2" |1027.843
| |
| | colspan="2" |1235.294
| |
| | colspan="2" |1257.754
| |
| | colspan="2" |1270.588
| |
| | colspan="2" |1284.706
| |
| | colspan="2" |1297.059
| |
| | colspan="2" |1317.647
| |
| | colspan="2" |1329.006
| |
| | colspan="2" |1363.083 | |
| |1383.529
| |
| |- | | |- |
| |15 | | |11\8 |
| | colspan="2" |F\\
| | |''97.059'' |
| |D
| | |Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins |
| |''S'' | |
| |1270.588 | |
| | colspan="2" |1294.118
| |
| | colspan="2" |1323.529
| |
| | colspan="2" |1347.594
| |
| | colspan="2" |1361.3445
| |
| | colspan="2" |1376.471
| |
| | colspan="2" |1389.706
| |
| | colspan="2" |1411.765
| |
| | colspan="2" |1423.935
| |
| | colspan="2" |1460.446
| |
| |1482.352
| |
| |- | | |- |
| |16 | | |18\13 |
| | colspan="2" |Ep | | |97.738 |
| | colspan="2" |E
| | | |
| |1355.294
| |
| | colspan="2" |1380.392
| |
| | colspan="2" |1411.765
| |
| | colspan="2" |1437.433 | |
| | colspan="2" |1452.101
| |
| | colspan="2" |1468.235
| |
| | colspan="2" |1482.353
| |
| | colspan="2" |1505.882
| |
| | colspan="2" |1518.864
| |
| | colspan="2" |1557.809
| |
| |1581.1765
| |
| |- | | |- |
| |17 | | |25\18 |
| | colspan="2" |F | | |98.032 |
| | colspan="2" |F
| | | |
| |1440
| |
| | 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"
| |
| |- | | |- |
| | |7\5 |
| | |98.824 |
| | |Mixolydian-Ionian mode ends |
| | |}Golden/Pyrite Tunings±13¢ |
| | |
| | {| class="wikitable" style="text-align: center" |
| ! rowspan="2" |Degrees | | ! rowspan="2" |Degrees |
| ! colspan="4" rowspan="2" |Enneatonic | | ! colspan="4" rowspan="2" |Enneatonic |
| !Minor mode Middletown temperament | | ! rowspan="2" |Intense Aeolian-Subpental Dorian |
| !Neutral mode Middletown temperament | | ! colspan="3" |Dorian |
| !Major mode Middletown temperament
| |
| |- | | |- |
| !7/3±13¢ | | !Subpental |
| !22/9±13¢ | | !Pental |
| !5/2±13¢ | | !Superpental |
| |- | | |- |
| |1 | | | |1 |
| | colspan="2" |G | | |J |
| | colspan="2" |Gb | | |''A'' |
| |85.522-87.051 | | |Jb |
| |90.259-91.789 | | |''Ab'' |
| |92.548-94.077 | | |85.109-86.638 |
| | |85.932-87.462 |
| | |88.7805-90.6955 |
| | |89.334-90.863 |
| |- | | |- |
| | |2 | | | |2 |
| |J\\ | | |A\\ |
| |''A\\'' | | |''B\\'' |
| | colspan="2" |F# | | | colspan="2" |G# |
| |171-044-174.1025 | | |170.218-173.277 |
| |180.5185-183.577 | | |171.865-174.9235 |
| |185.096-188.155 | | |177.561-180.62 |
| | |178.667-181.726 |
| |- | | |- |
| |3 | | | |3 |
| | colspan="2" |Gp | | |Jp |
| | colspan="2" |G | | |''Ap'' |
| |256.5655-261.154 | | |J |
| |270.778-275.366 | | |''A'' |
| |277.644-282.232 | | |255.327-259.915 |
| | |257.797-262.385 |
| | |266.341-270.93 |
| | |268.001-272.589 |
| |- | | |- |
| | |4 | | | |4 |
| |J | | |J |
| |A
| |
| |J
| |
| |''A''
| |
| |342.087-348.205
| |
| |361.037-367.155
| |
| |370.1915-376.309
| |
| |-
| |
| |5
| |
| |A
| |
| |''B'' | | |''B'' |
| |Ab
| |
| |''Bb''
| |
| |427.609-435.256
| |
| |451.2965-458.9435
| |
| |462.739-470.386
| |
| |-
| |
| | |6
| |
| |B\\
| |
| |''H\\''
| |
| |J#
| |
| |''A#''
| |
| |513.131-522.307
| |
| |541.556-550.732
| |
| |555.287-564.464
| |
| |-
| |
| |7
| |
| |Ap
| |
| |''Bp''
| |
| |A | | |A |
| |''B'' | | |''B'' |
| |598.653-609.359 | | |340.4355-346.553 |
| |631.815-642.521 | | |343.729-349.847 |
| |647.835-658.541 | | |355.122-361.2395 |
| | |357.335-363.452 |
| |- | | |- |
| | |8 | | | |5 |
| |B | | |B |
| |''H''
| |
| |B
| |
| |''H''
| |
| |684.1745-696.41.
