|
|
(8 intermediate revisions by 3 users not shown) |
Line 1: |
Line 1: |
| | {{Infobox ET}} |
| | {{ED intro}} |
| | |
| | While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37. |
| | |
| | 38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes. |
| | |
| == Intervals == | | == Intervals == |
| {| class="wikitable" | | {| class="wikitable" |
| !Degrees | | !Degrees |
| ! colspan="2" |Enneatonic | | ! colspan="2" |Enneatonic |
| !ed43\36 | | ! colspan="2" |ed11\9~ed7/3 |
| !Pyrite<sub>v</sub>
| |
| !ed6\5~32ed1213¢
| |
| !18ed4\7
| |
| !ed35\29
| |
| !''ed29\24=r¢<sub>v</sub>''
| |
| !ed23\19
| |
| !Pyrite<sub>r¢</sub>~31ed1187¢
| |
| !ed17\14
| |
| !Golden<sub>v</sub>
| |
| !ed39\32
| |
| !ed11\9~ed7/3
| |
| !30ed1160¢
| |
| !31edo
| |
| !(21ed8/5+25ed7/4)/2~32ed1240¢
| |
| !Golden<sub>v</sub>
| |
| !ed16\13
| |
| !ed37\30
| |
| !18edf~39cet~ed21\17
| |
| !ed26\21
| |
| !31ed1213¢~26ed9/5
| |
| !12.5πcET~ed56\45
| |
| !ed91\73
| |
| !8ed6/5~''ed5\4=r¢<sub>^</sub>''
| |
| |- | | |- |
| | rowspan="2" |1 | | | rowspan="2" |1 |
| | colspan="2" |G^ | | | colspan="2" |G^ |
| | rowspan="2" |37.7193
| |
| | rowspan="2" |37.8367
| |
| | rowspan="2" |37.8947
| |
| 37.90625
| |
| | rowspan="2" |38.0952
| |
| | rowspan="2" |38.1126
| |
| | rowspan="2" |''38.1579''
| |
| | rowspan="2" |38.22715
| |
| | rowspan="2" |38.2808
| |
| 38.2903
| |
| | rowspan="2" |38.3459
| |
| | rowspan="2" |38.4171
| |
| | rowspan="2" |38.4868
| |
| | rowspan="2" |38.5965 | | | rowspan="2" |38.5965 |
| 38.6019
| | | rowspan="2" |38.6019 |
| | rowspan="2" |38.6667 | |
| | rowspan="2" |38.7097
| |
| | rowspan="2" |38.747
| |
| 38.75(3)
| |
| | rowspan="2" |38.7855
| |
| | rowspan="2" |38.8664
| |
| | rowspan="2" |38.9474
| |
| | rowspan="2" |38.9975
| |
| 39(.0093)
| |
| | rowspan="2" |39.0977
| |
| | rowspan="2" |39.129
| |
| | |
| 39.1383
| |
| | rowspan="2" |39.2699
| |
| | |
| 39.29825
| |
| | rowspan="2" |39.3655
| |
| | rowspan="2" |39.4552
| |
| ''39.4737''
| |
| |- | | |- |
| |Jbv | | |Jbv |
Line 71: |
Line 23: |
| |Jb | | |Jb |
| |''Ab'' | | |''Ab'' |
| |75.4386
| |
| |75.6734
| |
| |75.7895
| |
| 75.8125
| |
| |76.1905
| |
| |76.22505
| |
| |''76.3158''
| |
| |76.4543
| |
| |76.5615
| |
| 76.58065
| |
| |76.6917
| |
| |76.83425
| |
| |769.7368
| |
| |77.193 | | |77.193 |
| 77.2037 | | |77.2037 |
| |77.3333
| |
| |77.4194
| |
| |77.494
| |
| 77.5(061)
| |
| |77.571
| |
| |77.7328
| |
| |77.8947
| |
| |77.995
| |
| 78(.0186)
| |
| |78.1955
| |
| |78.2581
| |
| | |
| 156.5533
| |
| |78.5398
| |
| | |
| 78.5965
| |
| |78.7311
| |
| |78.9103
| |
| ''78.9474''
| |
| |- | | |- |
| | rowspan="2" |3 | | | rowspan="2" |3 |
| |Jb^ | | |Jb^ |
| |''Ab^'' | | |''Ab^'' |
| | rowspan="2" |113.1579
| |
| | rowspan="2" |113.5101
| |
| | rowspan="2" |113.6842
| |
| 113.71875
| |
| | rowspan="2" |114.2857
| |
| | rowspan="2" |114.3376
| |
| | rowspan="2" |''114.4737''
| |
| | rowspan="2" |114.6814
| |
| | rowspan="2" |114.8423
| |
| 114.871
| |
| | rowspan="2" |115.0376
| |
| | rowspan="2" |115.2514
| |
| | rowspan="2" |115.6053
| |
| | rowspan="2" |115.7895 | | | rowspan="2" |115.7895 |
| 115.8056
| | | rowspan="2" |115.8056 |
| | rowspan="2" |116 | |
| | rowspan="2" |116.129
| |
| | rowspan="2" |116.241
| |
| 116.25(91)
| |
| | rowspan="2" |116.35655
| |
| | rowspan="2" |116.5992
| |
| | rowspan="2" |116.8421
| |
| | rowspan="2" |116.9925
| |
| 117(.0279)
| |
| | rowspan="2" |117.2932
| |
| | rowspan="2" |117.3871
| |
| | |
| 117.415
| |
| | rowspan="2" |117.8097
| |
| | |
| 117.8947
| |
