10edf: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 24: | Line 24: | ||
|- | |- | ||
! colspan="12" |0 | ! colspan="12" |0 | ||
| | |C | ||
|- | |- | ||
|1 | |1 | ||
| Line 38: | Line 38: | ||
|71.57895 | |71.57895 | ||
|''74-74.5'' | |''74-74.5'' | ||
| | |C# | ||
|- | |- | ||
|2 | |2 | ||
| Line 52: | Line 52: | ||
|143.1579 | |143.1579 | ||
|''148-149'' | |''148-149'' | ||
| | |Db | ||
|- | |- | ||
|3 | |3 | ||
| Line 66: | Line 66: | ||
|214.7368 | |214.7368 | ||
|''222-223.5'' | |''222-223.5'' | ||
| | |D | ||
|- | |- | ||
|4 | |4 | ||
| Line 80: | Line 80: | ||
|286.3158 | |286.3158 | ||
|''296-298'' | |''296-298'' | ||
| | |D#, Eb | ||
|- | |- | ||
|5 | |5 | ||
| Line 94: | Line 94: | ||
|357.8947 | |357.8947 | ||
|''370-372.5'' | |''370-372.5'' | ||
| | |E | ||
|- | |- | ||
|6 | |6 | ||
| Line 108: | Line 108: | ||
|429.4737 | |429.4737 | ||
|''444-447'' | |''444-447'' | ||
| | |E# | ||
|- | |- | ||
|7 | |7 | ||
| Line 122: | Line 122: | ||
|501.0526 | |501.0526 | ||
|''518-521.5'' | |''518-521.5'' | ||
| | |Fb | ||
|- | |- | ||
|8 | |8 | ||
| Line 136: | Line 136: | ||
|572.6316 | |572.6316 | ||
|''592-596'' | |''592-596'' | ||
| | |F | ||
|- | |- | ||
|9 | |9 | ||
| Line 150: | Line 150: | ||
|644.2105 | |644.2105 | ||
|''666-670.5'' | |''666-670.5'' | ||
| | |F#, Cb | ||
|- | |- | ||
|10 | |10 | ||
| Line 164: | Line 164: | ||
|715.7895 | |715.7895 | ||
|''740-745'' | |''740-745'' | ||
| | |C | ||
|- | |- | ||
|11 | |11 | ||
| Line 178: | Line 178: | ||
|787.3684 | |787.3684 | ||
|''814-819.5'' | |''814-819.5'' | ||
| | |C# | ||
|- | |- | ||
|12 | |12 | ||
| Line 192: | Line 192: | ||
|858.9474 | |858.9474 | ||
|''888-894'' | |''888-894'' | ||
| | |Db | ||
|- | |- | ||
|13 | |13 | ||
| Line 206: | Line 206: | ||
|930.5263 | |930.5263 | ||
|''962-968.5'' | |''962-968.5'' | ||
| | |D | ||
|- | |- | ||
|14 | |14 | ||
Revision as of 09:43, 17 February 2023
| ← 9edf | 10edf | 11edf → |
(semiconvergent)
(semiconvergent)
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.