| |
| |722.074-734.31
| |
| |740.383-752.618
| |
| |-
| |
| |9
| |
| |H
| |
| |''C'' | | |''C'' |
| |Hb | | |Bb |
| |''Cb'' | | |''Cb'' |
| |769.696-783.461 | | |425.544-433.1915 |
| |812.334-826.098 | | |429.662-437.309 |
| |832.931-846.6955 | | |442.902-451.5495 |
| | |446.668-454.315 |
| |- | | |- |
| | |10 | | | |6 |
| |C\\ | | |C\\ |
| |''D\\'' | | |''Q\\'' |
| |B# | | |A# |
| |''H#'' | | |''B#'' |
| |855.218-870.512 | | |510.653-519.83 |
| |902.593-917.887 | | |515.594-524.7705 |
| |925.479-940.773 | | |532.683-541.859 |
| | |536.002-545.178 |
| |- | | |- |
| |11 | | | |7 |
| |Hp | | |Bp |
| |''Cp'' | | |''Cp'' |
| |H | | |B |
| |''C'' | | |''C'' |
| |940.74-957.5635 | | |595.762-606.468 |
| |992.852.1009.676 | | |601.526-612.232 |
| |1018.0265-1034.85 | | |621.463-632.169 |
| | |625.3355-636.041 |
| |- | | |- |
| | |12 | | |8 |
| |C | | |C |
| |''D'' | | |''Q'' |
| |C | | |C |
| | |''Q'' |
| | |680.871-693.106 |
| | |687.459-699.694 |
| | |710.244-722.479 |
| | |714.996-726.904 |
| | |- |
| | |9 |
| | |Q |
| |''D'' | | |''D'' |
| |1026.262-1044.615 | | |Qb |
| |1083.1115-1101.464
| |
| |1110.574-1128.927
| |
| |-
| |
| |13
| |
| |D
| |
| |''S''
| |
| |Db | | |Db |
| |''Sb'' | | |765.98-779.745 |
| |1111.7847-1131.666 | | |773.391-787.156 |
| |1173.371-1193.253 | | |799.024-812.789 |
| |1203.122-1223.005 | | |804.003-817.768 |
| |- | | |- |
| | |14 | | |10 |
| | colspan="2" |E | | |D\\ |
| | |''Q\\'' |
| |C# | | |C# |
| |''D#'' | | |Q# |
| |1197.3055-1218.717
| | |851.089-866.383 |
| |1353.889-1375.042
| | |859.323-874.6175 |
| |1295.67-1317.082
| | |887.805-903.099 |
| |-
| | |893.336-999.4935 |
| |15
| |
| | colspan="2" |F\\
| |
| |D
| |
| |''S''
| |
| |1282.827-1305.768
| |
| |1444.149-1466.83
| |
| |1388.218-1411.159
| |
| |-
| |
| |16
| |
| | colspan="2" |Ep
| |
| | colspan="2" |E
| |
| |1368.249-1392.82
| |
| |1534.408-1558.619
| |
| |1480.766-1505.236
| |
| |-
| |
| |17
| |
| | colspan="2" |F
| |
| | 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="4" 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" |G
| |
| | colspan="2" |Gb
| |
| |85.109
| |
| |85.874
| |
| |85.932
| |
| |86.638
| |
| |86.697
| |
| |87.462
| |
| |88.7805
| |
| |89.334
| |
| |89.545
| |
| |90.098
| |
| |90.31
| |
| |90.6955
| |
| |-
| |
| |2
| |
| |J\\
| |
| |''A\\''
| |
| | colspan="2" |F#
| |
| |170.218
| |
| |171.747
| |
| |171.865
| |
| |173.277
| |
| |173.394
| |
| |174.9235
| |
| |177.561
| |
| |178.667
| |
| |179.09
| |
| |180.197
| |
| |180.62
| |
| |181.391
| |
| |-
| |
| |3
| |
| | colspan="2" |Gp
| |
| | colspan="2" |G
| |
| |255.327
| |
| |257.621
| |
| |257.797
| |
| |259.915
| |
| |260.091
| |
| |262.385
| |
| |266.341
| |
| |268.001
| |
| |268.636
| |
| |270.295
| |
| |270.93
| |
| |272.086
| |
| |-
| |
| |4
| |
| |J
| |
| |A
| |