| | rowspan="2" |118.0966
| |
| | rowspan="2" |118.3655
| |
| ''118.42105''
| |
| |- | | |- |
| | colspan="2" |G#v | | | colspan="2" |G#v |
Line 148: |
Line 36: |
| |4 | | |4 |
| | colspan="2" |G# | | | colspan="2" |G# |
| |150.8772
| |
| |151.3468
| |
| |151.57895
| |
| 151.625
| |
| |152.38095
| |
| |152.4501
| |
| |''152.6316''
| |
| |152.9086
| |
| |153.1231
| |
| 153.1613
| |
| |153.3835
| |
| |153.6685
| |
| |153.9473
| |
| |154.386 | | |154.386 |
| 154.4075 | | |154.4075 |
| |154.6667
| |
| |154.8387
| |
| |154.9879
| |
| 155(.01215)
| |
| |155.1421
| |
| |155.4656
| |
| |155.7895
| |
| |155.99
| |
| 156(.03715)
| |
| |156.391
| |
| |156.5161
| |
| | |
| 156.5533
| |
| |157.0796
| |
| | |
| 157.193
| |
| |157.46215
| |
| |157.8206
| |
| ''157.8947''
| |
| |- | | |- |
| | rowspan="2" |5 | | | rowspan="2" |5 |
| | colspan="2" |G#^ | | | colspan="2" |G#^ |
| | rowspan="2" |188.5965
| |
| | rowspan="2" |189.1835
| |
| | rowspan="2" |189.4737
| |
| 189.53125
| |
| | rowspan="2" |190.4762
| |
| | rowspan="2" |190.5626
| |
| | rowspan="2" |''190.7895''
| |
| | rowspan="2" |191.1357
| |
| | rowspan="2" |191.4039
| |
| 191.4516
| |
| | rowspan="2" |191.2293
| |
| | rowspan="2" |192.0856
| |
| | rowspan="2" |192.4342
| |
| | rowspan="2" |192.98245 | | | rowspan="2" |192.98245 |
| 193.0093
| | | rowspan="2" |193.0093 |
| | rowspan="2" |193.3333 | |
| | rowspan="2" |193.5484
| |
| | rowspan="2" |193.7348
| |
| 193.7(6)5(2)
| |
| | rowspan="2" |193.9276
| |
| | rowspan="2" |194.332
| |
| | rowspan="2" |194.7368
| |
| | rowspan="2" |194.9875
| |
| 195(.0464)
| |
| | rowspan="2" |195.4887
| |
| | rowspan="2" |195.6452
| |
| | |
| 195.6916
| |
| | rowspan="2" |196.3495
| |
| | |
| 196.4912
| |
| | rowspan="2" |196.827t
| |
| | rowspan="2" |197.2758
| |
| ''197.3684''
| |
| |- | | |- |
| |Jv | | |Jv |
Line 226: |
Line 50: |
| |J | | |J |
| |''A'' | | |''A'' |
| |226.3158
| |
| |227.0202
| |
| |227.3684
| |
| 227.4375
| |
| |228.5714
| |
| |228.6751
| |
| |''228.9474''
| |
| |229.3629
| |
| |229.6846
| |
| 229.7419
| |
| |230.0752
| |
| |230.5028
| |
| |230.92105
| |
| |231.57895 | | |231.57895 |
| 231.6112 | | |231.6112 |
| |232
| |
| |232.2581
| |
| |232.4818
| |
| 232.5(182)
| |
| |232.7131
| |
| |233.1984
| |
| |233.6842
| |
| |233.985
| |
| 234(.0557)
| |
| |234.5865
| |
| |234.7742
| |
| | |
| 234.8299
| |
| |235.61945
| |
| | |
| 235.7895
| |
| |236.1932
| |
| |236.731
| |
| ''236.8421''
| |
| |- | | |- |
| |7 | | |7 |
| |J^/Av | | |J^/Av |
| |''A^/Bv'' | | |''A^/Bv'' |
| |264.0351
| |
| |264.85685
| |
| |265.2632
| |
| 266.34375
| |
| |266.6667
| |
| |266.7877
| |
| |''267.1053''
| |
| |267.59
| |
| |267.9654
| |
| 268.0323
| |
| |268.42105
| |
| |268.9199
| |
| |269.4079
| |
| |270.1754 | | |270.1754 |
| 270.2131 | | |270.2131 |
| |270.6667
| |
| |270.9677
| |
| |271.2288
| |
| 271.(271)25
| |
| |271.4986
| |
| |272.0648
| |
| |272.6316
| |
| |272.9825
| |
| 273(.065)
| |
| |273.6842
| |
| |273.9032
| |
| | |
| 273.9682
| |
| |274.8894
| |
| | |
| 275.0877
| |
| |275.5588
| |
| |276.1861
| |
| ''276.3158''
| |
| |- | | |- |
| |8 | | |8 |
| |A | | |A |
| |''B'' | | |''B'' |
| |301.7544
| |
| |302.69355
| |
| |303.1579
| |
| 303.25
| |
| |304.7619
| |
| |304.9002
| |
| |''305.2632''
| |
| |305.8172
| |
| |306.2462
| |
| 306.3226
| |
| |306.7669
| |
| |307.337
| |
| |307.8947
| |
| |308.7719 | | |308.7719 |
| 308.8149 | | |308.8149 |
| |309.3333
| |
| |309.6774
| |
| |309.9757
| |
| 310(.0243)
| |
| |310.5841
| |
| |310.9312
| |
| |311.57895
| |
| |311.98
| |
