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| Explanation needed for what this is. See [[edX]] maybe?
| | '''19edX''' means division of a tenth interval into 19 equal parts. |
|
| |
|
| ==Intervals== | | == Intervals == |
| {| class="wikitable" | | {| class="wikitable" |
| ! rowspan="5" |Degrees | | !Decade |
| ! colspan="2" rowspan="5" |Enneatonic | | !Period |
| ! colspan="8" |Minor mode Middletown temperament | | ! Notes |
| ! colspan="2" |Neutral mode Middletown temperament
| |
| ! colspan="10" |Major mode Middletown temperament
| |
| |- | | |- |
| ! colspan="2" rowspan="3" |Aeolian-Dorian
| | | 6\5 |
| ! colspan="6" |Dorian
| | |75.790 |
| ! 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
| | |29\24 |
| ! colspan="2" rowspan="2" |Pental
| | |''76.316'' |
| ! colspan="2" rowspan="2" |Superpental
| | | |
| ! colspan="2" rowspan="2" |Subpental
| |
| ! colspan="2" rowspan="2" |Pental
| |
| ! colspan="4" |Superpental
| |
| |- | | |- |
| ! colspan="2" |Soft
| | |23\19 |
| ! colspan="2" |Intense
| | |76.454 |
| | | |
| |- | | |- |
| ! |Minimum
| | |17\14 |
| ! |Maximum
| | |76.692 |
| !Minimum
| | | |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| ! |Maximum
| |
| !Minimum
| |
| !Maximum
| |
| ! |Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| !Maximum
| |
| !Minimum
| |
| ! |Maximum
| |
| |- | | |- |
| | |1 | | |11\9 |
| | colspan="2" |Gb | | |77.193 |
| | |75.7895 | | |Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins |
| | colspan="2" |77.193 | | |- |
| | colspan="2" |78.947 | | |16\13 |
| | colspan="2" |80.383 | | |77.733 |
| | colspan="2" |81.203 | | | |
| | colspan="2" |82.105 | | |- |
| | colspan="2" |82.895 | | |21\17 |
| | colspan="2" |84.2105 | | |78.019 |
| | colspan="2" |84.9365 | | | |
| | colspan="2" |87.114 | | |- |
| | |88.421 | | |5\4 |
| | |''78.947'' |
| | |Subpental Dorian mode ends, Pental Dorian mode begins |
| | |- |
| | |24\19 |
| | |79.778 |
| | | |
| | |- |
| | |19\15 |
| | |80.000 |
| | | |
| | |- |
| | |14\11 |
| | |80.383 |
| | |Pental Dorian mode ends, Superpental Dorian mode begins |
| |- | | |- |
| | |2 | | |23\18 |
| | colspan="2" |F#
| | |80.702 |
| | |151.579
| | | |
| | colspan="2" |154.386
| |
| | colspan="2" |157.895
| |
| | colspan="2" |160.766 | |
| | colspan="2" |162.406 | |
| | colspan="2" |164.2105
| |
| | colspan="2" |165.7896
| |
| | colspan="2" |168.421
| |
| | colspan="2" |169.873
| |
| | colspan="2" |174.229
| |
| | |176.842
| |
| |- | | |- |
| | |3 | | |9\7 |
| | colspan="2" |G
| | |81.203 |
| | |227.368
| | |Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins |
| | colspan="2" |231.579
| |
| | colspan="2" |236.842
| |
| | colspan="2" |241.148 | |
| | colspan="2" |243.609 | |
| | colspan="2" |246.316
| |
| | colspan="2" |248.684
| |
| | colspan="2" |252.632
| |
| | colspan="2" |254.809
| |
| | colspan="2" |261.343
| |
| | |265.263
| |
| |- | | |- |
| | |4 | | |31\24 |
| |J
| | |''81.579'' |
| |''A'' | | | |
| | |303.158 | |
| | colspan="2" |308.772
| |
| | colspan="2" |315.7895
| |
| | colspan="2" |321.531
| |
| | colspan="2" |324.812
| |
| | colspan="2" |328.421
| |
| | colspan="2" |331.579
| |
| | colspan="2" |336.842
| |
| | colspan="2" |339.746
| |
| | colspan="2" |348.457
| |
| | |353.684
| |
| |- | | |- |
| | |5 | | |22\17 |
| |Ab
| | |81.734 |
| |''Bb''
| | |Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins |
| | |378.947
| |
| | colspan="2" |385.965
| |
| | colspan="2" |394.737
| |
| | colspan="2" |401.914
| |
| | colspan="2" |406.015
| |
| | colspan="2" |410.526
| |
| | colspan="2" |414.474
| |
| | colspan="2" |421.053
| |
| | colspan="2" |424.682 | |