| |J
| |
| |''A''
| |
| |340.4355
| |
| |343.494
| |
| |343.729
| |
| |346.553
| |
| |346.788
| |
| |349.847
| |
| |355.122
| |
| |357.335
| |
| |358.181
| |
| |360.393
| |
| |361.2395
| |
| |362.782
| |
| |-
| |
| |5
| |
| |A
| |
| |''B''
| |
| |Ab
| |
| |''Bb''
| |
| |425.544
| |
| |429.368
| |
| |429.662
| |
| |433.1915
| |
| |433.485
| |
| |437.309
| |
| |442.902
| |
| |446.668
| |
| |447.726
| |
| |450.492
| |
| |451.5495
| |
| |453.477
| |
| |-
| |
| |6
| |
| |B\\
| |
| |''H\\''
| |
| |J#
| |
| |''A#''
| |
| |510.653
| |
| |515.2415
| |
| |515.594
| |
| |519.83
| |
| |520.182
| |
| |524.7705
| |
| |532.683
| |
| |536.002
| |
| |537.271
| |
| |540.59
| |
| |541.859
| |
| |544.173
| |
| |-
| |
| |7
| |
| |Ap
| |
| |''Bp''
| |
| |A
| |
| |''B''
| |
| |595.762
| |
| |601.115
| |
| |601.526
| |
| |606.468
| |
| |606.879
| |
| |612.232
| |
| |621.463
| |
| |625.3355
| |
| |626.516
| |
| |630.688
| |
| |632.169
| |
| |634.868
| |
| |-
| |
| |8
| |
| |B
| |
| |''H''
| |
| |B
| |
| |''H''
| |
| |680.871
| |
| |686.989
| |
| |687.459
| |
| |693.106
| |
| |693.576
| |
| |699.694
| |
| |710.244
| |
| |714.996
| |
| |716.3615
| |
| |720.787
| |
| |722.479
| |
| |725.563
| |
| |-
| |
| |9
| |
| |H
| |
| |''C''
| |
| |Hb
| |
| |''Cb''
| |
| |765.98
| |
| |772.862
| |
| |773.391
| |
| |779.745
| |
| |780.273
| |
| |787.156
| |
| |799.024
| |
| |804.003
| |
| |805.907
| |
| |810.885
| |
| |812.789
| |
| |816.259
| |
| |-
| |
| |10
| |
| |C\\
| |
| |''D\\''
| |
| |B#
| |
| |''H#''
| |
| |851.089 | |
| |858.736
| |
| |859.323 | |
| |866.383
| |
| |866.97
| |
| |874.6175
| |
| |887.805 | |
| |893.336 | |
| |895.452
| |
| |900.983
| |
| |903.099
| |
| |906.955
| |
| |- | | |- |
| |11 | | |11 |
| |Hp | | |Qp |
| |''Cp'' | | |''Dp'' |
| |H | | |Q |
| |''C'' | | |''D'' |
| |936.198 | | |936.198-953.021 |
| |944.609
| | |945.256-962.079 |
| |945.256 | | |976.585-993.409 |
| |953.021
| | |982.67-1090.357 |
| |953.667
| |
| |962.079
| |
| |976.585 | |
| |982.67 | |
| |984.997
| |
| |991.082
| |
| |993.409
| |
| |997.65
| |
| |- | | |- |
| |12 | | |12 |
| |C | | | colspan="2" |D |
| |''D'' | | |D |
| |C | | |''S'' |
| |''D'' | | |1021.3065-1039.66 |
| |1021.3065 | | |1031.188-1049.541 |
| |1030.483
| | |1065.366-1083.719 |
| |1031.188 | | |1072.004-1181.22 |
| |1039.66
| |
| |1040.3645
| |
| |1049.541
| |
| |1065.366 | |
| |1072.004 | |
| |1074.542
| |
| |1081.18
| |
| |1083.719
| |
| |1088.346
| |
| |- | | |- |
| |13 | | |13 |
| |D | | |E |
| |''S'' | | |''S'' |
| |Db | | | colspan="2" |Eb |
| |''Sb'' | | |1106.415-1186.94 |
| |1106.415 | | |1117.12-1137.003 |
| |1116.3565
| | |1154.146-1174.029. |
| |1117.12 | | |1161.337-1272.083 |
| |1186.94
| |
| |1127.0615
| |
| |1137.003
| |
| |1154.146 | |
| |1161.337
| |
| |1164.087
| |
| |1171.2785
| |
| |1174.029.