| 312(.0743)
| |
| |312.782
| |
| |313.0323
| |
| | |
| 313.10655
| |
| |314.1593
| |
| | |
| 314.386
| |
| |314.9243
| |
| |315.6413
| |
| ''315.7895''
| |
| |- | | |- |
| |9 | | |9 |
| |A^/Bbv | | |A^/Bbv |
| |B^/Cbv | | |B^/Cbv |
| |339.4737
| |
| |340.5302
| |
| |341.0526
| |
| 341.15625
| |
| |342.8571
| |
| |343.0127
| |
| |''343.42105''
| |
| |344.0443
| |
| |344.5269
| |
| 344.6129
| |
| |345.1128
| |
| |345.75415
| |
| |346.3816
| |
| |347.3684 | | |347.3684 |
| 347.4168 | | |347.4168 |
| |348
| |
| |348.3871
| |
| |348.7227
| |
| 348.75
| |
| | |
| 348.7773
| |
| |349.0697
| |
| |349.7976
| |
| |350.5263
| |
| |350.9775
| |
| 351(.0836)
| |
| |351.8797
| |
| |352.1613
| |
| | |
| 352.2449
| |
| |353.4292
| |
| | |
| 353.6842
| |
| |354.2898
| |
| |355.0964
| |
| ''355.2632''
| |
| |- | | |- |
| |10 | | |10 |
| |Bb | | |Bb |
| |''Cb'' | | |''Cb'' |
| |377.193
| |
| |378.3669
| |
| |378.9474
| |
| 379.0625
| |
| |380.9524
| |
| |381.1252
| |
| |''381.57895''
| |
| |382.2715
| |
| |382.8077
| |
| 382.9032
| |
| |383.45865
| |
| |384.1713
| |
| |384.6842
| |
| |385.9649 | | |385.9649 |
| 386.0187 | | |386.0187 |
| |386.6667
| |
| |387.0968
| |
| |387.4697
| |
| 387.5(304)
| |
| |387.8552
| |
| |388.664
| |
| |389.4737
| |
| |389.975
| |
| 390(.0929)
| |
| |390.9774
| |
| |391.2903
| |
| | |
| 391.3832
| |
| |392.6991
| |
| | |
| 392.9825
| |
| |393.6554
| |
| |394.5516
| |
| ''394.7368''
| |
| |- | | |- |
| |11 | | |11 |
| |Bb^/A#v | | |Bb^/A#v |
| |''Cb^/B#''v | | |''Cb^/B#''v |
| |414.9123
| |
| |416.2036
| |
| |416.8421
| |
| 416.96875
| |
| |419.0476
| |
| |419.2377
| |
| |''419.7368''
| |
| |420.4986
| |
| |421.0885
| |
| 421.19355
| |
| |421.8045
| |
| |422.5884
| |
| |423.3552
| |
| |424.5614 | | |424.5614 |
| 424.6205 | | |424.6205 |
| |425.3333
| |
| |425.80645
| |
| |426.2166
| |
| 426.25
| |
| | |
| 426.2834
| |
| |426.6407
| |
| |427.5304
| |
| |428.42105
| |
| |428.9725
| |
| 429(.1022)
| |
| |430.0751
| |
| |430.41935
| |
| | |
| 430.5215
| |
| |431.969
| |
| | |
| 432.2807
| |
| |433.0209
| |
| |434.0068
| |
| ''434.2105''
| |
| |- | | |- |
| |12 | | |12 |
| |A# | | |A# |
| |''B#'' | | |''B#'' |
| |452.6316
| |
| |454.0403
| |
| |454.7368
| |
| 454.875
| |
| |457.1429
| |
| |457.3503
| |
| |''457.8947''
| |
| |458.7258
| |
| |459.3693
| |
| 459.4839
| |
| |460.1504
| |
| |461.0055
| |
| |461.8421
| |
| |463.1579 | | |463.1579 |
| 463.2224 | | |463.2224 |
| |464
| |
| |464.5161
| |
| |464.9636
| |
| 465(.0364)
| |
| |465.4262
| |
| |466.3968
| |
| |467.3684
| |
| |467.97
| |
| 468(.1115)
| |
| |469.1729
| |
| |469.5484
| |
| | |
| 469.6598
| |
| |471.2389
| |
| | |
| 471.57895
| |
| |472.38645
| |
| |473.4619
| |
| ''473.6842''
| |
| |- | | |- |
| |13 | | |13 |
| |A#^/Bv | | |A#^/Bv |
| |''B#^/Cv'' | | |''B#^/Cv'' |
| |490.3509
| |
| |491.877
| |
| |491.6316
| |
| 491.78125
| |
| |495.2381
| |
| |495.4628
| |
| |''496.0526''
| |
| |496.9529
| |
| |497.65
| |
| 497.7742
| |
| |498.4962
| |
| |499.4227
| |
| |500.32895
| |
| |501.7544 | | |501.7544 |
| 501.8243
| |
| |502.6667 | | |502.6667 |
| |503.2258
| |
| |503.7106
| |
| 503.7(89)5
| |
| |504.2117
| |
| |505.2632
| |
| |506.3158
| |
| |506.9675
| |
| 507(.1207)
| |
| |508.2707
| |
| |508.6774
| |
|
| |
| 508.7981
| |
| |510.5088
| |
|
| |
| 510.8772
| |
| |511.752
| |
| |512.9171
| |
| ''513.1579''
| |
| |- | | |- |
| |14 | | |14 |
| |B | | |B |
| |''C'' | | |''C'' |
| |528.0702
| |
| |529.7137
| |
| |530.5263
| |
| 530.6875
| |
| |533.3333
| |
| |533.5753
| |
| |''534.2105''
| |
| |535.1801