| | colspan="2" |435.527 | |
| | |442.105
| |
| |- | | |- |
| | |6 | | |35\27 |
| |J#
| | |87.872 |
| |''A#''
| | | |
| | |454.737
| |
| | colspan="2" |463.158
| |
| | colspan="2" |473.684
| |
| | colspan="2" |482.297
| |
| | colspan="2" |487.218
| |
| | colspan="2" |492.632
| |
| | colspan="2" |497.368
| |
| | colspan="2" |505.263
| |
| | colspan="2" |509.619 | |
| | colspan="2" |522.686 | |
| | |530.526
| |
| |- | | |- |
| | |7 | | |13\10 |
| |A
| | |82.105 |
| |''B''
| | |Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins |
| | |530.526
| |
| | colspan="2" |540.351
| |
| | colspan="2" |552.632
| |
| | colspan="2" |592.679
| |
| | colspan="2" |568.421
| |
| | colspan="2" |574.737
| |
| | colspan="2" |580.263
| |
| | colspan="2" |589.474
| |
| | colspan="2" |594.555 | |
| | colspan="2" |609.8 | |
| | |618.947
| |
| |- | | |- |
| |8 | | |17\13 |
| |B | | |82.591 |
| |''H''
| | | |
| |606.316
| |
| | colspan="2" |617.544 | |
| | colspan="2" |631.579
| |
| | colspan="2" |643.062
| |
| | colspan="2" |647.624
| |
| | colspan="2" |656.842
| |
| | colspan="2" |663.158
| |
| | colspan="2" |673.684
| |
| | colspan="2" |679.491
| |
| | colspan="2" |696.915
| |
| |707.368
| |
| |- | | |- |
| |9 | | |21\16 |
| |Hb | | |82.896 |
| |''Cb''
| | |Subpental Mixolydian mode ends, Pental Mixolydian mode begins |
| |682.105
| |
| | colspan="2" |694.737 | |
| | colspan="2" |710.526
| |
| | colspan="2" |723.445
| |
| | colspan="2" |730.827
| |
| | colspan="2" |738.947
| |
| | colspan="2" |746.053
| |
| | colspan="2" |757.895
| |
| | colspan="2" |764.418
| |
| | colspan="2" |784.029
| |
| |795.7895
| |
| |- | | |- |
| |10 | | |25\19 |
| |B# | | |83.102 |
| |''H#''
| | | |
| |757.895
| |
| | colspan="2" |771.93 | |
| | colspan="2" |789.474
| |
| | colspan="2" |803.828
| |
| | colspan="2" |812.03
| |
| | colspan="2" |821.053
| |
| | colspan="2" |828.947
| |
| | colspan="2" |842.105
| |
| | colspan="2" |849.365
| |
| | colspan="2" |871.143
| |
| |884.2105
| |
| |- | | |- |
| |11 | | |29\22 |
| |H | | |83.253 |
| |''C''
| | | |
| |833.654
| |
| | colspan="2" |849.123 | |
| | colspan="2" |868.421
| |
| | colspan="2" |884.2105
| |
| | colspan="2" |893.233
| |
| | colspan="2" |903.158
| |
| | colspan="2" |911.843
| |
| | colspan="2" |926.316
| |
| | colspan="2" |934.302
| |
| | colspan="2" |958.258
| |
| |972.632
| |
| |- | | |- |
| |12 | | |33\25 |
| |C | | |83.368 |
| |''D''
| | | |
| |909.474
| |
| | colspan="2" |926.326 | |
| | colspan="2" |947.378
| |
| | colspan="2" |964.593
| |
| | colspan="2" |974.436
| |
| | colspan="2" |985.263
| |
| | colspan="2" |994.737
| |
| | colspan="2" |1010.526
| |
| | colspan="2" |1019.238
| |
| | colspan="2" |1045.372
| |
| |1061.053
| |
| |- | | |- |
| |13 | | |4\3 |
| |Db
| | |''84.211'' |
| |''Sb'' | | |Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins |
| |985.263 | |
| | colspan="2" |1003.509
| |
| | colspan="2" |1026.316
| |
| | colspan="2" |1044.976
| |
| | colspan="2" |1055.639
| |
| | colspan="2" |1067.368
| |
| | colspan="2" |1077.612
| |
| | colspan="2" |1094.737
| |
| | colspan="2" |1104.172
| |
| | colspan="2" |1132.486
| |
| |1149.474
| |
| |- | | |- |
| |14 | | |19\14 |
| |C# | | |85.714 |
| |''D#''
| | | |
| |1061.053
| |
| | colspan="2" |1080.702 | |
| | colspan="2" |1105.263
| |
| | colspan="2" |1125.359
| |
| | colspan="2" |1136.842
| |
| | colspan="2" |1149.474
| |
| | colspan="2" |1160.526
| |
| | colspan="2" |1178.947
| |
| | colspan="2" |1189.111
| |
| | colspan="2" |1220.601
| |
| |1237.895
| |
| |- | | |- |
| |15 | | |15\11 |
| |D | | |86.124 |
| |''S''
| | |Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins |
| |1136.842
