10edf: Difference between revisions

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Line 7: Line 7:
|-
|-
! rowspan="2" |degree
! rowspan="2" |degree
! rowspan="2" |''ed233\420-3.5¢''
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed31\54
! rowspan="2" |11/9-et (~ed11\19)
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed3/2
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! colspan="2" |Pyrite
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+3.5¢''
! rowspan="2" |''ed37\60+5¢''
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 22: Line 22:
|-
|-
|1
|1
|''66.2214-66.5714''
|''66.0714-66.5714''
|68.8889
|68.8889
|69.4816
|69.4816
Line 30: Line 30:
|70.9065
|70.9065
|71.57895
|71.57895
|''74-74.35''
|''74-74.5''
|-
|-
|2
|2
|''132.4429-133.1429''
|''132.1429-133.1429''
|137.7778
|137.7778
|138.9632
|138.9632
Line 41: Line 41:
|141.813
|141.813
|143.1579
|143.1579
|''148-148.7''
|''148-149''
|-
|-
|3
|3
|''198.6643-199.7143''
|''198.2143-199.7143''
|206.6667
|206.6667
|208.4448
|208.4448
Line 52: Line 52:
|212.7194
|212.7194
|214.7368
|214.7368
|''222-223.05''
|''222-223.5''
|-
|-
|4
|4
|''264.8857-266.2857''
|''264.2857-266.2857''
|275.5556
|275.5556
|277.92635
|277.92635
Line 63: Line 63:
|283.6259
|283.6259
|286.3158
|286.3158
|''296-297.4''
|''296-298''
|-
|-
|5
|5
|''331.1071-332.8571''
|''330.3571-332.8571''
|344.4444
|344.4444
|347.4079
|347.4079
Line 74: Line 74:
|354.5324
|354.5324
|357.8947
|357.8947
|''370-371.75''
|''370-372.5''
|-
|-
|6
|6
|''397.3286-399.4286''
|''396.4286-399.4286''
|413.3333
|413.3333
|416.8895
|416.8895
Line 85: Line 85:
|425.4389
|425.4389
|429.4737
|429.4737
|''444-446.1''
|''444-447''
|-
|-
|7
|7
|''463.55-466''
|''462.5-466''
|482.2222
|482.2222
|486.3711
|486.3711
Line 96: Line 96:
|496.3454
|496.3454
|501.0526
|501.0526
|''518-520.45''
|''518-521.5''
|-
|-
|8
|8
|''529.7714-532.5714''
|''528.5714-532.5714''
|551.1111
|551.1111
|555.8527
|555.8527
Line 107: Line 107:
|567.2518
|567.2518
|572.6316
|572.6316
|''592-594.8''
|''592-596''
|-
|-
|9
|9
|''595.9929-599.1429''
|''594.6429-599.1429''
|620
|620
|625.3343
|625.3343
Line 118: Line 118:
|638.1583
|638.1583
|644.2105
|644.2105
|''666-669.15''
|''666-670.5''
|-
|-
|10
|10
|''662.2143-665.7143''
|''660.7143-665.714''3
|688.8889
|688.8889
|694.8159
|694.8159
Line 129: Line 129:
|709.0648
|709.0648
|715.7895
|715.7895
|''740-743.5''
|''740-745''
|-
|-
|11
|11
|''728.4357-732.2857''
|''726.7857-732.2857''
|757.7778
|757.7778
|764.2974
|764.2974
Line 140: Line 140:
|779.9713
|779.9713
|787.3684
|787.3684
|''814-817.85''
|''814-819.5''
|-
|-
|12
|12
|''794.6571-798.8571''
|''792.8571-798.8571''
|826.6667
|826.6667
|833.7791
|833.7791
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|850.8778
|850.8778
|858.9474
|858.9474
|''888-892.2''
|''888-894''
|-
|-
|13
|13
|''860.8786-865.4286''
|''858.9286-865.4286''
|895.5556
|895.5556
|903.26065
|903.26065
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|921.7842
|921.7842
|930.5263
|930.5263
|''962-966.55''
|''962-968.5''
|-
|-
|14
|14
|''927.1-932''
|''925-932''
|964.4444
|964.4444
|972.7422
|972.7422
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|992.6907
|992.6907
|1002.1053
|1002.1053
|''1036-1040.9''
|''1036-1043''
|-
|-
|15
|15
|''993.3214-998.5714''
|''991.0714-998.5714''
|1033.3333
|1033.3333
|1042.2238
|1042.2238
Line 184: Line 184:
|1063.5972
|1063.5972
|1073.6842
|1073.6842
|''1110-1115.25''
|''1110-1117.5''
|-
|-
|16
|16
|''1059.5429-1065.1429''
|''1057.1429-1065.1429''
|1102.2222
|1102.2222
|1111.7054
|1111.7054
Line 195: Line 195:
|1134.5037
|1134.5037
|1145.2632
|1145.2632
|''1184-1189.6''
|''1184-1192''
|-
|-
|17
|17
|''1125.7643-1131.7143''
|''1123.2143-1131.7143''
|1171.1111
|1171.1111
|1181.187
|1181.187
Line 206: Line 206:
|1205.4102
|1205.4102
|1216.8451
|1216.8451
|''1258-1263.95''
|''1258-1268.5''
|-
|-
|18
|18
|''1191.9857-1198.2857''
|''1189.2857-1198.2857''
|1240
|1240
|1250.6686
|1250.6686
Line 217: Line 217:
|1276.3166
|1276.3166
|1288.42105
|1288.42105
|''1332-1338.3''
|''1332-1341''
|-
|-
|19
|19
|''1258.2071-1263.8571''
|''1255.3571-1263.8571''
|1308.8889
|1308.8889
|1320.1502
|1320.1502
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|1347.2231
|1347.2231
|1360
|1360
|''1406-1412.65''
|''1406-1415.5''
|-
|-
|20
|20
|''1324.4286-1331.4286''
|''1321.4286-1331.4286''
|1377.7778
|1377.7778
|1389.6318
|1389.6318
Line 239: Line 239:
|1418.1296
|1418.1296
|1431.57895
|1431.57895
|''1480-1487''
|''1480-1490''
|}
|}
== Music ==
== Music ==