| |
| |535.9308
| |
| 536.0645
| |
| |536.8421
| |
| |537.8398
| |
| |538.8158
| |
| |540.3509 | | |540.3509 |
| 540.4261 | | |540.4261 |
| |541.3333
| |
| |541.9355
| |
| |542.4575
| |
| 542.5(425)
| |
| |542.99725
| |
| |544.12955
| |
| |545.2632
| |
| |545.965
| |
| 546(.13)
| |
| |547.3684
| |
| |547.80645
| |
| | |
| 547.9365
| |
| |549.7787
| |
| | |
| 550.1754
| |
| |551.1175
| |
| |552.37225
| |
| ''552.6316''
| |
| |- | | |- |
| |15 | | |15 |
| |B^/Cv | | |B^/Cv |
| |''C^/Qv'' | | |''C^/Qv'' |
| |565.7895
| |
| |567.5504
| |
| |568.42105
| |
| 568.59375
| |
| |571.4286
| |
| |571.6878
| |
| |''572.3684''
| |
| |573.4072
| |
| |574.2116
| |
| 574.3548
| |
| |575.188
| |
| |576.2569
| |
| |377.3026
| |
| |578.9474 | | |578.9474 |
| 579.028 | | |579.028 |
| |580
| |
| |580.6452
| |
| |581.2045
| |
| 581.2(94)5
| |
| |581.7828
| |
| |582.99595
| |
| |583.2105
| |
| |584.9625
| |
| 585(.1393)
| |
| |586.4661
| |
| |586.9355
| |
| | |
| 587.0748
| |
| |589.0486
| |
| | |
| 589.4737
| |
| |590.4831
| |
| |591.8274
| |
| ''592.1053''
| |
| |- | | |- |
| |16 | | |16 |
| |C | | |C |
| |''Q'' | | |''Q'' |
| |603.5088
| |
| |605.3871
| |
| |606.3158
| |
| 606.5
| |
| |609.5238
| |
| |609.8004
| |
| |''610.5263''
| |
| |611.63435
| |
| |612.4923
| |
| 612.6452
| |
| |612.5338
| |
| |614.674
| |
| |615.8947
| |
| |617.5439 | | |617.5439 |
| 617.6299 | | |617.6299 |
| |618.6667
| |
| |619.3548
| |
| |619.9515
| |
| 620(.0486)
| |
| |620.5683
| |
| |621.86235
| |
| |623.1579
| |
| |623.96
| |
| 624(.1486)
| |
| |625.5639
| |
| |626.0645
| |
| | |
| 626.2131
| |
| |628.3185
| |
| | |
| 628.7719
| |
| |629.8486
| |
| |631.2826
| |
| ''631.57895''
| |
| |- | | |- |
| |17 | | |17 |
| |C^/Qbv | | |C^/Qbv |
| |''Q^/Dbv'' | | |''Q^/Dbv'' |
| |641.2281
| |
| |643.2238
| |
| |644.2105
| |
| 644.40625
| |
| |647.61905
| |
| |647.9129
| |
| |''648.6842''
| |
| |649.8615
| |
| |650.7731
| |
| 650.9355
| |
| |651.8797
| |
| |653.0912
| |
| |654.2763
| |
| |656.14035 | | |656.14035 |
| 656.2317 | | |656.2317 |
| |657.3333
| |
| |658.0645
| |
| |658.6984
| |
| 658.75
| |
| | |
| 658.8016
| |
| |659.3538
| |
| |660.7587
| |
| |661.1053
| |
| |662.9575
| |
| 663(.1579)
| |
| |664.66165
| |
| |665.19355
| |
| | |
| 665.3514
| |
| |667.5884
| |
| | |
| 668.0702
| |
| |669.2141
| |
| |670.7377
| |
| ''671.0526''
| |
| |- | | |- |
| |18 | | |18 |
| |Qb | | |Qb |
| |''Db'' | | |''Db'' |
| |678.9474
| |
| |681.0605
| |
| |682.1053
| |
| 682.3125
| |
| |685.7143
| |
| |686.0254
| |
| |''686.8421''
| |
| |688.0886
| |
| |689.0538
| |
| 689.2258
| |
| |690.2256
| |
| |691.5083
| |
| |692.7632
| |
| |694.7368 | | |694.7368 |
| 694.8336 | | |694.8336 |
| |696
| |
| |696.7742
| |
| |697.4454
| |
| 697.5(5465)
| |
| |698.1393
| |
| |699.5951
| |
| |701.0526
| |
| |701.955
| |
| 702(.1672)
| |
| |703.7594
| |
| |704.3226
| |
| | |
| 704.4897
| |
| |706.85835
| |
| | |
| 707.3684
| |
| |708.5797
| |
| |710.1929
| |
| ''710.5263''
| |
| |- | | |- |
| |19 | | |19 |
| |Qb^/C#v | | |Qb^/C#v |
| |''Db^/Q#v'' | | |''Db^/Q#v'' |
| |716.6667 | | |733.{{Overline|3}} |
| |718.8972 | | |733.43545 |
| |720(.21875)
| |
| |723.8095
| |
| |724.1379
| |
| |''725''
| |
| |726.3158
| |
| |727.3347
| |
| 727.5161
| |
| |728.5714
| |
| |729.9254
| |
| |731.25
| |
| |733.3333 | |
| 733.43545 | |
| |734.6667
| |
| |735.4839
| |
| |736.(19)2(3)5
| |
| 736.3077
| |
| |736.9248
| |
| |738.4615
| |
| |740
| |
| |740.9525
| |
| 741(.1765)
| |
| |742.8571
| |
| |743.4516
| |
| | |
| 743.6281
| |
| |746.1283
| |
| | |