| |
| | colspan="2" |1107.895 | |
| | colspan="2" |1184.2105
| |
| | colspan="2" |1205.742
| |
| | colspan="2" |1218.045
| |
| | colspan="2" |1231.579
| |
| | colspan="2" |1243.421
| |
| | colspan="2" |1263.158
| |
| | colspan="2" |1274.047
| |
| | colspan="2" |1306.715
| |
| |1326.316
| |
| |- | | |- |
| |16 | | |26\19 |
| | colspan="2" |Eb | | |86.427 |
| |1212.632
| | | |
| | colspan="2" |1235.088
| |
| | colspan="2" |1363.156
| |
| | colspan="2" |1286.124
| |
| | colspan="2" |1299.248
| |
| | colspan="2" |1313.684
| |
| | colspan="2" |1326.316
| |
| | colspan="2" |1347.378
| |
| | colspan="2" |1359.984
| |
| | colspan="2" |1393.829 | |
| |1414.737
| |
| |- | | |- |
| |17 | | |11\8 |
| |D#
| | |''86.842'' |
| |''S#'' | | |Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins |
| |1288.421 | |
| | colspan="2" |1312.181
| |
| | colspan="2" |1042.105
| |
| | colspan="2" |1366.507
| |
| | colspan="2" |1380.451
| |
| | colspan="2" |1395.7895
| |
| | colspan="2" |1408.2105
| |
| | colspan="2" |1431.579
| |
| | colspan="2" |1443.98
| |
| | colspan="2" |1480.944
| |
| |1503.158
| |
| |- | | |- |
| |18 | | |18\13 |
| | colspan="2" |E | | |87.449 |
| |1364.2105
| | | |
| | colspan="2" |1389.474
| |
| | colspan="2" |1421.053
| |
| | colspan="2" |1446.89
| |
| | colspan="2" |1461.654
| |
| | colspan="2" |1477.895
| |
| | colspan="2" |1491.105
| |
| | colspan="2" |1515.7895
| |
| | colspan="2" |1526.8275
| |
| | colspan="2" |1568.058 | |
| |1591.579
| |
| |- | | |- |
| |19 | | |25\18 |
| | colspan="2" |F | | |87.719 |
| |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 |
| | |88.421 |
| | |Mixolydian-Ionian mode ends |
| | |}Golden/Pyrite Tunings±13¢ |
| | {| class="wikitable" style="text-align: center" |
| ! rowspan="2" |Degrees | | ! rowspan="2" |Degrees |
| ! colspan="2" rowspan="2" |Enneatonic | | ! colspan="2" 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" |Gb | | |Jb |
| |76.5195-77.888 | | |Ab |
| |80.758-82.127 | | |76.15-77.5185 |
| |82.806-84.174 | | |76.887-78.255 |
| | |79.435-80.804 |
| | |79.93-81.2985 |
| |- | | |- |
| |2 | | | |2 |
| | colspan="2" |F# | | | colspan="2" |G# |
| |153.039-155.776 | | |152.3-155.037 |
| |161.517-164.2535 | | |153.774-156.5105 |
| |165.612-168.349 | | |158.87-161.607 |
| | |159.86-162.597 |
| |- | | |- |
| | |3 | | | |3 |
| | colspan="2" |G
| |
| |229.559-233.664
| |
| |242.275-246.38
| |
| |248.418-252.523
| |
| |-
| |
| |4
| |
| |J | | |J |
| |''A'' | | |''A'' |
| |306.078-311.552 | | |228.45-232.555 |
| |323.033-328.507 | | |230.6605-234.766 |
| |331.224-336.698 | | |238.3055-242.411 |
| | |239.79-243.896 |
| |- | | |- |
| | |5 | | | |4 |
| |Ab
| |
| |''Bb''
| |
| |382.598-389.44
| |
| |403.792-410.634
| |
| |414.03-420.872
| |
| |-
| |
| | |6
| |
| |J#
| |
| |''A#''
| |
| |459.117-467.328
| |
| |484.55-492.76
| |
| |496.835-505.046
| |
| |-
| |
| |7
| |
| |A | | |A |
| |''B'' | | |''B'' |
| |535.637-545.216 | | |304.6-310.074 |
| |565.308-574.887 | | |307.547-313.021 |
| |579.342-589.221 | | |317.741-323.214 |
| | |319.72-325.164 |
| |- | | |- |
| | |8 | | | |5 |
| |B | | |Bb |
| |''H''
| |
| |612.156-623.1035
| |
| |646.0665-657.014
| |
| |662.448-673.395
| |
| |-
| |
| |9
| |
| |Hb
| |
| |''Cb'' | | |''Cb'' |
| |688.676-700.9915 | | |380.75-387.592 |
| |726.825-739.141 | | |384.434-391.276 |
| |745.254-757.57 | | |397.176-404.018 |
| | |399.6505-406.493 |
| |- | | |- |
| |10 | | | |6 |
| |B# | | |A# |
| |''H#'' | | |''B#'' |
| |765.195-778.879 | | |456.9-465.111 |
| |807.583-821.267 | | |461.321-469.5315 |
| |828.06-841.744 | | |476.611-484.8215 |
| | |479.581-487.791 |
| |- | | |- |
| |11 | | | |7 |
| |H | | |B |
