10edf: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
!degree
! rowspan="2" |degree
!cents value
! rowspan="2" |''ed233\420-3.5¢''
! rowspan="2" |ed31\54
! rowspan="2" |11/9-et (~ed11\19)
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+3.5¢''
|-
|-
|0
!(~ed17\29)
|0
!(~ed10\17)
|-
| colspan="10" |0
|-
|-
|1
|1
|''66.2214-66.5714''
|68.8889
|69.4816
|70.1955
|70.1955
|70.3636
|70.58555
|70.9065
|71.57895
|''74-74.35''
|-
|-
|2
|2
|''132.4429-133.1429''
|137.7778
|138.9632
|140.391
|140.391
|140.7272
|141.1711
|141.813
|143.1579
|''148-148.7''
|-
|-
|3
|3
|''198.6643-199.7143''
|206.6667
|208.4448
|210.5865
|210.5865
|211.0908
|211.7566
|212.7194
|214.7368
|''222-223.05''
|-
|-
|4
|4
|''264.8857-266.2857''
|275.5556
|277.92635
|280.782
|280.782
|281.4544
|282.3422
|283.6259
|286.3158
|''296-297.4''
|-
|-
|5
|5
|''331.1071-332.8571''
|344.4444
|347.4079
|350.9775
|350.9775
|351.818
|352.9277
|354.5324
|357.8947
|''370-371.75''
|-
|-
|6
|6
|''397.3286-399.4286''
|413.3333
|416.8895
|421.173
|421.173
|422.1816
|423.5133
|425.4389
|429.4737
|''444-446.1''
|-
|-
|7
|7
|''463.55-466''
|482.2222
|486.3711
|491.3685
|491.3685
|492.5452
|494.0988
|496.3454
|501.0526
|''518-520.45''
|-
|-
|8
|8
|''529.7714-532.5714''
|551.1111
|555.8527
|561.564
|561.564
|562.9088
|564.6843
|567.2518
|572.6316
|''592-594.8''
|-
|-
|9
|9
|''595.9929-599.1429''
|620
|625.3343
|631.7595
|631.7595
|633.2724
|635.2699
|638.1583
|644.2105
|''666-669.15''
|-
|-
|10
|10
|''662.2143-665.7143''
|688.8889
|694.8159
|701.955
|701.955
|703.636
|705.8555
|709.0648
|715.7895
|''740-743.5''
|-
|-
|11
|11
|''728.4357-732.2857''
|757.7778
|764.2974
|772.1505
|772.1505
|773.9996
|776.441
|779.9713
|787.3684
|''814-817.85''
|-
|-
|12
|12
|''794.6571-798.8571''
|826.6667
|833.7791
|842.346
|842.346
|844.3632
|847.0265
|850.8778
|858.9474
|''888-892.2''
|-
|-
|13
|13
|''860.8786-865.4286''
|895.5556
|903.26065
|912.5415
|912.5415
|914.7268
|917.6121
|921.7842
|930.5263
|''962-966.55''
|-
|-
|14
|14
|''927.1-932''
|964.4444
|972.7422
|982.737
|982.737
|985.0904
|988.1976
|992.6907
|1002.1053
|''1036-1040.9''
|-
|-
|15
|15
|''993.3214-998.5714''
|1033.3333
|1042.2238
|1052.9325
|1052.9325
|1055.45405
|1058.7832
|1063.5972
|1073.6842
|''1110-1115.25''
|-
|-
|16
|16
|''1059.5429-1065.1429''
|1102.2222
|1111.7054
|1123.128
|1123.128
|1125.81765
|1129.3688
|1134.5037
|1145.2632
|''1184-1189.6''
|-
|-
|17
|17
|''1125.7643-1131.7146''
|1171.1111
|1181.187
|1193.3235
|1193.3235
|1196.18125
|1199.9954
|1205.4102
|1216.8451
|''1258-1263.95''
|-
|-
|18
|18
|''1191.9857-1198.2857''
|1240
|1250.6686
|1263.519
|1263.519
|1266.5449
|1270.5398
|1276.3166
|1288.42105
|''1332-1338.3''
|-
|-
|19
|19
|''1258.2071-1263.8571''
|1308.8889
|1320.1502
|1333.7145
|1333.7145
|1336.9085
|1341.1254
|1347.2231
|1360
|''1406-1412.65''
|-
|-
|20
|20
|''1324.4286-1331.4286''
|1377.7778
|1389.6318
|1403.91
|1403.91
|1407.272
|1411.7109
|1418.1296
|1431.57895
|''1480-1487''
|}
|}
== Music ==
== Music ==