| 746.6667
| |
| |747.9452
| |
| |749.6481
| |
| ''750''
| |
| |- | | |- |
| |20 | | |20 |
| |C# | | |C# |
| |''Q#'' | | |''Q#'' |
| |754.386
| |
| |756.7339
| |
| |757.8947
| |
| 758.125
| |
| |761.9048
| |
| |762.25045
| |
| |''763.1579''
| |
| |764.54294
| |
| |765.6154
| |
| 765.80645
| |
| |766.9173
| |
| |768.34255
| |
| |769.3684
| |
| |771.9298 | | |771.9298 |
| 772.0373 | | |772.0373 |
| |773.3333
| |
| |774.19355
| |
| |774.9393
| |
| 775(.0607)
| |
| |775.7104
| |
| |777.3279
| |
| |778.9474
| |
| |779.95
| |
| 780(.1858)
| |
| |781.9549
| |
| |782.58065
| |
| | |
| 782.7664
| |
| |785.3982
| |
| | |
| 785.9649
| |
| |787.3107
| |
| |789.1032
| |
| ''789.4737''
| |
| |- | | |- |
| |21 | | |21 |
| |C#^/Qv | | |C#^/Qv |
| |''Q#/Dv'' | | |''Q#/Dv'' |
| |792.1053
| |
| |794.5706
| |
| |795.7895
| |
| 796.03125
| |
| |800
| |
| |800.363
| |
| |''801.3158''
| |
| |802.7701
| |
| |803.8962
| |
| 804.0968
| |
| |805.2632
| |
| |806.7597
| |
| |808.2237
| |
| |810.5263 | | |810.5263 |
| 810.6392 | | |810.6392 |
| |812
| |
| |812.9032
| |
| |813.6863
| |
| 813.75
| |
| | |
| 813.8138
| |
| |814.4959
| |
| |816.1943
| |
| |817.8947
| |
| |818.9475
| |
| 819(.19505)
| |
| |821.0526
| |
| |821.7097
| |
| | |
| 821.9047
| |
| |824.6681
| |
| | |
| 825.2632
| |
| |826.6763
| |
| |828.5584
| |
| ''828.9474''
| |
| |- | | |- |
| |22 | | |22 |
| |Q | | |Q |
| |''D'' | | |''D'' |
| |829.8246
| |
| |832.4073
| |
| |833.6842
| |
| 833.9375
| |
| |838.0952
| |
| |838.4755
| |
| |''839.473''7
| |
| |840.99723
| |
| |842.177
| |
| 842.3871
| |
| |843.609
| |
| |845.1768
| |
| |846.1053
| |
| |849.1228 | | |849.1228 |
| 849.24105 | | |849.24105 |
| |850.6667
| |
| |851.6129
| |
| |852.(4332)5[668]
| |
| |853.2814
| |
| |855.0607
| |
| |856.8421
| |
| |857.945
| |
| 858(.2043)
| |
| |860.1504
| |
| |860.8387
| |
| 861.043
| |
| |863.938
| |
| | |
| 864.5614
| |
| |866.0418
| |
| |868.0135
| |
| ''868.42105''
| |
| |- | | |- |
| |23 | | |23 |
| |Q^/Dv | | |Q^/Dv |
| |''D^/Sv'' | | |''D^/Sv'' |
| |867.5439
| |
| |870.24395
| |
| |871.57895
| |
| 871.84375
| |
| |876.1905
| |
| |876.588
| |
| |''877.6316''
| |
| |879.2244
| |
| |880.45775
| |
| 880.6774
| |
| |881.9549
| |
| |883.5939
| |
| |885.1974
| |
| |887.7193 | | |887.7193 |
| 887.8429 | | |887.8429 |
| |889.3333
| |
| |890.3226
| |
| |891.1802
| |
| 891.25
| |
| | |
| 891.3198
| |
| |892.0669
| |
| |893.9271
| |
| |895.7895
| |
| |896.9425
| |
| 897(.2136)
| |
| |899.2481
| |
| |899.9677
| |
| | |
| 900.1813
| |
| |903.2079
| |
| | |
| 903.85965
| |
| |905.40735
| |
| |907.4687
| |
| ''907.8947''
| |
| |- | | |- |
| |24 | | |24 |
| |D | | |D |
| |''S'' | | |''S'' |
| |905.2632
| |
| |908.0806
| |
| |909.4737
| |
| 909.75
| |
| |914.2857
| |
| |914.7005
| |
| |''915.7895''
| |
| |917.45152
| |
| |918.7385
| |
| 918.9677
| |
| |920.30075
| |
| |922.0111
| |
| |923.6842
| |
| |926.3158 | | |926.3158 |
| 926.4448 | | |926.4448 |
| |928
| |
| |929.0323
| |
| |929.9272
| |
| 930(.0729)
| |
| |930.8524
| |
| |932.7935
| |
| |934.7368
| |
| |935.94
| |
| 936(.2229)
| |
| |938.3459
| |
| |939.0968
| |
| | |
| 939.31965
| |
| |942.4778
| |
| | |
| 943.1579
| |
| |944.7729
| |
| |946.9239
| |
| ''947.3684''
| |
| |- | | |- |
| | rowspan="2" |25 | | | rowspan="2" |25 |
| |D^ | | |D^ |
| |''S^'' | | |''S^'' |
| | rowspan="2" |942.9825
| |
| | rowspan="2" |945.9173
| |
| | rowspan="2" |947.3684
| |
| 947.65625
| |
| | rowspan="2" |952.38095
| |
| | rowspan="2" |952.8131
| |
| | rowspan="2" |''953.9474''
| |
| | rowspan="2" |955.6787
