34ed7/3: Difference between revisions

Created page with "== Intervals == {| class="wikitable" |+ !Degrees ! colspan="7" |Enneatonic !ed43\36 !Pyrite<sub>v</sub> !ed35\29 !''ed29\24=r¢<sub>v</sub>'' !ed17\14 !ed11\9~ed7/3 !Golden !e..."
 
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Line 1: Line 1:
{{Stub}}
{{Infobox ET}}
{{ED intro}}
== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
Line 4: Line 8:
!Degrees
!Degrees
! colspan="7" |Enneatonic
! colspan="7" |Enneatonic
!ed43\36
! colspan="2" |''Pentadecatonic''
!Pyrite<sub>v</sub>
!''Enneadecatonic''
!ed35\29
! colspan="2" |ed11\9~ed7/3
!''ed29\24=r¢<sub>v</sub>''
!ed17\14
!ed11\9~ed7/3
!Golden
!ed16\13
!ed21\17
!''ed5\4=r¢<sub>^</sub>''
|-
|-
| rowspan="2" |1
| rowspan="2" |1
Line 19: Line 16:
| colspan="2" rowspan="2" |G#
| colspan="2" rowspan="2" |G#
| colspan="4" |G^
| colspan="4" |G^
| rowspan="2" |42.1569
| rowspan="2" |''Qp/W\\''
| rowspan="2" |42.2881
| colspan="2" rowspan="2" |''Q#/Wb''
| rowspan="2" |42.59635
| rowspan="2" |''42.6471''
| rowspan="2" |42.8571
| rowspan="2" |43.13725
| rowspan="2" |43.13725
43.1433
| rowspan="2" |43.1433
| rowspan="2" |43.3485
| rowspan="2" |43.4389
| rowspan="2" |43.5986
| rowspan="2" |''44.11765''
|-
|-
|Jv
|Jv
Line 43: Line 33:
| rowspan="2" |Jb
| rowspan="2" |Jb
| rowspan="2" |''Ab''
| rowspan="2" |''Ab''
| rowspan="2" |84.3137
| colspan="3" rowspan="2" |''W''
| rowspan="2" |84.5761
| rowspan="2" |85.1927
| rowspan="2" |''85.2941''
| rowspan="2" |85.7143
| rowspan="2" |86.2745
| rowspan="2" |86.2745
86.2865
| rowspan="2" |86.2865
| rowspan="2" |86.697
| rowspan="2" |86.8778
| rowspan="2" |87.1972
| rowspan="2" |''88.2353''
|-
|-
|Jbb
|Jbb
Line 66: Line 48:
|Jb^
|Jb^
|''Ab^''
|''Ab^''
| rowspan="2" |126.4706
| rowspan="2" |''Wp''
| rowspan="2" |126.8642
| rowspan="2" |''W#''
| rowspan="2" |127.78905
| rowspan="2" |''W#/Eb''
| rowspan="2" |''127.9412''
| rowspan="2" |128.5714
| rowspan="2" |129.4118
| rowspan="2" |129.4118
 
| rowspan="2" |129.4298
129.4298
| rowspan="2" |130.0456
| rowspan="2" |130.3167
| rowspan="2" |130.79585
| rowspan="2" |''132.3529''
|-
|-
| colspan="2" |G#v
| colspan="2" |G#v
Line 88: Line 63:
|''B\\''
|''B\\''
| colspan="2" |G#
| colspan="2" |G#
|168.62745
| colspan="3" |''E(\\/b)''
|169.1523
|170.3854
|''170.5882''
|171.4296
|172.549
|172.549
172.57305
|172.57305
|173.3941
|173.7557
|174.3945
|''176.4706''
|-
|-
| rowspan="2" |5
| rowspan="2" |5
Line 107: Line 74:
| rowspan="2" |''B\\^/Apv''
| rowspan="2" |''B\\^/Apv''
| colspan="2" |G#v
| colspan="2" |G#v
| rowspan="2" |210.7483
| colspan="2" rowspan="2" |''E''
| rowspan="2" |211.44035
| rowspan="2" |''R''
| rowspan="2" |212.9817
| rowspan="2" |''213.2353''
| rowspan="2" |214.2857
| rowspan="2" |215.6863
| rowspan="2" |215.6863
215.7163