| |''C'' | | |''C'' |
| |841.715-856.767. | | |533.05-542.926 |
| |888.341-903.394 | | |538.208-547.787 |
| |910.866-925.9185 | | |556.046-565.625 |
| | |559.511-569.09 |
| |- | | |- |
| | |12 | | |8 |
| |C | | |C |
| |''D'' | | |''Q'' |
| |918.234-934.655 | | |609.2-620.148 |
| |969.1-985.52
| | |615.095-626.042 |
| |993.672-1010.093
| | |635.481-648.429 |
| |-
| | |639.441-650.388 |
| |13
| |
| |Db
| |
| |''Sb''
| |
| |994.754-1012.543
| |
| |1049.858-1067.6475
| |
| |1076.478-1094.267
| |
| |-
| |
| | |14
| |
| |C#
| |
| |''D#''
| |
| |1071.273-1090.431
| |
| |1130.616-1149.774
| |
| |1159.284-1178.442
| |
| |-
| |
| |15
| |
| |D
| |
| |''S''
| |
| |1147.793-1168.319
| |
| |1211.375-1231.901
| |
| |1242.09-1262.616
| |
| |-
| |
| |16
| |
| | colspan="2" |Eb
| |
| |1224.312-1266.207
| |
| |1292.133-1314.028 | |
| |1324.896-1346.7905
| |
| |-
| |
| |17
| |
| |D#
| |
| |''S#''
| |
| |1300.832--1324.095
| |
| |1372.891-1396.1545
| |
| |1407.702-1430.965
| |
| |-
| |
| |18
| |
| | colspan="2" |E
| |
| |1377.351-1401.983
| |
| |1453.65-1478.281
| |
| |1490.507-1515.139
| |
| |-
| |
| |19
| |
| | 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" |Gb
| |
| |76.15
| |
| |76.834
| |
| |76.887
| |
| |77.5185
| |
| |77.571
| |
| |78.255
| |
| |79.435
| |
| |79.93
| |
| |80.119
| |
| |80.614
| |
| |80.804
| |
| |81.149
| |
| |-
| |
| |2
| |
| | colspan="2" |F#
| |
| |152.3
| |
| |153.6685
| |
| |153.774
| |
| |155.037
| |
| |155.142
| |
| |156.5105
| |
| |158.87
| |
| |159.86
| |
| |160.239
| |
| |161.229
| |
| |161.607
| |
| |162.297
| |
| |-
| |
| |3
| |
| | colspan="2" |G
| |
| |228.45
| |
| |230.503
| |
| |230.6605
| |
| |232.555
| |
| |232.713
| |
| |234.766
| |
| |238.3055
| |
| |239.79
| |
| |240.358
| |
| |241.843
| |
| |242.411
| |
| |243.446
| |
| |-
| |
| |4
| |
| |J
| |
| |''A''
| |
| |304.6
| |
| |307.337
| |
| |307.547
| |
| |310.074
| |
| |310.284
| |
| |313.021
| |
| |317.741
| |
| |319.72
| |
| |320.4775
| |
| |322.457
| |
| |323.214
| |
| |324.594
| |
| |-
| |
| |5
| |
| |Ab
| |
| |''Bb''
| |
| |380.75
| |
| |384.171
| |
| |384.434
| |
| |387.592
| |
| |387.855
| |
| |391.276
| |
| |397.176
| |
| |399.6505
| |
| |400.597
| |
| |403.3715
| |
| |404.018
| |
| |405.743
| |
| |-
| |
| |6
| |
| |J#
| |
| |''A#''
| |
| |456.9
| |
| |461.055
| |
| |461.321
| |
| |465.111
| |
| |465.426
| |
| |469.5315
| |
| |476.611
| |
| |479.581
| |
| |480.716
| |
| |483.686
| |
| |484.8215
| |
| |486.8915
| |
| |-
| |
| |7
| |
| |A
| |
| |''B''
| |
| |533.05
| |
| |537.84
| |
| |538.208
| |
| |542.926
| |
| |542.997
| |
| |547.787
| |
| |556.046
| |
| |559.511
| |
| |560.836
| |
| |564.3
| |
| |565.625
| |
| |568.04
| |
| |-
| |
| |8
| |
| |B
| |
| |''H''
| |
| |609.2
| |
| |614.074
| |
| |615.095
| |
| |620.148
| |
| |620.568
| |
| |626.042
| |
| |635.481 | |
| |639.441 | |
| |640.955
| |
| |644.9145
| |
| |648.429
| |
| |649.189
| |
| |- | | |- |
| |9 | | |9 |
| |Hb | | |Qb |
| |''Cb'' | | |''Db'' |
| |685.35 | | |685.35-697.666 |
| |691.508
| | |691.981-704.297 |
| |691.981 | | |714.9165-727.232 |
| |697.666
| | |719.371-731.687 |
| |698.139
| |
| |704.297
| |
| |714.9165 | |
| |719.371 | |
| |721.074
| |
| |725.529
| |
| |727.232
| |
| |730.337
| |
| |- | | |- |
| |10 | | |10 |
| |B# | | |C# |
| |''H#'' | | |''Q#'' |
| |761.5 | | |761.5-775.185 |
| |768.3425
| | |768.868-782.5525 |
| |768.868 | | |794.352-808.036 |
| |775.185
| | |799.301-812.985 |
| |775.71
| |
| |782.5525
| |
| |794.352 | |
| |799.301 | |
| |801.194
| |
| |806.143
| |
| |808.036
| |
| |811.486
| |
| |- | | |- |
| |11 | | |11 |
| |H | | |Q |
| |''C'' | | |''D'' |
| |837.6505 | | |837.6505-852.703 |