| |
| | rowspan="2" |957.0193
| |
| 957.2581
| |
| | rowspan="2" |958.6466
| |
| | rowspan="2" |960.4282
| |
| | rowspan="2" |962.17105
| |
| | rowspan="2" |964.9123 | | | rowspan="2" |964.9123 |
| 965.04665
| | | rowspan="2" |965.04665 |
| | rowspan="2" |966.6667 | |
| | rowspan="2" |967.7419
| |
| | rowspan="2" |968.(6)7(41)5
| |
| 968.8259
| |
| | rowspan="2" |969.63795
| |
| | rowspan="2" |971.6599
| |
| | rowspan="2" |973.6842
| |
| | rowspan="2" |974.9375
| |
| 975(.2322)
| |
| | rowspan="2" |977.4436
| |
| | rowspan="2" |978.2258
| |
| | |
| 978.458
| |
| | rowspan="2" |981.7477
| |
| | |
| 982.4561
| |
| | rowspan="2" |984.1384
| |
| | rowspan="2" |986.379
| |
| ''986.8421''
| |
| |- | | |- |
| | colspan="2" |Ebv | | | colspan="2" |Ebv |
Line 994: |
Line 171: |
| |26 | | |26 |
| | colspan="2" |Eb | | | colspan="2" |Eb |
| |980.70175
| |
| |983.754
| |
| |985.2632
| |
| 985.5625
| |
| |990.4762
| |
| |990.9256
| |
| |''992.1053''
| |
| |993.90582
| |
| |995.3001
| |
| 995.5484
| |
| |996.9925
| |
| |998.8453
| |
| |1000.6579
| |
| |1003.5088 | | |1003.5088 |
| 1003.6485 | | |1003.6485 |
| |1005.3333
| |
| |1006.4516
| |
| |1007.4211
| |
| 1007.5(789)
| |
| |1008.4235
| |
| |1010.5263
| |
| |1012.6316
| |
| |1013.935
| |
| 1014(.2415)
| |
| |1016.54135
| |
| |1017.3548
| |
| | |
| 1017.5963
| |
| |1021.0176
| |
| | |
| 1021.7544
| |
| |1023.504
| |
| |1025.8342
| |
| ''1026.3158''
| |
| |- | | |- |
| | rowspan="2" |27 | | | rowspan="2" |27 |
| | colspan="2" |Eb^ | | | colspan="2" |Eb^ |
| | rowspan="2" |1018.42105
| |
| | rowspan="2" |1021.1591
| |
| | rowspan="2" |1023.1579
| |
| 1023.46875
| |
| | rowspan="2" |1028.5714
| |
| | rowspan="2" |1029.0381
| |
| | rowspan="2" |''1030.2632''
| |
| | rowspan="2" |1032.132
| |
| | rowspan="2" |1033.5808
| |
| 1033.8387
| |
| | rowspan="2" |1035.33835
| |
| | rowspan="2" |1037.2624
| |
| | rowspan="2" |1039.1447
| |
| | rowspan="2" |1042.1053 | | | rowspan="2" |1042.1053 |
| 1042.2504
| | | rowspan="2" |1042.2504 |
| | rowspan="2" |1044 | |
| | rowspan="2" |1045.1613
| |
| | rowspan="2" |1046.1681
| |
| 1046.25
| |
| | |
| 1046.332
| |
| | rowspan="2" |1047.0209
| |
| | rowspan="2" |1049.3927
| |
| | rowspan="2" |1051.57895
| |
| | rowspan="2" |1052.9325
| |
| 1053(.2508)
| |
| | rowspan="2" |1055.6391
| |
| | rowspan="2" |1056.4839
| |
| | |
| 1056.7346
| |
| | rowspan="2" |1060.2875
| |
| | |
| 1061.0526
| |
| | rowspan="2" |1062.8695
| |
| | rowspan="2" |1065.2893
| |
| ''1065.7895''
| |
| |- | | |- |
| |D#v | | |D#v |
Line 1,074: |
Line 185: |
| |D# | | |D# |
| |''S#'' | | |''S#'' |
| |1056.14035
| |
| |1059.4274
| |
| |1061.0526
| |
| 1061.375
| |
| |1066.6667
| |
| |1067.1506
| |
| |''1068.42105''
| |
| |1070.3601
| |
| |1071.8616
| |
| 1072.129
| |
| |1073.6842
| |
| |1075.6796
| |
| |1077.6315
| |
| |1080.70175 | | |1080.70175 |
| 1080.85225 | | |1080.85225 |
| |1083.6667
| |
| |1083.871
| |
| |1084.91505
| |
| 1085(.085)
| |
| |1085.9945
| |
| |1088.2591
| |
| |1090.5263
| |
| |1091.93
| |
| 1092(.26)
| |
| |1094.7368
| |
| |1095.6129
| |
| | |
| 1095.8729
| |
| |1099.5574
| |
| | |
| 1100.3509
| |
| |1102.235
| |
| |1104.7445
| |
| ''1105.2632''
| |
| |- | | |- |
| | rowspan="2" |29 | | | rowspan="2" |29 |
| |D#^ | | |D#^ |
| |''S#^'' | | |''S#^'' |
| | rowspan="2" |1093.85965
| |
| | rowspan="2" |1097.7264
| |
| | rowspan="2" |1098.9474
| |
| 1099.28125
| |
| | rowspan="2" |1104.7619
| |
| | rowspan="2" |1105.2632
| |
| | rowspan="2" |''1106.57895''
| |
| | rowspan="2" |1108.58726
| |