| |
| |1179.041 | |
| |- | | |- |
| |14 | | |14 |
| | colspan="2" |E | | | colspan="2" |F |
| |C# | | |D# |
| |''D#'' | | |''S#'' |
| |1191.524 | | |1191.524-1212.936 |
| |1202.23
| | |1203.052-1224.464 |
| |1203.052 | | |1242.927-1264.3385 |
| |1212.936
| | |1250.671-1362.946 |
| |1213.759
| |
| |1224.464
| |
| |1242.927 | |
| |1250.671 | |
| |1253.633
| |
| |1261.377
| |
| |1264.3385
| |
| |1269.737
| |
| |- | | |- |
| |15 | | |15 |
| | colspan="2" |F\\ | | | colspan="2" |G\\ |
| |D | | | colspan="2" |E |
| |''S'' | | |1276.633-1299.5745 |
| |1276.633 | | |1288.985-1311.926 |
| |1288.104
| | |1331.707-1354.648 |
| |1288.985 | | |1340.005-1453.809 |
| |1299.5745
| |
| |1300.456
| |
| |1311.926
| |
| |1331.707 | |
| |1340.005 | |
| |1343.178
| |
| |1351.475
| |
| |1354.648
| |
| |1360.432
| |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Ep | | | colspan="2" |Fp |
| | colspan="2" |E | | | colspan="2" |F |
| |1361.741 | | |1361.741-1386.213 |
| |1373.977
| | |1374.917-1399.388 |
| |1374.917 | | |1420.488-1424.958 |
| |1386.213
| | |1426.338-1453.809 |
| |1387.153
| |
| |1399.388
| |
| |1420.488 | |
| |1426.338 | |
| |1432.723
| |
| |1441.5735
| |
| |1424.958
| |
| |1451.128
| |
| |- | | |- |
| |17 | | |17 |
| | colspan="2" |F | | | colspan="4" |G |
| | colspan="2" |F
| | |1446.851-1472.851 |
| |1446.851 | | |1460.85-1486.85 |
| |1459.851
| | |1509.268-1535.268 |
| |1460.85 | | |1518.672-1544.672 |
| |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" style="text-align: center" |
| {| class="wikitable" | |
| |-
| |
| !Degrees | | !Degrees |
| ! colspan="4" |Enneatonic | | ! colspan="8" |Enneatonic |
| !+13¢ (S5D) | | !Mohajira |
| !Mean | | !Beatles |
| !-13¢ (s5M)
| |
| |- | | |- |
| |1 | | | |1 |
| | colspan="2" |G | | | colspan="2" |G |
| | colspan="2" |Gb | | | colspan="2" |Gb |
| |90.863 | | |J |
| |91.46
| | |''A'' |
| |92.019 | | |Jb |
| | |''Ab'' |
| | |90.464-91.994 |
| | |90.6955-92.225 |
| |- | | |- |
| |2 | | | |2 |
| |J\\ | | |J\\ |
| |''A\\'' | | |''A\\'' |
| | colspan="2" |F# | | | colspan="2" |F# |
| |181.726 | | |A\\ |
| |182.92 | | |''B\\'' |
| |184.038 | | | colspan="2" |G# |
| | |180.929-183.988 |
| | |181.391-184.45 |
| |- | | |- |
| |3 | | | |3 |
| | colspan="2" |Gp | | | colspan="2" |Gp |
| | colspan="2" |G | | | colspan="2" |G |
| |272.589 | | |Jp |
| |274.381 | | |''Ap'' |
| |276.0565 | | |J |
| | |''A'' |
| | |271.393-275.9815 |
| | |272.086-276.675 |
| |- | | |- |
| |4 | | | |4 |
| |J | | |J |
| |A | | |A |
| |J | | |J |
| |''A'' | | |''A'' |
| |363.452 | | |J |
| |365.841 | | |''B'' |
| |368.075 | | |A |
| | |''B'' |
| | |361.858-367.975 |
| | |362.782-368.91 |
| |- | | |- |
| |5 | | | |5 |
| |A | | |A |
| |''B'' | | |''B'' |
| |Ab | | |Ab |
| |''Bb'' | | |''Bb'' |
| |454.315 | | |B |
