10edf: Difference between revisions

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Line 18: Line 18:
! rowspan="2" |ed34\57
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+5¢''
! rowspan="2" |''ed37\60+5¢''
! rowspan="2" |2L 2s notation (soft)
|-
|-
!(~ed17\29)
!(~ed17\29)
Line 23: Line 24:
|-
|-
! colspan="12" |0
! colspan="12" |0
|A
|-
|-
|1
|1
Line 36: Line 38:
|71.57895
|71.57895
|''74-74.5''
|''74-74.5''
|A#
|
|-
|-
|2
|2
Line 49: Line 53:
|143.1579
|143.1579
|''148-149''
|''148-149''
|Bb
|-
|-
|3
|3
Line 62: Line 67:
|214.7368
|214.7368
|''222-223.5''
|''222-223.5''
|B
|-
|-
|4
|4
Line 75: Line 81:
|286.3158
|286.3158
|''296-298''
|''296-298''
|B#, Cb
|-
|-
|5
|5
Line 88: Line 95:
|357.8947
|357.8947
|''370-372.5''
|''370-372.5''
|C
|-
|-
|6
|6
Line 101: Line 109:
|429.4737
|429.4737
|''444-447''
|''444-447''
|C#
|-
|-
|7
|7
Line 114: Line 123:
|501.0526
|501.0526
|''518-521.5''
|''518-521.5''
|Db
|-
|-
|8
|8
Line 127: Line 137:
|572.6316
|572.6316
|''592-596''
|''592-596''
|D
|-
|-
|9
|9
Line 140: Line 151:
|644.2105
|644.2105
|''666-670.5''
|''666-670.5''
|D#, Ab
|-
|-
|10
|10
Line 153: Line 165:
|715.7895
|715.7895
|''740-745''
|''740-745''
|A
|-
|-
|11
|11
Line 166: Line 179:
|787.3684
|787.3684
|''814-819.5''
|''814-819.5''
|
|-
|-
|12
|12
Line 179: Line 193:
|858.9474
|858.9474
|''888-894''
|''888-894''
|
|-
|-
|13
|13
Line 192: Line 207:
|930.5263
|930.5263
|''962-968.5''
|''962-968.5''
|
|-
|-
|14
|14
Line 205: Line 221:
|1002.1053
|1002.1053
|''1036-1043''
|''1036-1043''
|
|-
|-
|15
|15
Line 218: Line 235:
|1073.6842
|1073.6842
|''1110-1117.5''
|''1110-1117.5''
|
|-
|-
|16
|16
Line 231: Line 249:
|1145.2632
|1145.2632
|''1184-1192''
|''1184-1192''
|
|-
|-
|17
|17
Line 244: Line 263:
|1216.8451
|1216.8451
|''1258-1268.5''
|''1258-1268.5''
|
|-
|-
|18
|18
Line 257: Line 277:
|1288.42105
|1288.42105
|''1332-1341''
|''1332-1341''
|
|-
|-
|19
|19
Line 270: Line 291:
|1360
|1360
|''1406-1415.5''
|''1406-1415.5''
|
|-
|-
|20
|20
Line 283: Line 305:
|1431.57895
|1431.57895
|''1480-1490''
|''1480-1490''
|
|}
|}
== Music ==
== Music ==

Revision as of 09:09, 17 February 2023

← 9edf 10edf 11edf →
Prime factorization 2 × 5
Step size 70.1955 ¢ 
Octave 17\10edf (1193.32 ¢)
(semiconvergent)
Twelfth 27\10edf (1895.28 ¢)
(semiconvergent)
Consistency limit 7
Distinct consistency limit 6

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) 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 A
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 A#
2 132.1429-133.1429 137.7778 138.9632 139.64 140 140.391 140.7272 141.1711 141.813 143.1579 148-149 Bb
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 B
4 264.2857-266.2857 275.5556 277.92635 279.27 280 280.782 281.4544 282.3422 283.6259 286.3158 296-298 B#, Cb
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 C
6 396.4286-399.4286 413.3333 416.8895 418.91 420 421.173 422.1816 423.5133 425.4389 429.4737 444-447 C#
7 462.5-466 482.2222 486.3711 488.73 490 491.3685 492.5452 494.0988 496.3454 501.0526 518-521.5 Db
8 528.5714-532.5714 551.1111 555.8527 558.545 560 561.564 562.9088 564.6843 567.2518 572.6316 592-596 D
9 594.6429-599.1429 620 625.3343 628.36 630 631.7595 633.2724 635.2699 638.1583 644.2105 666-670.5 D#, Ab
10 660.7143-665.7143 688.8889 694.8159 698.18 700 701.955 703.636 705.8555 709.0648 715.7895 740-745 A
11 726.7857-732.2857 757.7778 764.2974 768 770 772.1505 773.9996 776.441 779.9713 787.3684 814-819.5
12 792.8571-798.8571 826.6667 833.7791 837.82 840 842.346 844.3632 847.0265 850.8778 858.9474 888-894
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
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

Music

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