10edf
| ← 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¢ | Neptunian notation using 8\10edf | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (~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, vDb |
| 2 | 132.1429-133.1429 | [[1]] | [[2]] | 139.64 | 140 | 140.391 | [[3]] | [[4]] | 141.813 | [[5]] | 148-149 | C#, Db |
| 3 | 198.2143-199.7143 | [[6]] | [[7]] | 209.455 | 210 | [[8]] | [[9]] | [[10]] | [[11]] | [[12]] | 222-223.5 | vD |
| 4 | 264.2857-266.2857 | [[13]] | 277.92635 | 279.27 | 280 | 280.782 | [[14]] | [[15]] | [[16]] | [[17]] | 296-298 | D |
| 5 | 330.3571-332.8571 | [[18]] | [[19]] | 349.09 | 350 | [[20]] | 351.818 | [[21]] | [[22]] | [[23]] | 370-372.5 | ^D, vE |
| 6 | 396.4286-399.4286 | [[24]] | [[25]] | 418.91 | 420 | 421.173 | [[26]] | [[27]] | [[28]] | [[29]] | 444-447 | E |
| 7 | 462.5-466 | [[30]] | [[31]] | 488.73 | 490 | [[32]] | [[33]] | [[34]] | [[35]] | [[36]] | 518-521.5 | ^E, vF |
| 8 | 528.5714-532.5714 | [[37]] | [[38]] | 558.545 | 560 | 561.564 | [[39]] | [[40]] | [[41]] | [[42]] | 592-596 | F |
| 9 | 594.6429-599.1429 | 620 | [[43]] | 628.36 | 630 | [[44]] | [[45]] | [[46]] | [[47]] | [[48]] | 666-670.5 | ^F, vC |
| 10 | 660.7143-665.7143 | [[49]] | [[50]] | 698.18 | 700 | 701.955 | 703.636 | [[51]] | [[52]] | [[53]] | 740-745 | C |
| 11 | 726.7857-732.2857 | [[54]] | [[55]] | 768 | 770 | [[56]] | [[57]] | 776.441 | [[58]] | [[59]] | 814-819.5 | ^C, vDb |
| 12 | 792.8571-798.8571 | [[60]] | [[61]] | 837.82 | 840 | 842.346 | [[62]] | [[63]] | [[64]] | [[65]] | 888-894 | C#, Db |
| 13 | 858.9286-865.4286 | [[66]] | 903.26065 | 907.64 | 910 | [[67]] | [[68]] | [[69]] | [[70]] | [[71]] | 962-968.5 | vD |
| 14 | 925-932 | [[72]] | [[73]] | 977.455 | 980 | 982.737 | [[74]] | [[75]] | [[76]] | 1002.1053 | 1036-1043 | D |
| 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 | ^D, vE |
| 16 | 1057.1429-1065.1429 | 1102.2222 | 1111.7054 | 1117.09 | 1120 | 1123.128 | 1125.81765 | 1129.3688 | 1134.5037 | 1145.2632 | 1184-1192 | E |
| 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 | ^E, vF |
| 18 | 1189.2857-1198.2857 | 1240 | 1250.6686 | 1256.73 | 1260 | 1263.519 | 1266.5449 | 1270.5398 | 1276.3166 | 1288.42105 | 1332-1341 | F |
| 19 | 1255.3571-1263.8571 | 1308.8889 | 1320.1502 | 1326.545 | 1330 | 1333.7145 | 1336.9085 | 1341.1254 | 1347.2231 | 1360 | 1406-1415.5 | ^F, vC |
| 20 | 1321.4286-1331.4286 | 1377.7778 | 1389.6318 | 1396.36 | 1400 | 1403.91 | 1407.272 | 1411.7109 | 1418.1296 | 1431.57895 | 1480-1490 | C |