| |457.301 | | |''C'' |
| |460.094 | | |Bb |
| | |''Cb'' |
| | |452.322-459.969 |
| | |453.477-461.124 |
| |- | | |- |
| |6 | | | |6 |
| |B\\ | | |B\\ |
| |''H\\'' | | |''H\\'' |
| |J# | | |J# |
| |''A#'' | | |''A#'' |
| |545.178 | | |C\\ |
| |548.761 | | |''Q\\'' |
| |552.113 | | |A# |
| | |''B#'' |
| | |542.787-551.963 |
| | |544.173-553.349 |
| |- | | |- |
| |7 | | | |7 |
| |Ap | | |Ap |
| |''Bp'' | | |''Bp'' |
| |A | | |A |
| |''B'' | | |''B'' |
| |636.041 | | |Bp |
| |640.221 | | |''Cp'' |
| |664.132 | | |B |
| | |''C'' |
| | |633.251-643.957 |
| | |634.868-645.574 |
| |- | | |- |
| |8 | | |8 |
| Line 868: |
Line 386: |
| |B | | |B |
| |''H'' | | |''H'' |
| |726.904 | | |C |
| |731.6815 | | |''Q'' |
| |736.151 | | |C |
| | |''Q'' |
| | |723.7155-735.951 |
| | |725.564-737.799 |
| |- | | |- |
| |9 | | |9 |
| Line 877: |
Line 398: |
| |Hb | | |Hb |
| |''Cb'' | | |''Cb'' |
| |817.767 | | |Q |
| |823.142 | | |''D'' |
| |828.17 | | |Qb |
| | |Db |
| | |814.18-827.945 |
| | |816.259-830.024 |
| |- | | |- |
| |10 | | |10 |
| Line 886: |
Line 410: |
| |B# | | |B# |
| |''H#'' | | |''H#'' |
| |908.6305 | | |D\\ |
| |914.602 | | |''Q\\'' |
| |920.1885 | | |C# |
| | |Q# |
| | |904.644-919.9385 |
| | |906.955-922.289 |
| |- | | |- |
| |11 | | |11 |
| Line 895: |
Line 422: |
| |H | | |H |
| |''C'' | | |''C'' |
| |999.4935 | | |Qp |
| |1006.062 | | |''Dp'' |
| |1012.207 | | |Q |
| | |''D'' |
| | |995.109-1011.932 |
| | |997.65-1014.474 |
| |- | | |- |
| |12 | | |12 |
| Line 904: |
Line 434: |
| |C | | |C |
| |''D'' | | |''D'' |
| |1090.357 | | | colspan="2" |D |
| |1097.522 | | |D |
| |1104.226 | | |''S'' |
| | |1085.573-1103.926 |
| | |1088.346-1106.699 |
| |- | | |- |
| |13 | | |13 |
| Line 913: |
Line 445: |
| |Db | | |Db |
| |''Sb'' | | |''Sb'' |
| |1181.22 | | |E |
| |1188.982 | | |''S'' |
| |1196.245 | | | colspan="2" |Eb |
| | |1176.038-1195.92 |
| | |1179.041-1198.9235 |
| |- | | |- |
| |14 | | |14 |
| Line 921: |
Line 455: |
| |C# | | |C# |
| |''D#'' | | |''D#'' |
| |1272.083 | | | colspan="2" |F |
| |1280.443 | | |D# |
| |1288.234 | | |''S#'' |
| | |1266.502-1287.914 |
| | |1269.737-1291.1485 |
| |- | | |- |
| |15 | | |15 |
| Line 929: |
Line 465: |
| |D | | |D |
| |''S'' | | |''S'' |
| |1362.946 | | | colspan="2" |G\\ |
| |1371.903 | | | colspan="2" |E |
| |1380.283 | | |1356.967-1379.908 |
| | |1360.432-1383.373 |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Ep | | | colspan="2" |Ep |
| | colspan="2" |E | | | colspan="2" |E |
| |1453.809 | | | colspan="2" |Fp |
| |1463.363 | | | colspan="2" |F |
| |1472.3015 | | |1447.431-1471.902 |
| | |1451.128-1475.598 |
| |- | | |- |
| |17 | | |17 |
| | colspan="2" |F | | | colspan="4" |F |
| | colspan="2" |F | | | colspan="4" |G |
| |1544.672 | | |1537.8955-1563.8955 |