| rowspan="2" |215.7163
| rowspan="2" |316.7426
| rowspan="2" |217.1946
| rowspan="2" |327.9931
| rowspan="2" |''220.5882''
|-
|-
|Jv
|Jv
Line 130: Line 90:
|J
|J
|''A''
|''A''
|252.9412
|''Ep/R\\''
|253.7284
|''E#/Rb''
|255.5781
|''R#/Tb''
|''255.88235''
|257.1429
|258.8235
|258.8235
258.8596
|258.8596
|160.0911
|260.6335
|261.5917
|''264.7059''
|-
|-
|7
|7
Line 150: Line 104:
|J^/Av
|J^/Av
|''A^/Bv''
|''A^/Bv''
|295.098
| colspan="2" |''R''
|296.0165
|''T''
|298.1744
|''298.5294''
|300
|301.9608
|301.9608
302.0028
|302.0028
|303.4396
|304.0721
|305.1903
|''308.8235''
|-
|-
|8
|8
Line 170: Line 117:
|A
|A
|''B''
|''B''
|337.2549
|''Rp/T\\''
|338.30455
|''R#/Tb''
|340.7708
|''T#/Yb''
|''341.1765''
|342.8571
|345.098
|345.098
345.1461
|345.1461
|346.7882
|347.5113
|348.7889
|''352.9412''
|-
|-
|9
|9
Line 190: Line 131:
|A^/Bbv
|A^/Bbv
|''B^/Cbv''
|''B^/Cbv''
|379.4118
| colspan="2" |''T''
|380.5926
|''Y''
|383.3671
|''383.8235''
|385.7143
|388.2353
|388.2353
388.2894
|388.2894
|390.1367
|390.9502
|392.3875
|''397.0588''
|-
|-
|10
|10
Line 210: Line 144:
|Bb
|Bb
|''Cb''
|''Cb''
|421.5686
|''Tp\A\\''
|422.8807
|''T#/Ab''
|425.9635
|''Y#/Ub''
|''426.4706''
|428.5714
|431.37255
|431.37255
431.4326
|431.4326
|433.4852
|434.3891
|435.9862
|''441.1765''
|-
|-
|11
|11
Line 230: Line 158:
|Bb^/A#v
|Bb^/A#v
|''Cb^/B#v''
|''Cb^/B#v''
|463.7255
| colspan="2" |''A''
|465.1688
|''U''
|468.5598
|''469.11765''
|471.4286
|474.5098
|474.5098
474.5759
|474.5759
|476.8337
|477.82805
|479.5848
|''485.2941''
|-
|-
|12
|12
Line 250: Line 171:
|A#
|A#
|''B#''
|''B#''
|606.88235
|''Ap''
|507.4568
|''A#''
|511.1562
|''U#/Ab''
|''511.7647''
|51<span style="line-height: 1.5;">4.2857</span>
|517.6471
|517.6471
517.7191
|517.7191
|520.1822
|521.267
|523.1834
|''529.4118''
|-
|-
|13
|13
Line 270: Line 185:
|A#^/Bv
|A#^/Bv
|''B#^/Cv''
|''B#^/Cv''
|548.0392
|''S\\''
|549.7449
|''Sb''
|553.7525
|''A''
|''554.0588''
|557.1426
|560.7843
|560.7843
560.8624
|560.8624
|563.5308
|564.7059
|566.782
|''573.5294''
|-
|-
|14
|14
Line 290: Line 199:
|B
|B
|''C''
|''C''
|590.1961
| colspan="3" |''S''
|592.033
|596.3489
|''597.0588''
|600
|603.9216
|603.9216
604.0057
|604.0057
|606.8793
|608.1448
|610.3806
|''617.6471''
|-
|-
|15
|15
Line 310: Line 211:
|B^/Cv
|B^/Cv
|''C^/Qv''
|''C^/Qv''
|632.3529
|''Sp/D\\''
|634.321
|''S#/Db''
|638.9456
|''S#/Db''
|''639.7059''
|642.8571
|647.0588
|647.0588
647.1489
|647.1489
|651.2278
|651.5837
|653.9792
|''661.7647''
|-
|-
|16
|16
Line 330: Line 225:
|C
|C
|''Q''
|''Q''
|674.5098
| colspan="3" |''D''
|676.6091
|690.1961
|681.5416
|690.2922
|''682.3529''
|685.7143
|590.1961
690.2922
|693.5763
|695.0226
|697.57786
|''705.88235''
|-
|-
|17
|17
Line 350: Line 237:
|C^/Qbv
|C^/Qbv
|''Q^/Dbv''
|''Q^/Dbv''
|716.6667
|''Dp/F\\''
|718.8972
|''D#/Fb''