Revision as of 19:59, 12 August 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\420-5¢ ed31\54 ed121/81 (~ed11\19) ed3/2 Pyrite ed122/81 (~ed13\22) ed34\57 ed37\60+5¢
(~ed17\29) (~ed10\17)
0
1 66.0714-66.5714 68.8889 69.4816 70.1955 70.3636 70.58555 70.9065 71.57895 74-74.5
2 132.1429-133.1429 137.7778 138.9632 140.391 140.7272 141.1711 141.813 143.1579 148-149
3 198.2143-199.7143 206.6667 208.4448 210.5865 211.0908 211.7566 212.7194 214.7368 222-223.5
4 264.2857-266.2857 275.5556 277.92635 280.782 281.4544 282.3422 283.6259 286.3158 296-298
5 330.3571-332.8571 344.4444 347.4079 350.9775 351.818 352.9277 354.5324 357.8947 370-372.5
6 396.4286-399.4286 413.3333 416.8895 421.173 422.1816 423.5133 425.4389 429.4737 444-447
7 462.5-466 482.2222 486.3711 491.3685 492.5452 494.0988 496.3454 501.0526 518-521.5
8 528.5714-532.5714 551.1111 555.8527 561.564 562.9088 564.6843 567.2518 572.6316 592-596
9 594.6429-599.1429 620 625.3343 631.7595 633.2724 635.2699 638.1583 644.2105 666-670.5
10 660.7143-665.7143 688.8889 694.8159 701.955 703.636 705.8555 709.0648 715.7895 740-745
11 726.7857-732.2857 757.7778 764.2974 772.1505 773.9996 776.441 779.9713 787.3684 814-819.5
12 792.8571-798.8571 826.6667 833.7791 842.346 844.3632 847.0265 850.8778 858.9474 888-894
13 858.9286-865.4286 895.5556 903.26065 912.5415 914.7268 917.6121 921.7842 930.5263 962-968.5
14 925-932 964.4444 972.7422 982.737 985.0904 988.1976 992.6907 1002.1053 1036-1043
15 991.0714-998.5714 1033.3333 1042.2238 1052.9325 1055.45405 1058.7832 1063.5972 1073.6842 1110-1117.5
16 1057.1429-1065.1429 1102.2222 1111.7054 1123.128 1125.81765 1129.3688 1134.5037 1145.2632 1184-1192
17 1123.2143-1131.7143 1171.1111 1181.187 1193.3235 1196.18125 1199.9543 1205.4102 1216.8451 1258-1268.5
18 1189.2857-1198.2857 1240 1250.6686 1263.519 1266.5449 1270.5398 1276.3166 1288.42105 1332-1341
19 1255.3571-1263.8571 1308.8889 1320.1502 1333.7145 1336.9085 1341.1254 1347.2231 1360 1406-1415.5
20 1321.4286-1331.4286 1377.7778 1389.6318 1403.91 1407.272 1411.7109 1418.1296 1431.57895 1480-1490

Music

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