| | rowspan="2" |1110.1424
| |
| 1110.4194
| |
| | rowspan="2" |1112.0301
| |
| | rowspan="2" |1114.0967
| |
| | rowspan="2" |1116.1184
| |
| | rowspan="2" |1119.29825 | | | rowspan="2" |1119.29825 |
| 1119.4541
| | | rowspan="2" |1119.4541 |
| | rowspan="2" |1122.3333 | |
| | rowspan="2" |1122.5806
| |
| | rowspan="2" |1123.662
| |
| 1123.75
| |
| | |
| 1123.83805
| |
| | rowspan="2" |1124.78
| |
| | rowspan="2" |1127.1255
| |
| | rowspan="2" |1129.4737
| |
| | rowspan="2" |1130.9275
| |
| 1131(.26935)
| |
| | rowspan="2" |1133.8346
| |
| | rowspan="2" |1134.7419
| |
| | |
| 1135.0112
| |
| | rowspan="2" |1138.8273
| |
| | |
| 1139.6491
| |
| | rowspan="2" |1141.6006
| |
| | rowspan="2" |1144.1997
| |
| ''1144.7368''
| |
| |- | | |- |
| | colspan="2" |Ev | | | colspan="2" |Ev |
Line 1,153: |
Line 198: |
| |30 | | |30 |
| | colspan="2" |E | | | colspan="2" |E |
| |1131.57895
| |
| |1135.1008
| |
| |1136.8421
| |
| 1137.1875
| |
| |1142.8571
| |
| |1143.3757
| |
| |''1144.7368''
| |
| |1146.8144
| |
| |1148.4231
| |
| 1148.7097
| |
| |1150.3759
| |
| |1152.5138
| |
| |1154.0526
| |
| |1157.8947 | | |1157.8947 |
| 1158.0559 | | |1158.0559 |
| |1160
| |
| |1161.2903
| |
| |1162.409
| |
| 1162.5(911)
| |
| |1163.5655
| |
| |1165.9919
| |
| |1168.42105
| |
| |1169.925
| |
| 1170(.2786)
| |
| |1172.9323
| |
| |1173.871
| |
| | |
| 1174.1496
| |
| |1178.0972
| |
| | |
| 1178.9474
| |
| |1180.9661
| |
| |1183.6548
| |
| ''1184.2105''
| |
| |- | | |- |
| |31 | | |31 |
| | colspan="2" |E^/Fbv | | | colspan="2" |E^/Fbv |
| |1169.29825
| |
| |1172.9375
| |
| |1174.7368
| |
| 1175.09625
| |
| |1180.9524
| |
| |1181.4882
| |
| |''1182.8947''
| |
| |1185.04155
| |
| |1186.7039
| |
| 1187
| |
| |1188.7218
| |
| |1190.93095
| |
| |1193.0921
| |
| |1196.4912 | | |1196.4912 |
| 1196.6578 | | |1196.6578 |
| |1198.6667
| |
| |1200
| |
| |1201.15595
| |
| 1201.25
| |
| | |
| 1201.3441
| |
| |1202.3511
| |
| |1204.8583
| |
| |1207.3684
| |
| |1208.9225
| |
| 1209(.2879)
| |
| |1212.03
| |
| |1213(.2879)
| |
| |1217.36715
| |
| | |
| 1218.2456
| |
| |1220.33165
| |
| |1223.11
| |
| ''1223.6842''
| |
| |- | | |- |
| |32 | | |32 |
| | colspan="2" |Fb | | | colspan="2" |Fb |
| |1207.0715
| |
| |1210.7742
| |
| |1212.6316
| |
| 1213
| |
| |1219.0476
| |
| |1219.6007
| |
| |''1221.0526''
| |
| |1223.2687
| |
| |1224.9847
| |
| 1225.2903
| |
| |1227.0677
| |
| |1229.3481
| |
| |1231.57895
| |
| |1235.0877 | | |1235.0877 |
| 1235.2567 | | |1235.2567 |
| |1237.3333
| |
| |1238.7097
| |
| |1239.9029
| |
| 1240(.0972)
| |
| |1241.1366
| |
| |1243.7247
| |
| |1246.3158
| |
| |1247.92
| |
| 1248(.2972)
| |
| |1251.1278
| |
| |1252.129
| |
| 1252.4262
| |
| |1256.6371
| |
| | |
| 1257.5439
| |
| |1259.6972
| |
| |1262.56515
| |
| ''1263.1579''
| |
| |- | | |- |
| |33 | | |33 |
| | colspan="2" |Fb^/E#v | | | colspan="2" |Fb^/E#v |
| |1244.7368
| |
| |1248.6109
| |
| |1250.5263
| |
| 1250.90625
| |
| |1257.1429
| |
| |1257.71235
| |
| |''1259.2105''
| |
| |1261.4958
| |
| |1263.2655
| |
| 1263.58065
| |
| |1265.4135
| |
| |1267.7652
| |
| |1270.0658
| |
| |1273.68425 | | |1273.68425 |
| 1273.8616 | | |1273.8616 |
| |1276
| |
| |1277.4194
| |
| |1278.6499
| |
| 1278.75
| |
| | |
| 1278.8502
| |
| |1279.9221
| |
| |1282.5911
| |
| |1284.2632
| |
| |1286.9175
| |
| 1287(.3065)
| |
| |1290.2256
| |
| |1291.2581
| |
| 1291.5645
| |
| |1295.907
| |
| | |
| 1296.8421
| |
| |1299.0627
| |
| |1302.0203
| |
| ''1302.6316''
| |
| |- | | |- |
| |34 | | |34 |
| | colspan="2" |E# | | | colspan="2" |E# |
| |1282.4561
