Valentine: Difference between revisions

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See [[Starling_temperaments#Valentine temperament|Starling temperaments]].
See [[Starling temperaments #Valentine]] or [[Gamelismic clan #Valentine]].


=Generator Chain=
== Generator Chain ==
 
{| class="wikitable center-1 right-2"
{| class="wikitable"
|-
|-
! | Generators
! #
! | Cents*
! Cents*
! | 11-limit ratios
! 11-limit ratios<br>(valentine mapping)
 
! 13-limit ratios<br>(valentino mapping)
(valentine mapping)
! 13-limit ratios<br>(lupercalia mapping)
! | 13-limit ratios
! 13-limit ratios<br>(dwynwen mapping)
 
(valentino mapping)
! | 13-limit ratios
 
(lupercalia mapping)
! | 13-limit ratios
 
(dwynwen mapping)
|-
|-
| | 0
| 0
| style="text-align:right;" | 0.00
| 0.00
| | 1/1
| 1/1
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 1
| 1
| style="text-align:right;" | 77.88
| 77.88
| | 21/20, 22/21, 25/24
| 21/20, 22/21, 25/24
| |  
|  
| | 26/25
| 26/25
| | 27/26
| 27/26
|-
|-
| | 2
| 2
| style="text-align:right;" | 155.76
| 155.76
| | 12/11, 11/10, 35/32
| 12/11, 11/10, 35/32
| |  
|  
| | 13/12
| 13/12
| |  
|  
|-
|-
| | 3
| 3
| style="text-align:right;" | 233.64
| 233.64
| | 8/7
| 8/7
| |  
|  
| | 15/13
| 15/13
| |  
|  
|-
|-
| | 4
| 4
| style="text-align:right;" | 311.52
| 311.52
| | 6/5
| 6/5
| |  
|  
| | 13/11
| 13/11
| |  
|  
|-
|-
| | 5
| 5
| style="text-align:right;" | 389.41
| 389.41
| | 5/4
| 5/4
| |  
|  
| | 26/21, 33/26
| 26/21, 33/26
| |  
|  
|-
|-
| | 6
| 6
| style="text-align:right;" | 467.29
| 467.29
| | 21/16
| 21/16
| |  
|  
| | 13/10
| 13/10
| |  
|  
|-
|-
| | 7
| 7
| style="text-align:right;" | 545.17
| 545.17
| | 11/8, 15/11
| 11/8, 15/11
| |  
|  
| | 18/13
| 18/13
| |  
|  
|-
|-
| | 8
| 8
| style="text-align:right;" | 623.05
| 623.05
| | 10/7
| 10/7
| | 56/39
| 56/39
| |  
|  
| | 13/9
| 13/9
|-
|-
| | 9
| 9
| style="text-align:right;" | 700.93
| 700.93
| | 3/2
| 3/2
| |  
|  
| | 52/35
| 52/35
| |  
|  
|-
|-
| | 10
| 10
| style="text-align:right;" | 778.81
| 778.81
| | 11/7, 25/16
| 11/7, 25/16
| |  
|  
| |  
|  
| | 52/33
| 52/33
|-
|-
| | 11
| 11
| style="text-align:right;" | 856.69
| 856.69
| | 18/11
| 18/11
| | 64/39
| 64/39
| | 13/8
| 13/8
| |  
|  
|-
|-
| | 12
| 12
| style="text-align:right;" | 934.57
| 934.57
| | 12/7
| 12/7
| |  
|  
| |  
|  
| | 26/15
| 26/15
|-
|-
| | 13
| 13
| style="text-align:right;" | 1012.46
| 1012.46
| | 9/5, 25/14
| 9/5, 25/14
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 14
| 14
| style="text-align:right;" | 1090.34
| 1090.34
| | 15/8
| 15/8
| |  
|  
| | 13/7
| 13/7
| |  
|  
|-
|-
| | 15
| 15
| style="text-align:right;" | 1168.22
| 1168.22
| | 63/32, 96/49, 55/28, 108/55, 125/64
| 63/32, 96/49, 55/28, 108/55, 125/64
| |  
|  
| | 39/20
| 39/20
| |  
|  
|-
|-
| | 16
| 16
| style="text-align:right;" | 46.10
| 46.10
| | 33/32, 36/35, 50/49
| 33/32, 36/35, 50/49
| | 40/39
| 40/39
| | 27/26
| 27/26
| | 26/25
| 26/25
|-
|-
| | 17
| 17
| style="text-align:right;" | 123.98
| 123.98
| | 15/14, 27/25
| 15/14, 27/25
| | 14/13
| 14/13
| |  
|  
| | 13/12
| 13/12
|-
|-
| | 18
| 18
| style="text-align:right;" | 201.86
| 201.86
| | 9/8
| 9/8
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 19
| 19
| style="text-align:right;" | 279.74
| 279.74
| | 33/28
| 33/28
| |  
|  
| |  
|  
| | 13/11
| 13/11
|-
|-
| | 20
| 20
| style="text-align:right;" | 357.62
| 357.62
| | 27/22
| 27/22
| | 16/13
| 16/13
| | 39/32
| 39/32
| | 26/21
| 26/21
|-
|-
| | 21
| 21
| style="text-align:right;" | 435.51
| 435.51
| | 9/7
| 9/7
| |  
|  
| |  
|  
| | 13/10
| 13/10
|-
|-
| | 22
| 22
| style="text-align:right;" | 513.39
| 513.39
| | 27/20
| 27/20
| | 35/26
| 35/26
| |  
|  
| |  
|  
|-
|-
| | 23
| 23
| style="text-align:right;" | 591.27
| 591.27
| | 45/32
| 45/32
| |  
|  
| | 39/28
| 39/28
| |  
|  
|-
|-
| | 24
| 24
| style="text-align:right;" | 669.15
| 669.15
| | 72/49
| 72/49
| |  
|  
| |  
|  
| | 52/35
| 52/35
|-
|-
| | 25
| 25
| style="text-align:right;" | 747.03
| 747.03
| | 54/35
| 54/35
| | 20/13
| 20/13
| |  
|  
| |  
|  
|-
|-
| | 26
| 26
| style="text-align:right;" | 824.91
| 824.91
| | 45/28
| 45/28
| | 21/13
| 21/13
| |  
|  
| | 13/8
| 13/8
|-
|-
| | 27
| 27
| style="text-align:right;" | 902.79
| 902.79
| | 27/16
| 27/16
| | 22/13
| 22/13
| |  
|  
| |  
|  
|-
|-
| | 28
| 28
| style="text-align:right;" | 980.67
| 980.67
| |  
|  
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 29
| 29
| style="text-align:right;" | 1058.56
| 1058.56
| | 90/49
| 90/49
| | 24/13
| 24/13
| |  
|  
| | 13/7
| 13/7
|-
|-
| | 30
| 30
| style="text-align:right;" | 1136.44
| 1136.44
| | 27/14
| 27/14
| | 25/13
| 25/13
| |  
|  
| | 39/20
| 39/20
|-
|-
| | 31
| 31
| style="text-align:right;" | 14.32
| 14.32
| | 81/80, 99/98
| 81/80, 99/98
| |  
|  
| |  
|  
| |  
|  
|}
|}
&#42;in 11-limit POTE tuning


