10edf: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
m Fix telephone links
Tag: Undo
Line 42: Line 42:
|2
|2
|''132.1429-133.1429''
|''132.1429-133.1429''
|[[Tel:137.7778|137.7778]]
|137.7778
|[[Tel:138.9632|138.9632]]
|138.9632
|139.64
|139.64
|''140''
|''140''
|140.391
|140.391
|[[Tel:140.7272|140.7272]]
|140.7272
|[[Tel:141.1711|141.1711]]
|141.1711
|141.813
|141.813
|[[Tel:143.1579|143.1579]]
|143.1579
|''148-149''
|''148-149''
|C#, Db
|C#, Db
Line 56: Line 56:
|3
|3
|''198.2143-199.7143''
|''198.2143-199.7143''
|[[Tel:206.6667|206.6667]]
|206.6667
|[[Tel:208.4448|208.4448]]
|208.4448
|209.455
|209.455
|''210''
|''210''
|[[Tel:210.5865|210.5865]]
|210.5865
|[[Tel:211.0908|211.0908]]
|211.0908
|[[Tel:211.7566|211.7566]]
|211.7566
|[[Tel:212.7194|212.7194]]
|212.7194
|[[Tel:214.7368|214.7368]]
|214.7368
|''222-223.5''
|''222-223.5''
|vD
|vD
Line 70: Line 70:
|4
|4
|''264.2857-266.2857''
|''264.2857-266.2857''
|[[Tel:275.5556|275.5556]]
|275.5556
|277.92635
|277.92635
|279.27
|279.27
|''280''
|''280''
|280.782
|280.782
|[[Tel:281.4544|281.4544]]
|281.4544
|[[Tel:282.3422|282.3422]]
|282.3422
|[[Tel:283.6259|283.6259]]
|283.6259
|[[Tel:286.3158|286.3158]]
|286.3158
|''296-298''
|''296-298''
|D
|D
Line 84: Line 84:
|5
|5
|''330.3571-332.8571''
|''330.3571-332.8571''
|[[Tel:344.4444|344.4444]]
|344.4444
|[[Tel:347.4079|347.4079]]
|347.4079
|349.09
|349.09
|''350''
|''350''
|[[Tel:350.9775|350.9775]]
|350.9775
|351.818
|351.818
|[[Tel:352.9277|352.9277]]
|352.9277
|[[Tel:354.5324|354.5324]]
|354.5324
|[[Tel:357.8947|357.8947]]
|357.8947
|''370-372.5''
|''370-372.5''
|^D, vE
|^D, vE
Line 98: Line 98:
|6
|6
|''396.4286-399.4286''
|''396.4286-399.4286''
|[[Tel:413.3333|413.3333]]
|413.3333
|[[Tel:416.8895|416.8895]]
|416.8895
|418.91
|418.91
|''420''
|''420''
|421.173
|421.173
|[[Tel:422.1816|422.1816]]
|422.1816
|[[Tel:423.5133|423.5133]]
|423.5133
|[[Tel:425.4389|425.4389]]
|425.4389
|[[Tel:429.4737|429.4737]]
|429.4737
|''444-447''
|''444-447''
|E
|E
Line 112: Line 112:
|7
|7
|''462.5-466''
|''462.5-466''
|[[Tel:482.2222|482.2222]]
|482.2222
|[[Tel:486.3711|486.3711]]
|486.3711
|488.73
|488.73
|''490''
|''490''
|[[Tel:491.3685|491.3685]]
|491.3685
|[[Tel:492.5452|492.5452]]
|492.5452
|[[Tel:494.0988|494.0988]]
|494.0988
|[[Tel:496.3454|496.3454]]
|496.3454
|[[Tel:501.0526|501.0526]]
|501.0526
|''518-521.5''
|''518-521.5''
|^E, vF
|^E, vF
Line 126: Line 126:
|8
|8
|''528.5714-532.5714''
|''528.5714-532.5714''
|[[Tel:551.1111|551.1111]]
|551.1111
|[[Tel:555.8527|555.8527]]
|555.8527
|558.545
|558.545
|''560''
|''560''
|561.564
|561.564
|[[Tel:562.9088|562.9088]]
|562.9088
|[[Tel:564.6843|564.6843]]
|564.6843
|[[Tel:567.2518|567.2518]]
|567.2518
|[[Tel:572.6316|572.6316]]
|572.6316
|''592-596''
|''592-596''
|F
|F
Line 141: Line 141:
|''594.6429-599.1429''
|''594.6429-599.1429''
|620
|620
|[[Tel:625.3343|625.3343]]
|625.3343
|628.36
|628.36
|''630''
|''630''
|[[Tel:631.7595|631.7595]]
|631.7595
|[[Tel:633.2724|633.2724]]
|633.2724
