Xenharmonic Wiki

35edf: Difference between revisions

← Older edit
VisualWikitext
Cleanup
m →Intervals: cleanup
 
(One intermediate revision by the same user not shown)
Line 10: Line 10:
{{Harmonics in equal|35|3|2|intervals=integer|columns=11}}
{{Harmonics in equal|35|3|2|intervals=integer|columns=11}}
{{Harmonics in equal|35|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 35edf (continued)}}
{{Harmonics in equal|35|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 35edf (continued)}}
=== Subsets and supersets ===
Since 35 factors into primes as {{nowrap| 5 × 7 }}, 35edf has subset edfs [[5edf]] and [[7edf]].


== Intervals ==
== Intervals ==
{| class="wikitable mw-collapsible"
{| class="wikitable center-1 right-2 mw-collapsible"
|+ Intervals in 35edf
|+ Intervals in 35edf
|-
|-
! Degrees of 60edo
! #
! Cents value
! Cents
! Approximate ratios in the 2.3.5.13 subgroup
! Approximate ratios<br>in the 2.3.5.13 subgroup
! Additional ratios of 7 and 11 (assuming flat values for primes)
! Additional ratios<br>of 7 and 11 (assuming flat values for primes)
|-
|-
| colspan="2" | 0
| 0
| 0.0
|  
|  
|  
|  
|-
|-
| 1
| 1
| 20.0559
| 20.1
| 81/80
| 81/80
|  
|  
|-
|-
| 2
| 2
| 40.1117
| 40.1
|  
|  
|  
|  
|-
|-
| 3
| 3
| 60.1676
| 60.2
| 28/27, 27/26
| 28/27, 27/26
|  
|  
|-
|-
| 4
| 4
| 80.2234
| 80.2
|  
|  
| 21/20
| 21/20
|-
|-
| 5
| 5
| 100.2793
| 100.3
|  
|  
|  
|  
|-
|-
| 6
| 6
| 120.3351
| 120.3
| 16/15
| 16/15
|  
|  
|-
|-
| 7
| 7
| 140.391
| 140.4
|  
|  
|  
|  
|-
|-
| 8
| 8
| 160.4469
| 160.4
|  
|  
| 12/11, 11/10
| 12/11, 11/10
|-
|-
| 9
| 9
| 180.5027
| 180.5
| 10/9
| 10/9
|  
|  
|-
|-
| 10
| 10
| 200.5586
| 200.6
| 9/8
| 9/8
|  
|  
|-
|-
| 11
| 11
| 220.6144
| 220.6
|  
|  
|  
|  
|-
|-
| 12
| 12
| 240.6703
| 240.7
| 15/13
| 15/13
| 8/7
| 8/7
|-
|-
| 13
| 13
| 260.7621
| 260.8
|  
|  
| 7/6
| 7/6
|-
|-
| 14
| 14
| 280.782
| 280.8
|  
|  
|  
|  
|-
|-
| 15
| 15
| 300.8379
| 300.8
|  
|  
|  
|  
|-
|-
| 16
| 16
| 320.8937
| 320.9
| 6/5
| 6/5
|  
|  
|-
|-
| 17
| 17
| 340.9496
| 340.9
|  
|  
| 11/9
| 11/9
|-
|-
| 18
| 18
| 361.0054
| 361.0
| 16/13
| 16/13
|  
|  
|-
|-
| 19
| 19
| 381.0613
| 381.1
| 5/4
| 5/4
|  
|  
|-
|-
| 20
| 20
| 401.1171
| 401.1
|  
|  
|  
|  
|-
|-
| 21
| 21
| 421.173
| 421.2
|  
|  
| 14/11
| 14/11
|-
|-
| 22
| 22
| 441.2289
| 441.2
|  
|  
| 9/7
| 9/7
|-
|-
| 23
| 23
| 461.2847
| 461.3
| 13/10
| 13/10
|  
|  
|-
|-
| 24
| 24
| 481.3406
| 481.3
|  
|  
|  
|  
|-
|-
| 25
| 25
| 501.3964
| 501.4
| 4/3
| 4/3
|  
|  
|-
|-
| 26
| 26
| 521.4523
| 521.5
|  
|  
|  
|  