| |845.177
| | |845.755-860.808 |
| |845.755 | | |873.787-888.8395 |
| |852.703
| | |879.231-894.284 |
| |853.281
| |
| |860.808
| |
| |873.787 | |
| |879.231 | |
| |881.313
| |
| |886.757
| |
| |888.8395
| |
| |892.6345
| |
| |- | | |- |
| |12 | | |12 |
| |C | | |D |
| |''D'' | | |''S'' |
| |913.8005 | | |913.8005-930.222 |
| |922.011
| | |922.642-939.063 |
| |922.642 | | |953.222-969.643 |
| |930.222
| | |959.161-975.582. |
| |930.852
| |
| |939.063
| |
| |953.222 | |
| |959.161 | |
| |964.4325
| |
| |967.372
| |
| |969.643
| |
| |973.783
| |
| |- | | |- |
| |13 | | |13 |
| |Db | | | colspan="2" |Eb |
| |''Sb'' | | |989.951-1007.74 |
| |989.951 | | |999.529-1017.318 |
| |998.845
| | |1032.657-1050.447 |
| |999.529 | | |1039.091-1056.881 |
| |1007.74
| |
| |1008.4235
| |
| |1017.318
| |
| |1032.657 | |
| |1039.091 | |
| |1041.552
| |
| |1047.986
| |
| |1050.447
| |
| |1054.932
| |
| |- | | |- |
| |14 | | |14 |
| |C# | | |D# |
| |''D#'' | | |''S#'' |
| |1066.101 | | |1066.101-1085.2585 |
| |1075.68
| | |1076.416-1095.5735 |
| |1076.416 | | |1112.092-1131.25 |
| |1085.2585
| | |1119.021-1138.179 |
| |1085.9945
| |
| |1095.5735
| |
| |1112.092 | |
| |1119.021 | |
| |1121.671
| |
| |1128.6
| |
| |1131.25
| |
| |1136.08
| |
| |- | | |- |
| |15 | | |15 |
| |D | | | colspan="2" |E |
| |''S'' | | |1142.251-1162.777 |
| |1142.251 | | |1153.302-1173.829 |
| |1152.514
| | |1191.5275-1212.054 |
| |1153.302 | | |1198.9515-1219.478 |
| |1162.777
| |
| |1163.566
| |
| |1173.829
| |
| |1191.5275 | |
| |1198.9515 | |
| |1201.791
| |
| |1209.215
| |
| |1212.054
| |
| |1217.229
| |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Eb | | | colspan="2" |Fb |
| |1218.401 | | |1218.401-1240.295 |
| |1229.348
| | |1230.159-1525.054 |
| |1230.159 | | |1270.963-1292.857 |
| |1240.295
| | |1279.882-1300.776 |
| |1241.137
| |
| |1525.054
| |
| |1270.963 | |
| |1279.882 | |
| |1281.91
| |
| |1289.829
| |
| |1292.857
| |
| |1298.377
| |
| |- | | |- |
| |17 | | |17 |
| |D# | | | colspan="2" |E# |
| |''S#'' | | |1294.551-1317.814 |
| |1294.551 | | |1307.0769-1330.339 |
| |1306.182
| | |1350.298-1373.661 |
| |1307.0769 | | |1358.612-1382.075 |
| |1317.814
| |
| |1318.708
| |
| |1330.339
| |
| |1350.298 | |
| |1358.612 | |
| |1362.029
| |
| |1370.443
| |
| |1373.661
| |
| |1379.526
| |
| |- | | |- |
| |18 | | |18 |
| | colspan="2" |E | | | colspan="2" |F |
| |1370.701 | | |1370.701-1395.332 |
| |1383.017
| | |1383.963-1408.594 |
| |1383.963 | | |1429.833-1454.465 |
| |1395.332
| | |1438.742-1463.373 |
| |1396.279
| |
| |1408.594
| |
| |1429.833 | |
| |1438.742 | |
| |1442.149
| |
| |1451.0575
| |
| |1454.465
| |
| |1460.675
| |
| |- | | |- |
| |19 | | |19 |
| | colspan="2" |F | | | colspan="2" |G |
| |1446.851 | | |1446.851-1472.851 |
| |1459.851
| | |1460.85-1486.85 |
| |1460.85 | | |1509.268-1535.268 |
| |1472.851
| | |1518.672-1544.672 |
| |1473.85
| | |} |
| |1486.85
| | {| class="wikitable" style="text-align: center" |
| |1509.268 | |
| |1518.672 | |
| |1522.268
| |
| |1531.672
| |
| |1535.268
| |
| |1541.823
| |
| |}Neutral (Dorian-Mixolydian) mode Middletown temperament | |
| {| class="wikitable" | |
| |-
| |
| !Degrees | | !Degrees |
| ! colspan="2" |Enneatonic | | ! colspan="4" |Enneatonic |
| !+13¢ (S5D) | | !Mohajira |
| !Mean | | !Beatles |
| !-13¢ (s5M)
| |
| |- | | |- |
| |1 | | | |1 |
| | colspan="2" |Gb | | | colspan="2" |Gb |
| |81.2985 | | |Jb |
| |81.833 | | |Ab |
| |81.9905 | | |80.942-82.31 |
| | |81.149-82.517 |
| |- | | |- |
| |2 | | | |2 |
| | colspan="2" |F# | | | colspan="2" |F# |
| |162.597 | | | colspan="2" |G# |
| |163.666 | | |161.884-164.621 |