| |
| |1286.4476
| |
| |1288.42105
| |
| 1288.8125
| |
| |1295.2381
| |
| |1295.8258
| |
| |''1297.3684''
| |
| |1299.723
| |
| |1301.5462
| |
| 1301.871
| |
| |1303.7594
| |
| |1306.1823
| |
| |1308.5526
| |
| |1312.2807 | | |1312.2807 |
| 1312.4634 | | |1312.4634 |
| |1314.6667
| |
| |1316.129
| |
| |1317.3968
| |
| 1317.5
| |
| | |
| 1317.6032
| |
| |1318.7076
| |
| |1321.4575
| |
| |1323.2105
| |
| |1325.915
| |
| 1326(.3158)
| |
| |1329.3233
| |
| |1330.3871
| |
| 1330.7028
| |
| |1335.1769
| |
| | |
| 1336.1404
| |
| |1338.4283
| |
| |1341.4755
| |
| ''1342.1053''
| |
| |- | | |- |
| |35 | | |35 |
| | colspan="2" |E#^/Fv | | | colspan="2" |E#^/Fv |
| |1320.1754
| |
| |1324.2843
| |
| |1326.3158
| |
| 1326.71875
| |
| |1333.3333
| |
| |1333.9383
| |
| |''1335.5263''
| |
| |1337.9501
| |
| |1339.827
| |
| 1340.1613
| |
| |1342.1053
| |
| |1344.59945
| |
| |1347.0395
| |
| |1350.8772 | | |1350.8772 |
| 1531.0654
| | |1351.0654 |
| |1353.3333
| |
| |1354.8387
| |
| |1356.1438
| |
| 1356.25
| |
| | |
| 1356.3563
| |
| |1357.4931
| |
| |1360.3239
| |
| |1362.1579
| |
| |1364.9125
| |
| 1365(.3251)
| |
| |1368.42105
| |
| |1369.5161
| |
| 1369.8412
| |
| |1374.4468
| |
| | |
| 1375.4386
| |
| |1377.7938
| |
| |1380.9306
| |
| ''1381.57895''
| |
| |- | | |- |
| |36 | | |36 |
| | colspan="2" |F | | | colspan="2" |F |
| |1357.8947
| |
| |1362.121
| |
| |1364.2105
| |
| 1364.625
| |
| |1371.4286
| |
| |1372.0508
| |
| |''1373.6842''
| |
| |1376.1773
| |
| |1378.1078
| |
| 1378.4516
| |
| |1380.4511
| |
| |1383.0166
| |
| |1385.5263
| |
| |1389.4737 | | |1389.4737 |
| 1389.6672 | | |1389.6672 |
| |1392
| |
| |1393.5484
| |
| |1394.8908
| |
| 1395(.1093)
| |
| |1396.27865
| |
| |1399.1903
| |
| |1401.1053
| |
| |1403.91
| |
| 1404(.3343)
| |
| |1407.5188
| |
| |1408.6452
| |
| 1408.9795
| |
| |1413.7167
| |
| | |
| 1414.7368
| |
| |1417.1593
| |
| |1420.3858
| |
| ''1421.0526''
| |
| |- | | |- |
| |37 | | |37 |
| | colspan="2" |F^/Gv | | | colspan="2" |F^/Gv |
| |1395.614
| |
| |1399.9577
| |
| |1402.1053
| |
| 1402.53125
| |
| |1409.5238
| |
| |1410.1633
| |
| |''1411.8421''
| |
| |1414.4044
| |
| |1416.3885
| |
| 1416.7419
| |
| |1418.797
| |
| |1421.4337
| |
| |1424.0132
| |
| |1428.0702 | | |1428.0702 |
| 1428.269 | | |1428.269 |
| |1430.6667
| |
| |1432.2581
| |
| |1433.6377
| |
| 1433.75
| |
| | |
| 1433.8623
| |
| |1435.0642
| |
| |1438.0567
| |
| |1440.0526
| |
| |1442.9075
| |
| 1443(.34365)
| |
| |1446.6165
| |
| |1447.7742
| |
| 1448.1178
| |
| |1452.9866
| |
| | |
| 1454.0351
| |
| |1456.5249
| |
| |1459.841
| |
| ''1460.5263''
| |
| |- | | |- |
| |38 | | |38 |
| | colspan="2" |G | | | colspan="2" |G |
| |1433.3333 | | |1466.{{Overline|6}} |
| |1437.79435
| | |1466.8709 |
| |1440(.4375)
| |
| |1447.61905
| |
| |1448.2759
| |
| |''1450''
| |
| |1452.6316 | |
| |1454.6693
| |
| 1455.0323
| |
| |1457.1429
| |
| |1459.8508
| |
| |1462.5
| |
| |1466.6617 | |
| 1466.8709 | |
| |1469.3333
| |
| |1470.6977
| |
| |1472.3847
| |
| 1472.(61)5(4)
| |
| |1473.8497
| |
| |1476.9231
| |
| |1480
| |
| |1481.905
| |
| 1482(.3529)
| |
| |1485.7143
| |
| |1486.9032
| |
| 1487.2561
| |
| |1492.2565
| |
| 1493.3333
| |
| |1495.8904
| |
| |1499.2961
| |
| ''1500''
| |
| |} | | |} |
| | |
| | == Harmonics == |
| | {{Harmonics in equal |
| | | steps = 38 |
| | | num = 7 |
| | | denom = 3 |
| | | intervals = prime |
| | }} |
| | {{Harmonics in equal |
| | | steps = 38 |
| | | num = 7 |
| | | denom = 3 |
| | | start = 12 |
| | | collapsed = 1 |
| | | intervals = prime |
| | }} |