|-
|-
| 27
| 27
| 541.5081
| 541.5
|  
|  
| 11/8, 15/11
| 11/8, 15/11
|-
|-
| 28
| 28
| 561.564
| 561.6
| 18/13
| 18/13
|  
|  
|-
|-
| 29
| 29
| 581.6199
| 581.6
|  
|  
| 7/5
| 7/5
|-
|-
| 30
| 30
| 601.6757
| 601.7
|  
|  
|  
|  
|-
|-
| 31
| 31
| 621.7315
| 621.7
|  
|  
| 10/7
| 10/7
|-
|-
| 32
| 32
| 641.7874
| 641.8
| 13/9
| 13/9
|  
|  
|-
|-
| 33
| 33
| 661.8433
| 661.8
|  
|  
| 16/11, 22/15
| 16/11, 22/15
|-
|-
| 34
| 34
| 681.8891
| 681.9
|  
|  
|  
|  
|-
|-
| 35
| 35
| 701.955
| 702.0
| 3/2
| 3/2
|  
|  
|-
|-
| 36
| 36
| 722.0109
| 722.0
|  
|  
|  
|  
|-
|-
| 37
| 37
| 742.0667
| 742.1
| 20/13
| 20/13
|  
|  
|-
|-
| 38
| 38
| 762.1226
| 762.1
|  
|  
| 14/9
| 14/9
|-
|-
| 39
| 39
| 782.1784
| 782.2
|  
|  
| 11/7
| 11/7
|-
|-
| 40
| 40
| 802.2343
| 802.2
|  
|  
|  
|  
|-
|-
| 41
| 41
| 822.2901
| 822.3
| 8/5
| 8/5
|  
|  
|-
|-
| 42
| 42
| 842.346
| 842.3
| 13/8
| 13/8
|  
|  
|-
|-
| 43
| 43
| 862.4019
| 862.4
|  
|  
| 18/11
| 18/11
|-
|-
| 44
| 44
| 882.4577
| 882.5
| 5/3
| 5/3
|  
|  
|-
|-
| 45
| 45
| 902.5136
| 902.5
|  
|  
|  
|  
|-
|-
| 46
| 46
| 922.5694
| 922.6
|  
|  
|  
|  
|-
|-
| 47
| 47
| 942.6253
| 942.6
|  
|  
| 12/7
| 12/7
|-
|-
| 48
| 48
| 962.6811
| 962.7
| 26/15
| 26/15
| 7/4
| 7/4
|-
|-
| 49
| 49
| 982.737
| 982.7
|  
|  
|  
|  
|-
|-
| 50
| 50
| 1002.7929
| 1002.8
| 16/9
| 16/9
|  
|  
|-
|-
| 51
| 51
| 1022.8487
| 1022.8
| 9/5
| 9/5
|  
|  
|-
|-
| 52
| 52
| 1042.9046
| 1042.9
|  
|  
| 11/6, 20/11
| 11/6, 20/11
|-
|-
| 53
| 53
| 1062.9604
| 1063.0
|  
|  
|  
|  
|-
|-
| 54
| 54
| 1083.0163
| 1083.0
| 15/8
| 15/8
|  
|  
|-
|-
| 55
| 55
| 1103.0721
| 1103.1
|  
|  
|  
|  
|-
|-
| 56
| 56
| 1123.128
| 1123.1
|  
|  
|  
|  
|-
|-
| 57
| 57
| 1143.1839
| 1143.2
|  
|  
|  
|  
|-
|-
| 58
| 58
| 1163.2397
| 1163.2
|  
|  
|  
|  
|-
|-
| 59
| 59
| 1183.2956
| 1183.3
|  
|  
|  
|  
|-
|-
| 60
| 60
| 1203.3514
| 1203.4
|  
|  
|  
|  
|-
|-
| 61
| 61
| 1223.4073
| 1223.4
| 81/40
| 81/40
|  
|  
|-
|-
| 62
| 62
| 1243.4631
| 1243.5
|  
|  
|  
|  
|-
|-
| 63
| 63
| 1263.519
| 1263.5
| 56/27, 27/13
| 56/27, 27/13
|  
|  
|-
|-
| 64
| 64
| 1283.5749
| 1283.6
|  
|  
| 21/10
| 21/10
|-
|-
| 65
| 65
| 1303.6307
| 1303.6
|  
|  
|  
|  
|-
|-
| 66
| 66
| 1323.6866
| 1323.7
| 32/15
| 32/15
|  
|  
|-
|-
| 67
| 67
| 1343.7424
| 1343.7
|  
|  
|  
|  
|-
|-
| 68
| 68
| 1363.7983
| 1363.8
|  
|  
| 24/11, 11/5
| 24/11, 11/5
|-
|-
| 69
| 69
| 1383.85415
| 1383.9
| 20/9
| 20/9
|  
|  
|-
|-
| 70
| 70
| 1403.91
| 1403.9
| 9/4
| 9/4
|  
|  
Retrieved from "https://en.xen.wiki/w/35edf"