| |163.984 | | |162.297-165.034 |
| |- | | |- |
| |3 | | | |3 |
| | colspan="2" |G | | | colspan="2" |G |
| |243.896 | | |J |
| |245.498 | | |''A'' |
| |245.972 | | |242.826-246.931 |
| | |246.446-247.551 |
| |- | | |- |
| |4 | | | |4 |
| |J | | |J |
| |''A'' | | |''A'' |
| |325.164 | | |A |
| |327.331 | | |''B'' |
| |327.962 | | |323.7675-329.241 |
| | |324.594-330.068 |
| |- | | |- |
| |5 | | | |5 |
| |Ab | | |Ab |
| |''Bb'' | | |''Bb'' |
| |406.493 | | |Bb |
| |409.164 | | |''Cb'' |
| |409.953 | | |404.709-411.5515 |
| | |405.716-412.585 |
| |- | | |- |
| |6 | | | |6 |
| |J# | | |J# |
| |''A#'' | | |''A#'' |
| |487.791 | | |A# |
| |490.997 | | |''B#'' |
| |491.943 | | |485.651-493.862 |
| | |486.8915-495.102 |
| |- | | |- |
| |7 | | | |7 |
| |A | | |A |
| |''B'' | | |''B'' |
| |569.09 | | |B |
| |572.83 | | |''C'' |
| |573.934 | | |566.593-576.172 |
| | |568.04-577.619 |
| |- | | |- |
| |8 | | |8 |
| |B | | |B |
| |''H'' | | |''H'' |
| |650.388 | | |C |
| |654.662 | | |''Q'' |
| |655.924 | | |647.535-658.482 |
| | |649.189-660.136 |
| |- | | |- |
| |9 | | |9 |
| |Hb | | |Hb |
| |''Cb'' | | |''Cb'' |
| |731.687 | | |Qb |
| |736.495 | | |''Db'' |
| |737.915 | | |728.477-740.792 |
| | |730.337-742.653 |
| |- | | |- |
| |10 | | |10 |
| |B# | | |B# |
| |''H#'' | | |''H#'' |
| |812.985 | | |C# |
| |818.327 | | |''Q#'' |
| |819.9055 | | |809.419-823.103 |
| | |811.486-825.17 |
| |- | | |- |
| |11 | | |11 |
| |H | | |H |
| |''C'' | | |''C'' |
| |894.284 | | |Q |
| |900.161 | | |''D'' |
| |901.896 | | |890.361-905.413 |
| | |892.6345-907.687 |
| |- | | |- |
| |12 | | |12 |
| |C | | |C |
| |''D'' | | |''D'' |
| |975.582. | | |D |
| |981.994 | | |''S'' |
| |983.887
| | |971.302-987.7235 |
| | |973.783-990.204 |
| |- | | |- |
| |13 | | |13 |
| |Db | | |Db |
| |''Sb'' | | |''Sb'' |
| |1056.881 | | | colspan="2" |Eb |
| |1063.826 | | |1052.244-1070.034 |
| |1065.877 | | |1054.932-1072.721 |
| |- | | |- |
| |14 | | |14 |
| |C# | | |C# |
| |''D#'' | | |''D#'' |
| |1138.179 | | |D# |
| |1145.659 | | |''S#'' |
| |1147.868 | | |1133.186-1152.344 |
| | |1136.08-1155.238 |
| |- | | |- |
| |15 | | |15 |
| |D | | |D |
| |''S'' | | |''S'' |
| |1219.478 | | | colspan="2" |E |
| |1227.492 | | |1214.128-1234.654 |
| |1229.858 | | |1217.229-1237.755 |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Eb | | | colspan="2" |Eb |
| |1300.776 | | | colspan="2" |Fb |
| |1309.325 | | |1295.07-1316.965 |
| |1311.849 | | |1298.377-1320.272 |
| |- | | |- |
| |17 | | |17 |
| |D# | | |D# |
| |''S#'' | | |''S#'' |
| |1382.075 | | | colspan="2" |E# |
| |1391.158 | | |1376.012-1399.275 |
| |1393.839 | | |1379.526-1402.789 |
| |- | | |- |
| |18 | | |18 |
| | colspan="2" |E | | | colspan="2" |E |
| |1463.373 | | | colspan="2" |F |
| |1472.99 | | |1456.954-1481.585 |
| |1475.83 | | |1460.675-1485.306 |
| |- | | |- |
| |19 | | |19 |
| | colspan="2" |F | | | colspan="2" |F |
| |1544.672 | | | colspan="2" |G |
| |1554.823 | | |1537.8955-1563.8955 |
| |1557.82
| | |1541.823-1577.823 |
| |}Major mode Middletown temperament | | |} |
| {| class="wikitable" | | {| 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="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" |Gb | | | colspan="2" |Gb |
| |82.347 | | |81.9905-83.359 |
| |82.517
| | |82.347-83.716 |
| |82.675 | | |84.209-85.557 |
| |83.031
| | |85.598-86.967 |
| |83.359
| | |86.556-87.924 |
| |83.716
| |
| |84.209 | |
| |84.893
| |
| |85.557
| |
| |85.598 | |
| |86.2825
| |
| |86.556 | |
| |86.967
| |
| |87.24
| |
| |87.924
| |
| |- | | |- |
| |2 | | | |2 |
| | colspan="2" |F# | | | colspan="2" |F# |
| |164.695 | | |163.981-166.718 |
| |165.034
| | |164.694-167.431 |
