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Leapday: Difference between revisions

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+ norm-based tunings. Switch to CWE in the interval table
Line 37: Line 37:
|-
|-
| 1
| 1
| 704.3
| 704.2
| '''3/2'''
| '''3/2'''
|  
|  
|-
|-
| 2
| 2
| 208.6
| 208.5
| '''9/8'''
| '''9/8'''
| 17/15, 26/23
| 17/15, 26/23
|-
|-
| 3
| 3
| 912.9
| 912.7
| 22/13, 27/16
| 22/13, 27/16
| 17/10
| 17/10
|-
|-
| 4
| 4
| 417.2
| 416.9
| 14/11, 33/26
| 14/11, 33/26
| 23/18
| 23/18
|-
|-
| 5
| 5
| 1121.5
| 1121.2
| 21/11, 40/21
| 21/11, 40/21
| 23/12, 44/23
| 23/12, 44/23
|-
|-
| 6
| 6
| 625.8
| 625.4
| 10/7, 13/9
| 10/7, 13/9
| '''23/16'''
| '''23/16'''
|-
|-
| 7
| 7
| 130.0
| 129.6
| 13/12, 14/13, 15/14
| 13/12, 14/13, 15/14
|  
|  
|-
|-
| 8
| 8
| 834.3
| 833.9
| '''13/8''', 21/13
| '''13/8''', 21/13
| 34/21
| 34/21
|-
|-
| 9
| 9
| 338.6
| 338.1
| 11/9, 39/32, 40/33
| 11/9, 39/32, 40/33
| 17/14, 28/23
| 17/14, 28/23
|-
|-
| 10
| 10
| 1042.9
| 1042.3
| 11/6, 20/11
| 11/6, 20/11
| 42/23
| 42/23
|-
|-
| 11
| 11
| 547.2
| 546.6
| '''11/8''', 15/11
| '''11/8''', 15/11
|  
|  
|-
|-
| 12
| 12
| 51.5
| 50.8
| 28/27, 33/32, 40/39, 45/44
| 28/27, 33/32, 40/39, 45/44
| 34/33, 35/34
| 34/33, 35/34
|-
|-
| 13
| 13
| 755.8
| 755.1
| 14/9, 20/13
| 14/9, 20/13
| 17/11
| 17/11
|-
|-
| 14
| 14
| 260.1
| 259.3
| 7/6, 15/13
| 7/6, 15/13
|  
|  
|-
|-
| 15
| 15
| 964.4
| 963.5
| '''7/4'''
| '''7/4'''
| 40/23
| 40/23
|-
|-
| 16
| 16
| 468.7
| 467.8
| '''21/16'''
| '''21/16'''
| 17/13, 30/23
| 17/13, 30/23
|-
|-
| 17
| 17
| 1173.0
| 1172.0
| 63/32, 160/81
| 63/32, 160/81
| 45/23, 51/26
| 45/23, 51/26
|-
|-
| 18
| 18
| 677.3
| 676.2
| 40/27
| 40/27
| 34/23
| 34/23
|-
|-
| 19
| 19
| 181.6
| 180.5
| 10/9
| 10/9
|  
|  
|-
|-
| 20
| 20
| 885.8
| 884.7
| 5/3
| 5/3
|  
|  
|-
|-
| 21
| 21
| 390.1
| 388.9
| '''5/4'''
| '''5/4'''
|  
|  
|-
|-
| 22
| 22
| 1094.4
| 1093.2
| '''15/8'''
| '''15/8'''
| 17/9
| 17/9
|-
|-
| 23
| 23
| 598.7
| 597.4
| 45/32
| 45/32
| 17/12
| 17/12
|}
|}
<nowiki />* In 13-limit CTE tuning
<nowiki/>* In 13-limit CWE tuning, octave reduced


== Tunings ==
== Tunings ==
=== Norm-based tunings ===
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~3/2 = 704.2257{{c}}
| CWE: ~3/2 = 704.2504{{c}}
| POTE: ~3/2 = 704.2634{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 13-limit norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~3/2 = 704.2924{{c}}
| CWE: ~3/2 = 704.2346{{c}}
| POTE: ~3/2 = 704.2138{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | No-19 23-limit norm-based tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~3/2 = 704.3142{{c}}
| CWE: ~3/2 = 704.2450{{c}}
| POTE: ~3/2 = 704.2246{{c}}
|}
=== Tuning spectrum ===
=== Tuning spectrum ===
This spectrum assumes 19-limit leapday.  
This spectrum assumes 19-limit leapday.  
Retrieved from "https://en.xen.wiki/w/Leapday"