|[[Tel:635.2699|635.2699]]
|635.2699
|[[Tel:638.1583|638.1583]]
|638.1583
|[[Tel:644.2105|644.2105]]
|644.2105
|''666-670.5''
|''666-670.5''
|^F, vC
|^F, vC
Line 154: Line 154:
|10
|10
|''660.7143-665.714''3
|''660.7143-665.714''3
|[[Tel:688.8889|688.8889]]
|688.8889
|[[Tel:694.8159|694.8159]]
|694.8159
|698.18
|698.18
|''700''
|''700''
|701.955
|701.955
|703.636
|703.636
|[[Tel:705.8555|705.8555]]
|705.8555
|[[Tel:709.0648|709.0648]]
|709.0648
|[[Tel:715.7895|715.7895]]
|715.7895
|''740-745''
|''740-745''
|C
|C
Line 168: Line 168:
|11
|11
|''726.7857-732.2857''
|''726.7857-732.2857''
|[[Tel:757.7778|757.7778]]
|757.7778
|[[Tel:764.2974|764.2974]]
|764.2974
|768
|768
|''770''
|''770''
|[[Tel:772.1505|772.1505]]
|772.1505
|[[Tel:773.9996|773.9996]]
|773.9996
|776.441
|776.441
|[[Tel:779.9713|779.9713]]
|779.9713
|[[Tel:787.3684|787.3684]]
|787.3684
|''814-819.5''
|''814-819.5''
|^C, vDb
|^C, vDb
Line 182: Line 182:
|12
|12
|''792.8571-798.8571''
|''792.8571-798.8571''
|[[Tel:826.6667|826.6667]]
|826.6667
|[[Tel:833.7791|833.7791]]
|833.7791
|837.82
|837.82
|''840''
|''840''
|842.346
|842.346
|[[Tel:844.3632|844.3632]]
|844.3632
|[[Tel:847.0265|847.0265]]
|847.0265
|[[Tel:850.8778|850.8778]]
|850.8778
|[[Tel:858.9474|858.9474]]
|858.9474
|''888-894''
|''888-894''
|C#, Db
|C#, Db
Line 196: Line 196:
|13
|13
|''858.9286-865.4286''
|''858.9286-865.4286''
|[[Tel:895.5556|895.5556]]
|895.5556
|903.26065
|903.26065
|907.64
|907.64
|''910''
|''910''
|[[Tel:912.5415|912.5415]]
|912.5415
|[[Tel:914.7268|914.7268]]
|914.7268
|[[Tel:917.6121|917.6121]]
|917.6121
|[[Tel:921.7842|921.7842]]
|921.7842
|[[Tel:930.5263|930.5263]]
|930.5263
|''962-968.5''
|''962-968.5''
|vD
|vD
Line 210: Line 210:
|14
|14
|''925-932''
|''925-932''
|[[Tel:964.4444|964.4444]]
|964.4444
|[[Tel:972.7422|972.7422]]
|972.7422
|977.455
|977.455
|''980''
|''980''
|982.737
|982.737
|[[Tel:985.0904|985.0904]]
|985.0904
|[[Tel:988.1976|988.1976]]
|988.1976
|[[Tel:992.6907|992.6907]]
|992.6907
|1002.1053
|1002.1053
|''1036-1043''
|''1036-1043''

Revision as of 07:44, 7 March 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¢ 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 137.7778 138.9632 139.64 140 140.391 140.7272 141.1711 141.813 143.1579 148-149 C#, 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 vD
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
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 ^D, vE
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 ^E, vF
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, vC
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, vDb
12 792.8571-798.8571 826.6667 833.7791 837.82 840 842.346 844.3632 847.0265 850.8778 858.9474 888-894 C#, 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 vD
14 925-932 964.4444 972.7422 977.455 980 982.737 985.0904 988.1976 992.6907 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

Music

Retrieved from "https://en.xen.wiki/index.php?title=10edf&oldid=104938"