| |165.3495
| | |168.417-171.154 |
| |166.063
| | |171.1965-173.933 |
| |166.718 | | |173.112-175.849 |
| |167.431
| |
| |168.417 | |
| |169.786
| |
| |171.154
| |
| |171.1965 | |
| |172.565
| |
| |173.112 | |
| |173.933
| |
| |174.48
| |
| |175.849
| |
| |- | | |- |
| |3 | | | |3 |
| | colspan="2" |G | | | colspan="2" |G |
| |247.0415 | | |245.971-250.077 |
| |247.551
| | |247.0415-251.147 |
| |248.024
| | |252.626-256.731 |
| |249.094
| | |256.795-260.9 |
| |250.077
| | |259.668-263.773 |
| |251.147 | |
| |252.626 | |
| |254.679
| |
| |256.731
| |
| |256.795 | |
| |258.847
| |
| |259.668 | |
| |260.9
| |
| |261.7205
| |
| |263.773
| |
| |- | | |- |
| |4 | | | |4 |
| |J | | |J |
| |''A'' | | |''A'' |
| |329.389 | | |327.962-333.436 |
| |330.068
| | |329.389-334.862 |
| |330.7
| | |336.835-342.308 |
| |332.1255
| | |342.393-347.867 |
| |333.436
| | |346.224-351.6975 |
| |334.862 | |
| |336.835 | |
| |339.571
| |
| |342.308
| |
| |342.393 | |
| |345.13
| |
| |346.224 | |
| |347.867
| |
| |348.961
| |
| |351.6975
| |
| |- | | |- |
| |5 | | | |5 |
| |Ab | | |Ab |
| |''Bb'' | | |''Bb'' |
| |411.736 | | |409.953-416.795 |
| |412.585
| | |411.736-418.578 |
| |413.374
| | |421.043-427.885 |
| |415.157
| | |427.991-434.833 |
| |416.795
| | |432.78-439.622 |
| |418.578 | |
| |421.043 | |
| |424.464
| |
| |427.885
| |
| |427.991 | |
| |431.412
| |
| |432.78 | |
| |434.833
| |
| |436.201
| |
| |439.622
| |
| |- | | |- |
| |6 | | | |6 |
| |J# | | |J# |
| |''A#'' | | |''A#'' |
| |494.083 | | |491.943-500.154 |
| |495.102
| | |494.083-502.2935 |
| |496.0485
| | |505.252-513.462 |
| |498.188
| | |513.59-521.8 |
| |500.154
| | |519.336-527.546 |
| |502.2935 | |
| |505.252 | |
| |509.357
| |
| |513.462
| |
| |513.59 | |
| |517.695
| |
| |519.336 | |
| |521.8
| |
| |523.441
| |
| |527.546
| |
| |- | | |- |
| |7 | | | |7 |
| |A | | |A |
| |''B'' | | |''B'' |
| |576.43 | | |573.934-583.513 |
| |577.619
| | |576.43-586.001 |
| |578.723
| | |589.4605-599.0395 |
| |581.22
| | |599.188-608.767 |
| |583.513
| | |605.892-615.471 |
| |586.001 | |
| |589.4602 | |
| |594.25
| |
| |599.0395
| |
| |599.188 | |
| |603.977
| |
| |605.892 | |
| |608.767
| |
| |610.681
| |
| |615.471
| |
| |- | | |- |
| |8 | | |8 |
| |B | | |B |
| |''H'' | | |''H'' |
| |658.777 | | |655.924-666.872 |
| |660.136
| | |658.777-669.725 |
| |661.398
| | |673.669-684.6165 |
| |664.251
| | |684.786-694.733 |
| |666.872
| | |692.448-703.395 |
| |669.725 | |
| |673.669 | |
| |679.143
| |
| |684.6165
| |
| |684.786 | |
| |690.26
| |
| |692.448 | |
| |694.733
| |
| |697.921
| |
| |703.395
| |
| |- | | |- |
| |9 | | |9 |
| |Hb | | |Hb |
| |''Cb'' | | |''Cb'' |
| |741.1245 | | |737.915-750.231 |
| |742.653
| | |741.1245-752.44 |
| |744.073
| | |757.878-770.194 |
| |747.282
| | |770.384-782.7 |
| |750.231
| | |779.004-791.319 |
| |752.44 | |
| |757.878 | |
| |764.036
| |
| |770.194
| |
| |770.384 | |
| |776.542
| |
| |779.004 | |
| |782.7
| |
| |785.1615
| |
| |791.319
| |
| |- | | |- |
| |10 | | |10 |
| |B# | | |B# |
| |''H#'' | | |''H#'' |
| |834.451 | | |819.9055-833.59 |
| |825.17
| | |834.451-837.156 |
| |826.748
| | |842.086-855.771 |
| |830.314
| | |855.983-879.244 |
| |833.59
| | |865.56-881.262 |
| |837.156 | |
| |842.086 | |
| |848.9285
| |
| |855.771
| |
| |855.983 | |
| |862.825
| |
| |865.56 | |
| |881.262
| |
| |872.402
| |
| |879.244
| |
| |- | | |- |
| |11 | | |11 |
| |H | | |H |
| |''C'' | | |''C'' |
| |905.819 | | |901.896-916.949 |
| |907.687
| | |905.819-917.156 |
| |909.422
| | |926.295-941.348 |
| |913.345
| | |941.581-956.6335 |
| |916.949
| | |952.1155-967.168 |
| |917.156 | |
| |926.295 | |
| |933.821