| |1554.823 | | |1541.823-1577.823 |
| |1557.82
| | |} |
| |}Major mode Middletown temperament | | {| class="wikitable" style="text-align: center" |
| {| class="wikitable" | | ! rowspan="3" |Degrees |
| |+ | | ! colspan="4" rowspan="3" |Enneatonic |
| | ! colspan="4" |Mixolydian |
| | ! rowspan="3" |Mixolydian-Ionian |
| |- | | |- |
| ! rowspan="4" |Degrees | | ! rowspan="2" |Subpental |
| ! colspan="4" rowspan="4" |Enneatonic | | ! rowspan="2" |Pental |
| ! colspan="13" |Mixolydian
| | ! colspan="2" |Superpental |
| ! colspan="2" |Mixolydian-Ionian | |
| |- | | |- |
| ! colspan="3" |Subpental | | !Soft |
| ! colspan="4" |Pental | | !Intense |
| ! colspan="6" |Superpental
| |
| ! rowspan="3" |Mean
| |
| ! rowspan="3" |+13¢
| |
| |- | | |- |
| ! rowspan="2" |-13¢ (5)
| | | |1 |
| ! 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" |G | | | colspan="2" |G |
| | colspan="2" |Gb | | | colspan="2" |Gb |
| |92.035 | | |92.019-93.548 |
| |92.225
| | |92.035-93.5645 |
| |92.401 | | |94.1155-95.645 |
| |92.8
| | |95.669-97.198 |
| |93.548
| | |96.739-98.268 |
| |93.5645
| |
| |94.1155 | |
| |94.88
| |
| |95.645
| |
| |95.669 | |
| |96.433
| |
| |96.739 | |
| |97.198
| |
| |97.504
| |
| |98.268
| |
| |- | | |- |
| |2 | | | |2 |
| |J\\ | | |J\\ |
| |''A\\'' | | |''A\\'' |
| | colspan="2" |F# | | | colspan="2" |F# |
| |184.07 | | |184.038-187.139 |
| |184.45
| | |184.07-187.129 |
| |184.802 | | |188.231-191.29 |
| |185.6
| | |191.337-194.396 |
| |187.139
| | |193.478-196.537 |
| |198.8245
| |
| |188.231 | |
| |189.7605
| |
| |191.29
| |
| |191.337 | |
| |192.867
| |
| |193.478 | |
| |194.396
| |
| |195.007
| |
| |196.537
| |
| |- | | |- |
| |3 | | | |3 |
| | colspan="2" |Gp | | | colspan="2" |Gp |
| | colspan="2" |G | | | colspan="2" |G |
| |276.105 | | |276.0565-280.645 |
| |276.675
| | |276.105-280.693 |
| |277.204
| | |282.347-286.935 |
| |278.399
| | |287.006-291.594 |
| |280.645
| | |290.217-294.805 |
| |280.693 | |
| |282.347 | |
| |284.641
| |
| |286.935
| |
| |287.006 | |
| |289.3
| |
| |290.217 | |
| |291.594
| |
| |292.511
| |
| |294.805
| |
| |- | | |- |
| |4 | | | |4 |
| |J | | |J |
| |A | | |A |
| |J | | |J |
| |''A'' | | |''A'' |
| |368.14 | | |368.075-374.193 |
| |368.9
| | |368.14-374.258 |
| |369.605
| | |376.462-382.58 |
| |371.199
| | |382.675-388.792 |
| |374.193
| | |386.956-393.074 |
| |374.258 | |
| |376.462 | |
| |379.521
| |
| |382.58
| |
| |382.675 | |
| |385.733
| |
| |386.956 | |
| |388.792
| |
| |390.015
| |
| |393.074
| |
| |- | | |- |
| |5 | | | |5 |
| |A | | |A |
| |''B'' | | |''B'' |
| |Ab | | |Ab |
| |''Bb'' | | |''Bb'' |
| |460.175 | | |460.094-467.741 |
| |461.1245
| | |460.175-467.822 |
| |462.006
| | |470.578-478.225 |
| |463.999
| | |478.343-485.99 |
| |467.741
| | |483.695-491.342 |