|724.1379
|''D#/Fb''
|''725''
|733.{{Overline|3}}
|728.5714
|733.43545
|733.3333
733.43545
|736.9248
|738.4615
|741.1765
|''750''
|-
|-
|18
|18
Line 370: Line 251:
|Qb
|Qb
|''Db''
|''Db''
|758.8235
| colspan="3" |''F''
|761.1852
|766.7343
|''767.6471''
|771.4286
|776.4706
|776.4706
776.5787
|776.5787
|780.2734
|781.9005
|784.7751
|''794.11765''
|-
|-
|19
|19
Line 390: Line 263:
|Qb^/C#v
|Qb^/C#v
|''Db^/Q#v''
|''Db^/Q#v''
|800.9804
|''Fp/G\\''
|806.4733
|''F#/Gb''
|809.3306
|''F#/Gb''
|''810.2941''
|814.2857
|819.6078
|819.6078
819.722
|819.722
|823.62519
|825.6694
|828.3737
|''838.2353''
|-
|-
|20
|20
Line 410: Line 277:
|C#
|C#
|''Q#''
|''Q#''
|843.13725
| colspan="3" |''G''
|845.7614
|851.927
|''852.9412''
|857.1429
|862.7451
|862.7451
862.8982
|862.8982
|866.9704
|868.7783
|871.9723
|''882.3529''
|-
|-
|21
|21
Line 430: Line 289:
|C#^/Qv
|C#^/Qv
|''Q#^/Dv''
|''Q#^/Dv''
|885.2941
|''Gp''
|888.04945
|''G#''
|894.5233
|''H''
|''895.5882''
|900
|905.88235
|905.88235
906.0085
|906.0085
|910.3189
|912.2172
|915.5709
|''926.4706''
|-
|-
|22
|22
Line 450: Line 303:
|Q
|Q
|''D''
|''D''
|927.451
|''Z\\''
|930.3375
|''Zb''
|937.1197
|''H#''
|''938.2353''
|942.8571
|949.0196
|949.0196
949.1518
|949.1518
|953.6674
|955.6561
|959.16955
|''970.5882''
|-
|-
|23
|23
Line 470: Line 317:
|Q^/Dv
|Q^/Dv
|''D^/Sv''
|''D^/Sv''
|969.6078
| colspan="2" |''Z''
|972.6526
|''Jb''
|979.716
|''980.88235''
|985.7143
|992.1569
|992.1569
922.295
|922.295
|997.016
|999.095
|1002.7682
|''1014.7059''
|-
|-
|24
|24
Line 490: Line 330:
|D
|D
|''S''
|''S''
|1011.7647
|''Zp/X\\''
|1014.9137
|''Z#/Xb''
|1022.3124
|''J''
|''1023.5294''
|1028.5714
|1035.2941
|1035.2941
1035.4383
|1035.4383
|1040.3645
|1042.5339
|1046.3668
|''1058.8235''
|-
|-
| rowspan="2" |25
| rowspan="2" |25
Line 510: Line 344:
|D^
|D^
|''S^''
|''S^''
| rowspan="2" |1053.9216
| colspan="2" rowspan="2" |''X''
| rowspan="2" |1057.2017
| rowspan="2" |''J#/Zb''
| rowspan="2" |1064.9087
| rowspan="2" |''1066.1765''
| rowspan="2" |1071.4286
| rowspan="2" |1078.4314
| rowspan="2" |1078.4314
1078.58155
| rowspan="2" |1078.58155
| rowspan="2" |1083.713
| rowspan="2" |1085.97285
| rowspan="2" |1089.9654
| rowspan="2" |''1102.9412''
|-
|-
| colspan="2" |Ebv
| colspan="2" |Ebv
Line 530: Line 357:
|''S''
|''S''
| colspan="2" |Eb
| colspan="2" |Eb
|1096.0784
|''Xp/C\\''
|1099.4898
|''X#/Cb''
|1107.5051
|''Z''
|''1108.8235''
|1114.2857
|1121.5686
|1121.5686
1121.7248
|1121.7248
|1127.0615
|1129.4118
|1133.564
|''1147.0588''
|-
|-
| rowspan="2" |27
| rowspan="2" |27
Line 548: Line 369:
|''S^''
|''S^''
| colspan="2" |Eb^
| colspan="2" |Eb^
| rowspan="2" |1138.2353
| colspan="2" rowspan="2" |''C''
| rowspan="2" |1141.7779
| rowspan="2" |''X''
| rowspan="2" |1150.1014
| rowspan="2" |''1153.4706''
| rowspan="2" |1157.1426