| |
| |941.348
| |
| |941.581 | |
| |949.107
| |
| |952.1155 | |
| |956.6335
| |
| |959.642
| |
| |967.168
| |
| |- | | |- |
| |12 | | |12 |
| |C | | |C |
| |''D'' | | |''D'' |
| |988.166 | | |983.887-1000.308 |
| |990.304
| | |988.166-1000.8715 |
| |992.097
| | |1010.503-1026.925 |
| |996.3765
| | |1027.179-1043.6 |
| |1000.308
| | |1038.6715-1055.093 |
| |1000.8715 | |
| |1010.503 | |
| |1018.714
| |
| |1026.925
| |
| |1027.179 | |
| |1035.39
| |
| |1038.6715 | |
| |1043.6
| |
| |1046.882
| |
| |1055.093
| |
| |- | | |- |
| |13 | | |13 |
| |Db | | |Db |
| |''Sb'' | | |''Sb'' |
| |1070.513 | | |1065.877-1083.667 |
| |1072.721
| | |1070.513-1084.587 |
| |1074.772
| | |1094.712-1112.502 |
| |1079.408
| | |1112.777-1130.567 |
| |1083.667
| | |1125.2275-1143.017 |
| |1084.587 | |
| |1094.712 | |
| |1103.607
| |
| |1112.502
| |
| |1112.777 | |
| |1121.672
| |
| |1125.2275 | |
| |1130.567
| |
| |1134.122
| |
| |1143.017
| |
| |- | | |- |
| |14 | | |14 |
| |C# | | |C# |
| |''D#'' | | |''D#'' |
| |1152.86 | | |1147.868-1167.026 |
| |1152.238
| | |1152.86-1168.303 |
| |1157.44
| | |1178.921-1198.079 |
| |1162.439
| | |1198.376-1217.5335 |
| |1167.026
| | |1211.783-1230.941 |
| |1168.303 | |
| |1178.921 | |
| |1188.5
| |
| |1198.079
| |
| |1198.376 | |
| |1207.955
| |
| |1211.783 | |
| |1217.5335
| |
| |1221.362
| |
| |1230.941
| |
| |- | | |- |
| |15 | | |15 |
| |D | | |D |
| |''S'' | | |''S'' |
| |1235.2075 | | |1229.858-1250.3845 |
| |1237.755
| | |1235.2075-1252.018 |
| |1240.121
| | |1263.13-1283.656 |
| |1245.471
| | |1283.974-1304.5 |
| |1250.3845
| | |1298.339-1318.451 |
| |1252.018 | |
| |1263.13 | |
| |1273.392
| |
| |1283.656
| |
| |1283.974 | |
| |1294.237
| |
| |1298.339 | |
| |1304.5
| |
| |1308.6025
| |
| |1318.451
| |
| |- | | |- |
| |16 | | |16 |
| | colspan="2" |Eb | | | colspan="2" |Eb |
| |1317.555 | | |1311.849-1333.743 |
| |1320.272
| | |1317.555-1339.734 |
| |1322.796
| | |1347.338-1369.233 |
| |1328.502
| | |1369.572-1389.467 |
| |1333.743
| | |1384.895-1406.79 |
| |1335.734 | |
| |1347.338 | |
| |1358.286
| |
| |1369.233
| |
| |1369.572 | |
| |1380.5195
| |
| |1384.895 | |
| |1389.467
| |
| |1395.843
| |
| |1406.79
| |
| |- | | |- |
| |17 | | |17 |
| |D# | | |D# |
| |''S#'' | | |''S#'' |
| |1355.983 | | |1393.839-1417.1025 |
| |1402.789
| | |1399.912-1423.165 |
| |1405.471
| | |1431.547-1454.81 |
| |1411.533
| | |1455.17-1478.434 |
| |1417.1025
| | |1471.451-1494.7145 |
| |1378.517 | |
| |1431.547 | |
| |1443.1785
| |
| |1454.81
| |
| |1455.17 | |
| |1466.802
| |
| |1471.451 | |
| |1478.434
| |
| |1483.083
| |
| |1494.7145
| |
| |- | | |- |
| |18 | | |18 |
| | colspan="2" |E | | | colspan="2" |E |
| |1399.902 | | |1475.83-1500.461 |
| |1485.306
| | |1399.902-1499.446 |
| |1488.149
| | |1515.756-1540.387 |
| |1494.565
| | |1540.769-1565.4 |
| |1500.461
| | |1558.007-1582.639 |
| |1499.446 | |
| |1515.756 | |
| |1528.071
| |
| |1540.387
| |
| |1540.769 | |
| |1553.0845
| |
| |1558.007 | |
| |1565.4
| |
| |1570.323
| |
| |1582.639
| |
| |- | | |- |
| |19 | | |19 |
| | colspan="2" |F | | | colspan="2" |F |
| |1564.596 | | |1557.82-1583.82 |
| |1567.96
| | |1564.596-1590.596 |
| |1570.82
| | |1599.964-1625.964 |
| |1577.596 | | |1626.366-1652.366 |
| |1583.82
| | |1644.563-1670.563 |
| |1590.596
| |
| |1599.964 | |
| |1612.964
| |
| |1625.964
| |
| |1626.366 | |
| |1639.366
| |
| |1644.563 | |
| |1652.366
| |
| |1657.563
| |
| |1670.563
| |
| |} | | |} |
| | |
| | == See also == |
| | * [[19ed5/2]] - equal division of the classic major tenth |
| | * [[19ed7/3]] - equal division of the septimal minor tenth |
| | |
| [[Category:EdX]] | | [[Category:EdX]] |