| |467.822 | |
| |470.578 | |
| |474.401
| |
| |478.225
| |
| |478.343 | |
| |482.167
| |
| |483.695 | |
| |485.99
| |
| |487.519
| |
| |491.342
| |
| |- | | |- |
| |6 | | | |6 |
| |B\\ | | |B\\ |
| |''H\\'' | | |''H\\'' |
| |J# | | |J# |
| |''A#'' | | |''A#'' |
| |552.21 | | |552.113-561.29 |
| |553.349
| | |552.21-561.387 |
| |554.407
| | |564.693-573.87 |
| |556.799
| | |574.012-583.188 |
| |561.29
| | |580.434-589.6105 |
| |561.387 | |
| |564.693 | |
| |569.2815
| |
| |573.87
| |
| |574.012 | |
| |578.6
| |
| |580.434 | |
| |583.188
| |
| |585.022
| |
| |589.6105
| |
| |- | | |- |
| |7 | | | |7 |
| |Ap | | |Ap |
| |''Bp'' | | |''Bp'' |
| |A | | |A |
| |''B'' | | |''B'' |
| |644.2455 | | |644.132-654.838 |
| |645.574
| | |644.2455-654.951 |
| |646.808
| | |658.809-669.515 |
| |649.598
| | |669.6805-680.386 |
| |654.838
| | |677.173-687.879 |
| |654.951 | |
| |658.809 | |
| |664.162
| |
| |669.515
| |
| |669.6805 | |
| |675.033
| |
| |677.173 | |
| |680.386
| |
| |682.526
| |
| |687.879
| |
| |- | | |- |
| |8 | | |8 |
| Line 1,124: |
Line 574: |
| |B | | |B |
| |''H'' | | |''H'' |
| |736.281 | | |736.151-748.386 |
| |737.8
| | |736.281-748.516 |
| |739.21
| | |752.924-765.16 |
| |742.398
| | |765.349-777.584 |
| |748.386
| | |773.912-783.147 |
| |748.516 | |
| |752.924 | |
| |759.042
| |
| |765.16
| |
| |765.349 | |
| |771.467
| |
| |773.912 | |
| |777.584
| |
| |780.03
| |
| |783.147
| |
| |- | | |- |
| |9 | | |9 |
| Line 1,145: |
Line 585: |
| |Hb | | |Hb |
| |''Cb'' | | |''Cb'' |
| |828.316 | | |828.17-841.934 |
| |830.024
| | |828.316-842.08 |
| |831.611
| | |847.04-860.805 |
| |835.198
| | |861.018-874.7852 |
| |841.934
| | |870.416-884.416 |
| |842.08 | |
| |847.04 | |
| |853.922
| |
| |860.805
| |
| |861.018 | |
| |867.9
| |
| |870.416 | |
| |874.7852
| |
| |877.5335
| |
| |884.416
| |
| |- | | |- |
| |10 | | |10 |
| Line 1,166: |
Line 596: |
| |B# | | |B# |
| |''H#'' | | |''H#'' |
| |920.351 | | |920.1885-935.483 |
| |922.249
| | |920.351-935.645 |
| |924.012
| | |941.155-956.45 |
| |927.998
| | |956.6865-971.9805 |
| |935.483
| | |967.39-982.684 |
| |935.645 | |
| |941.155 | |
| |948.8025
| |
| |956.45
| |
| |956.6865 | |
| |964.3335
| |
| |967.39 | |
| |971.9805
| |
| |975.037
| |
| |982.684
| |
| |- | | |- |
| |11 | | |11 |
| Line 1,187: |
Line 607: |
| |H | | |H |
| |''C'' | | |''C'' |
| |1012.386 | | |1012.207-1029.031 |
| |1014.474
| | |1012.386-1029.209 |
| |1016.413
| | |1035.271-1052.0945 |
| |1020.7975
| | |1052.355-1069.179 |
| |1029.031
| | |1064.129-1080.953 |
| |1029.209 | |
| |1035.271 | |
| |1043.683
| |
| |1052.0945
| |
| |1052.355 | |
| |1060.767
| |
| |1064.129 | |
| |1069.179
| |
| |1072.541
| |
| |1080.953
| |
| |- | | |- |
| |12 | | |12 |
| Line 1,208: |
Line 618: |
| |C | | |C |
| |''D'' | | |''D'' |