Revision as of 02:39, 24 June 2019

Division of the just perfect fifth into 10 equal parts (10EDF) is related to 17 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 6.6765 cents compressed and the step size is about 70.1955 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 17edo is only consistent up to the 4-integer-limit.

Lookalikes: 17edo, 27edt

Intervals

degree ed233\420-3.5¢ ed31\54 11/9-et (~ed11\19) ed3/2 Pyrite ed122/81 (~ed13\22) ed34\57 ed37\60+3.5¢
(~ed17\29) (~ed10\17)
0
1 66.2214-66.5714 68.8889 69.4816 70.1955 70.3636 70.58555 70.9065 71.57895 74-74.35
2 132.4429-133.1429 137.7778 138.9632 140.391 140.7272 141.1711 141.813 143.1579 148-148.7
3 198.6643-199.7143 206.6667 208.4448 210.5865 211.0908 211.7566 212.7194 214.7368 222-223.05
4 264.8857-266.2857 275.5556 277.92635 280.782 281.4544 282.3422 283.6259 286.3158 296-297.4
5 331.1071-332.8571 344.4444 347.4079 350.9775 351.818 352.9277 354.5324 357.8947 370-371.75
6 397.3286-399.4286 413.3333 416.8895 421.173 422.1816 423.5133 425.4389 429.4737 444-446.1
7 463.55-466 482.2222 486.3711 491.3685 492.5452 494.0988 496.3454 501.0526 518-520.45
8 529.7714-532.5714 551.1111 555.8527 561.564 562.9088 564.6843 567.2518 572.6316 592-594.8
9 595.9929-599.1429 620 625.3343 631.7595 633.2724 635.2699 638.1583 644.2105 666-669.15
10 662.2143-665.7143 688.8889 694.8159 701.955 703.636 705.8555 709.0648 715.7895 740-743.5
11 728.4357-732.2857 757.7778 764.2974 772.1505 773.9996 776.441 779.9713 787.3684 814-817.85
12 794.6571-798.8571 826.6667 833.7791 842.346 844.3632 847.0265 850.8778 858.9474 888-892.2
13 860.8786-865.4286 895.5556 903.26065 912.5415 914.7268 917.6121 921.7842 930.5263 962-966.55
14 927.1-932 964.4444 972.7422 982.737 985.0904 988.1976 992.6907 1002.1053 1036-1040.9
15 993.3214-998.5714 1033.3333 1042.2238 1052.9325 1055.45405 1058.7832 1063.5972 1073.6842 1110-1115.25
16 1059.5429-1065.1429 1102.2222 1111.7054 1123.128 1125.81765 1129.3688 1134.5037 1145.2632 1184-1189.6
17 1125.7643-1131.7146 1171.1111 1181.187 1193.3235 1196.18125 1199.9954 1205.4102 1216.8451 1258-1263.95
18 1191.9857-1198.2857 1240 1250.6686 1263.519 1266.5449 1270.5398 1276.3166 1288.42105 1332-1338.3
19 1258.2071-1263.8571 1308.8889 1320.1502 1333.7145 1336.9085 1341.1254 1347.2231 1360 1406-1412.65
20 1324.4286-1331.4286 1377.7778 1389.6318 1403.91 1407.272 1411.7109 1418.1296 1431.57895 1480-1487

Music

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