10edf: Difference between revisions

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==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
!degree
!
![[1L 3s (fifth-equivalent)|Neptunian]] notation using 8\10edf
|-
|-
! rowspan="2" |degree
! colspan="2" |0
! rowspan="2" |''ed233\420-5¢''
! rowspan="2" |ed31\54
! rowspan="2" |ed121/81 (~ed11\19)
! rowspan="2" |ed32\55
! rowspan="2" |ed700¢=''r¢''
! rowspan="2" |ed3/2
! colspan="2" |Pyrite
! rowspan="2" |ed122/81 (~ed13\22)
! rowspan="2" |ed34\57
! rowspan="2" |''ed37\60+5¢''
! rowspan="2" | [[1L 3s (fifth-equivalent)|Neptunian]] notation using 8\10edf
|-
!(~ed17\29)
!(~ed10\17)
|-
! colspan="12" |0
|C
|C
|-
|-
|1
| 1
|''66.0714-66.5714''
|68.8889
|69.4816
|69.82
|''70''
|70.1955
|70.1955
|70.3636
|70.58555
|70.9065
|71.57895
|''74-74.5''
|^C, vDb
|^C, vDb
|-
|-
|2
|2
|''132.1429-133.1429''
|137.7778
|138.9632
|139.64
|''140''
|140.391
|140.391
|140.7272
|141.1711
|141.813
|143.1579
|''148-149''
|C#, Db
|C#, Db
|-
|-
|3
|3
|''198.2143-199.7143''
|[[Tel:210.5865|210.5865]]
|206.6667
|208.4448
|209.455
|''210''
|210.5865
|211.0908
|211.7566
|212.7194
|214.7368
|''222-223.5''
|vD
|vD
|-
|-
|4
|4
|''264.2857-266.2857''
|275.5556
|277.92635
|279.27
|''280''
|280.782
|280.782
|281.4544
|282.3422
|283.6259
|286.3158
|''296-298''
|D
|D
|-
|-
|5
|5
|''330.3571-332.8571''
|[[Tel:350.9775|350.9775]]
|344.4444
|347.4079
|349.09
|''350''
|350.9775
|351.818
|352.9277
|354.5324
|357.8947
|''370-372.5''
|^D, vE
|^D, vE
|-
|-
|6
|6
|''396.4286-399.4286''
|413.3333
|416.8895
|418.91
|''420''
|421.173
|421.173
|422.1816
|423.5133
|425.4389
|429.4737
|''444-447''
|E
|E
|-
|-
|7
|7
|''462.5-466''
|[[Tel:491.3685|491.3685]]
|482.2222
|486.3711
|488.73
|''490''
|491.3685
|492.5452
|494.0988
|496.3454
|501.0526
|''518-521.5''
|^E, vF
|^E, vF
|-
|-
|8
| 8
|''528.5714-532.5714''
|551.1111
|555.8527
|558.545
|''560''
|561.564
|561.564
|562.9088
|564.6843
|567.2518
|572.6316
|''592-596''
|F
|F
|-
|-
|9
|9
|''594.6429-599.1429''
|[[Tel:631.7595|631.7595]]
|620
|625.3343
|628.36
|''630''
|631.7595
|633.2724
|635.2699
|638.1583
|644.2105
|''666-670.5''
|^F, vC
|^F, vC
|-
|-
|10
|10
|''660.7143-665.714''3
|688.8889
|694.8159
|698.18
|''700''
|701.955
|701.955
|703.636
|705.8555
|709.0648
|715.7895
|''740-745''
|C
|C
|-
|-
|11
|11
|''726.7857-732.2857''
|[[Tel:772.1505|772.1505]]
|757.7778
|764.2974
|768
|''770''
|772.1505
|773.9996
|776.441
|779.9713
|787.3684
|''814-819.5''
|^C, vDb
|^C, vDb
|-
|-
|12
|12
|''792.8571-798.8571''
|826.6667
|833.7791
|837.82
|''840''
|842.346
|842.346
|844.3632
|847.0265
|850.8778
|858.9474
|''888-894''
|C#, Db
|C#, Db
|-
|-
|13
|13
|''858.9286-865.4286''
|[[Tel:912.5415|912.5415]]
|895.5556
|903.26065
|907.64
|''910''
|912.5415
|914.7268
|917.6121
|921.7842
|930.5263
|''962-968.5''
|vD
|vD
|-
|-
|14
|14
|''925-932''
|964.4444
|972.7422
|977.455
|''980''
|982.737
|982.737
|985.0904
|988.1976
|992.6907
|1002.1053
|''1036-1043''
|D
|D
|-
|-
|15
|15
|''991.0714-998.5714''
|1033.3333
|1042.2238
|1047.27
|''1050''
|1052.9325
|1052.9325
|1055.45405
|1058.7832
|1063.5972
|1073.6842
|''1110-1117.5''
|^D, vE
|^D, vE
|-
|-
|16
|16
|''1057.1429-1065.1429''
|1102.2222
|1111.7054
|1117.09
|''1120''
|1123.128
|1123.128
|1125.81765
|1129.3688
|1134.5037
|1145.2632
|''1184-1192''
|E
|E
|-
|-
|17
|17
|''1123.2143-1131.7143''
|1171.1111
|1181.187
|1186.91
|''1190''
|1193.3235
|1193.3235
|1196.18125
|1199.9543
|1205.4102
|1216.8451
|''1258-1268.5''
|^E, vF
|^E, vF
|-
|-
|18
|18
|''1189.2857-1198.2857''
|1240
|1250.6686
|1256.73
|''1260''
|1263.519
|1263.519
|1266.5449
|1270.5398
|1276.3166
|1288.42105
|''1332-1341''
|F
|F
|-
|-
|19
|19
|''1255.3571-1263.8571''
|1308.8889
|1320.1502
|1326.545
|''1330''
|1333.7145
|1333.7145
|1336.9085
|1341.1254
|1347.2231
|1360
|''1406-1415.5''
|^F, vC
|^F, vC
|-
|-
|20
|20
|''1321.4286-1331.4286''
|1377.7778
|1389.6318
|1396.36
|''1400''
|1403.91
|1403.91
|1407.272
|1411.7109
|1418.1296
|1431.57895
|''1480-1490''
|C
|C
|}
|}
== Music ==
==Music==
* http://www.archive.org/details/10Edf by [[Peter Kosmorsky]]
*http://www.archive.org/details/10Edf by [[Peter Kosmorsky]]


[[Category:Edf]]
[[Category:Edf]]

Revision as of 04:03, 8 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 Neptunian notation using 8\10edf
0 C
1 70.1955 ^C, vDb
2 140.391 C#, Db
3 [[1]] vD
4 280.782 D
5 [[2]] ^D, vE
6 421.173 E
7 [[3]] ^E, vF
8 561.564 F
9 [[4]] ^F, vC
10 701.955 C
11 [[5]] ^C, vDb
12 842.346 C#, Db
13 [[6]] vD
14 982.737 D
15 1052.9325 ^D, vE
16 1123.128 E
17 1193.3235 ^E, vF
18 1263.519 F
19 1333.7145 ^F, vC
20 1403.91 C

Music

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