| |1104.421 | | |1104.226-1122.579 |
| |1106.699
| | |1104.421-1122.774 |
| |1108.814
| | |1129.3865-1147.7395 |
| |1113.567
| | |1148.024-1166.377 |
| |1122.579
| | |1160.868-1179.221 |
| |1122.774 | |
| |1129.3865 | |
| |1138.563
| |
| |1147.7395
| |
| |1148.024 | |
| |1157.2
| |
| |1160.868 | |
| |1166.377
| |
| |1170.045
| |
| |1179.221
| |
| |- | | |- |
| |13 | | |13 |
| Line 1,229: |
Line 629: |
| |Db | | |Db |
| |''Sb'' | | |''Sb'' |
| |1196.456 | | |1196.245-1216.127 |
| |1198.924
| | |1196.456-1216.338 |
| |1201.216
| | |1223.502-1243.384 |
| |1206.397
| | |1243.692-1263.575 |
| |1216.127
| | |1257.607-1277.4895 |
| |1216.338 | |
| |1223.502 | |
| |1233.443
| |
| |1243.384
| |
| |1243.692 | |
| |1253.6335
| |
| |1257.607 | |
| |1263.575
| |
| |1267.548
| |
| |1277.4895
| |
| |- | | |- |
| |14 | | |14 |
| Line 1,249: |
Line 639: |
| |C# | | |C# |
| |''D#'' | | |''D#'' |
| |1288.491 | | |1288.234-1309.676 |
| |1291.1485
| | |1288.491-1309.903 |
| |1293.617
| | |1317.618-1339.026 |
| |1299.197
| | |1339.361-1360.773 |
| |1309.676
| | |1354.346-1375.758 |
| |1309.903 | |
| |1317.618 | |
| |1328.3235
| |
| |1339.026
| |
| |1339.361 | |
| |1350.067
| |
| |1354.346 | |
| |1360.773
| |
| |1365.052
| |
| |1375.758
| |
| |- | | |- |
| |15 | | |15 |
| Line 1,269: |
Line 649: |
| |D | | |D |
| |''S'' | | |''S'' |
| |1380.526 | | |1380.283-1403.224 |
| |1383.373
| | |1380.526-1403.467 |
| |1386.018
| | |1411.733-1434.674 |
| |1391.997
| | |1435.03-1457.97 |
| |1403.224
| | |1451.085-1474.026 |
| |1403.467 | |
| |1411.733 | |
| |1423.204
| |
| |1434.674
| |
| |1435.03 | |
| |1446.5
| |
| |1451.085 | |
| |1457.97
| |
| |1462.556
| |
| |1474.026
| |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Ep | | | colspan="2" |Ep |
| | colspan="2" |E | | | colspan="2" |E |
| |1472.561 | | |1472.3015-1496.772 |
| |1475.598
| | |1472.561-1497.032 |
| |1478.419
| | |1505.849-1530.319 |
| |1484.796
| | |1530.698-1555.168 |
| |1496.772
| | |1547.824-1572.295 |
| |1497.032 | |
| |1505.849 | |
| |1518.083
| |
| |1530.319
| |
| |1530.698 | |
| |1542.934
| |
| |1547.824 | |
| |1555.169
| |
| |1560.0595
| |
| |1572.295
| |
| |- | | |- |
| |17 | | |17 |
| | colspan="2" |F | | | colspan="4" |F |
| | colspan="2" |F | | |1557.82-1583.82 |
| |1564.596
| | |1564.596-1590.596 |
| |1567.96
| | |1599.964-1625.964 |
| |1570.82
| | |1626.366-1652.366 |
| |1577.596 | | |1644.563-1670.563 |
| |1583.82
| |
| |1590.596
| |
| |1599.964 | |
| |1612.964
| |
| |1625.964
| |
| |1626.366 | |
| |1639.366
| |
| |1644.563 | |
| |1652.366
| |
| |1657.563
| |
| |1670.563
| |
| |} | | |} |
| [[Category:EdX]] | | |
| | == See also == |
| | * [[17ed5/2]] - equal division of the classic major tenth |
| | * [[17ed7/3]] - equal division of the septimal minor tenth |