| rowspan="2" |1164.7059
| rowspan="2" |1164.7059
1164.8681
| rowspan="2" |1164.8681
| rowspan="2" |1170.41
| rowspan="2" |1172.8507
| rowspan="2" |1177.1626
| rowspan="2" |''1191.1765''
|-
|-
| colspan="2" |Fv
| colspan="2" |Fv
Line 570: Line 384:
|D#
|D#
|''S#''
|''S#''
|1180.3922
|''Cp/V\\''
|1154.0659
|''C#/Vb''
|1192.6978
|''X#/Cb''
|''1194.11765''
|1200
|1207.8731
|1207.8731
1208.0113
|1208.0113
|1213.7586
|1216.2896
|1220.76125
|''1235.2941''
|-
|-
| rowspan="2" |29
| rowspan="2" |29
Line 588: Line 396:
|D#v
|D#v
|''S#v''
|''S#v''
| rowspan="2" |1222.549
| colspan="2" rowspan="2" |''V''
| rowspan="2" |1226.354
| rowspan="2" |''C''
| rowspan="2" |1235.2941
| rowspan="2" |''1236.7647''
| rowspan="2" |1242.8571
| rowspan="2" |1250.9804
| rowspan="2" |1250.9804
1251.1546
| rowspan="2" |1251.1546
| rowspan="2" |1257.1071
| rowspan="2" |1259.7285
| rowspan="2" |1264.3599
| rowspan="2" |''1279.4118''
|-
|-
| colspan="2" |Eb
| colspan="2" |Eb
Line 607: Line 408:
| colspan="2" |G\\
| colspan="2" |G\\
| colspan="2" |E
| colspan="2" |E
|1264.7059
| colspan="3" |''V(p/#)''
|1265.6421
|1277.8905
|''1279.4118''
|1285.7143
|1294.11765
|1294.11765
1294.2979
|1294.2979
|1300.4556
|1303.1674
|1307.9585
|''1323.5294''
|-
|-
|31
|31
Line 624: Line 417:
| colspan="2" |G\\^Fpv
| colspan="2" |G\\^Fpv
| colspan="2" |E^/Fv
| colspan="2" |E^/Fv
|1306.86275
|''B//''
|1310.9301
|''Bb''
|1320.4868
|''V#/Bb''
|''1322.0588''
|1328.5714
|1337.2549
|1337.2549
1337.4411
|1337.4411
|1343.8041
|1346.6606
|1307.9585
|''1367.5471''
|-
|-
|32
|32
Line 641: Line 428:
| colspan="2" |Fp
| colspan="2" |Fp
| colspan="2" |F
| colspan="2" |F
|1349.0196
| colspan="3" |''B''
|1353.2182
|1393.0832
|''1364.7059''
|1371.4286
|1380.3922
|1380.3922
1380.5844
|1380.5844
|1387.1526
|1390.04525
|1351.5571
|''1411.7647''
|-
|-
| rowspan="2" |33
| rowspan="2" |33
Line 658: Line 437:
| colspan="2" |Fp^
| colspan="2" |Fp^
| colspan="2" |F^
| colspan="2" |F^
| rowspan="2" |1391.1765
| rowspan="2" |''Bp/Q\\''
| rowspan="2" |1395.5063
| colspan="2" rowspan="2" |''B#/Qb''
| rowspan="2" |1405.6795
| rowspan="2" |''1407.3529''
| rowspan="2" |1414.2857
| rowspan="2" |1423.5297
| rowspan="2" |1423.5297
1423.7276
| rowspan="2" |1423.7276
| rowspan="2" |1430.5012
| rowspan="2" |1433.4842
| rowspan="2" |1395.1557
| rowspan="2" |''1455.88235''
|-
|-
| colspan="4" |Gv
| colspan="4" |Gv
Line 675: Line 447:
|1
|1
| colspan="6" |G
| colspan="6" |G
|1433.3333
| colspan="3" |''Q''
|1437.79435
|1466.{{Overline|6}}
|1448.2759
|1466.8709
|''1450''
|1457.1429
|1466.6617
1466.8709
|1473.8497
|1476.9231
|1482.3529
|''1500''
|}
|}
== Harmonics ==
{{Harmonics in equal
| steps = 34
| num = 7
| denom = 3
}}
{{Harmonics in equal
| steps = 34
| num = 7
| denom = 3
| start = 12
| collapsed = 1
}}