Intervals
| degree | ed233\420-5¢ | ed31\54 | ed121/81 (~ed11\19) | ed32\55 | ed700¢=r¢ | ed3/2 | Pyrite | ed122/81 (~ed13\22) | ed34\57 | ed37\60+5¢ | 2L 2s notation (soft) | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (~ed17\29) | (~ed10\17) | |||||||||||
| 0 | C | |||||||||||
| 1 | 66.0714-66.5714 | 68.8889 | 69.4816 | 69.82 | 70 | 70.1955 | 70.3636 | 70.58555 | 70.9065 | 71.57895 | 74-74.5 | C# |
| 2 | 132.1429-133.1429 | 137.7778 | 138.9632 | 139.64 | 140 | 140.391 | 140.7272 | 141.1711 | 141.813 | 143.1579 | 148-149 | Db |
| 3 | 198.2143-199.7143 | 206.6667 | 208.4448 | 209.455 | 210 | 210.5865 | 211.0908 | 211.7566 | 212.7194 | 214.7368 | 222-223.5 | D |
| 4 | 264.2857-266.2857 | 275.5556 | 277.92635 | 279.27 | 280 | 280.782 | 281.4544 | 282.3422 | 283.6259 | 286.3158 | 296-298 | D#, Eb |
| 5 | 330.3571-332.8571 | 344.4444 | 347.4079 | 349.09 | 350 | 350.9775 | 351.818 | 352.9277 | 354.5324 | 357.8947 | 370-372.5 | E |
| 6 | 396.4286-399.4286 | 413.3333 | 416.8895 | 418.91 | 420 | 421.173 | 422.1816 | 423.5133 | 425.4389 | 429.4737 | 444-447 | E# |
| 7 | 462.5-466 | 482.2222 | 486.3711 | 488.73 | 490 | 491.3685 | 492.5452 | 494.0988 | 496.3454 | 501.0526 | 518-521.5 | Fb |
| 8 | 528.5714-532.5714 | 551.1111 | 555.8527 | 558.545 | 560 | 561.564 | 562.9088 | 564.6843 | 567.2518 | 572.6316 | 592-596 | F |
| 9 | 594.6429-599.1429 | 620 | 625.3343 | 628.36 | 630 | 631.7595 | 633.2724 | 635.2699 | 638.1583 | 644.2105 | 666-670.5 | F#, Cb |
| 10 | 660.7143-665.7143 | 688.8889 | 694.8159 | 698.18 | 700 | 701.955 | 703.636 | 705.8555 | 709.0648 | 715.7895 | 740-745 | C |
| 11 | 726.7857-732.2857 | 757.7778 | 764.2974 | 768 | 770 | 772.1505 | 773.9996 | 776.441 | 779.9713 | 787.3684 | 814-819.5 | C# |
| 12 | 792.8571-798.8571 | 826.6667 | 833.7791 | 837.82 | 840 | 842.346 | 844.3632 | 847.0265 | 850.8778 | 858.9474 | 888-894 | Db |
| 13 | 858.9286-865.4286 | 895.5556 | 903.26065 | 907.64 | 910 | 912.5415 | 914.7268 | 917.6121 | 921.7842 | 930.5263 | 962-968.5 | D |
| 14 | 925-932 | 964.4444 | 972.7422 | 977.455 | 980 | 982.737 | 985.0904 | 988.1976 | 992.6907 | 1002.1053 | 1036-1043 | |
| 15 | 991.0714-998.5714 | 1033.3333 | 1042.2238 | 1047.27 | 1050 | 1052.9325 | 1055.45405 | 1058.7832 | 1063.5972 | 1073.6842 | 1110-1117.5 | |
| 16 | 1057.1429-1065.1429 | 1102.2222 | 1111.7054 | 1117.09 | 1120 | 1123.128 | 1125.81765 | 1129.3688 | 1134.5037 | 1145.2632 | 1184-1192 | |
| 17 | 1123.2143-1131.7143 | 1171.1111 | 1181.187 | 1186.91 | 1190 | 1193.3235 | 1196.18125 | 1199.9543 | 1205.4102 | 1216.8451 | 1258-1268.5 | |
| 18 | 1189.2857-1198.2857 | 1240 | 1250.6686 | 1256.73 | 1260 | 1263.519 | 1266.5449 | 1270.5398 | 1276.3166 | 1288.42105 | 1332-1341 | |
| 19 | 1255.3571-1263.8571 | 1308.8889 | 1320.1502 | 1326.545 | 1330 | 1333.7145 | 1336.9085 | 1341.1254 | 1347.2231 | 1360 | 1406-1415.5 | |
| 20 | 1321.4286-1331.4286 | 1377.7778 | 1389.6318 | 1396.36 | 1400 | 1403.91 | 1407.272 | 1411.7109 | 1418.1296 | 1431.57895 | 1480-1490 | |