=Spectrum of Valentine Tunings by Eigenmonzos=
<nowiki>*</nowiki> in 11-limit POTE tuning
 
== Spectrum of Valentine Tunings by Eigenmonzos ==


{| class="wikitable"
{| class="wikitable"
|-
|-
! | Eigenmonzo
! Eigenmonzo
! | Minor Semitone
! Minor Semitone
|-
|-
| | 12/11
| 12/11
| | 75.319
| 75.319
|-
|-
| | 8/7
| 8/7
| | 77.058
| 77.058
|-
|-
| | 7/5
| 7/5
| | 77.186
| 77.186
|-
|-
| | 5/4
| 5/4
| | 77.263
| 77.263
|-
|-
| | 11/9
| 11/9
| | 77.508
| 77.508
|-
|-
| | 7/6
| 7/6
| | 77.761 (7 limit minimax)
| 77.761 (7 limit minimax)
|-
|-
| | 9/7
| 9/7
| | 77.861 (9 limit minimax)
| 77.861 (9 limit minimax)
|-
|-
| | 4/3
| 4/3
| | 77.995 (5 limit minimax, Carlos Alpha tuning)
| 77.995 (5 limit minimax, Carlos Alpha tuning)
|-
|-
| | 14/11
| 14/11
| | 78.249 (11 limit minimax)
| 78.249 (11 limit minimax)
|-
|-
| | 10/9
| 10/9
| | 78.277
| 78.277
|-
|-
| | 11/8
| 11/8
| | 78.760
| 78.760
|-
|-
| | 6/5
| 6/5
| | 78.910
| 78.910
|-
|-
| | 11/10
| 11/10
| | 82.502
| 82.502
|}
|}
[[Category:starling]]
 
[[Category:temperament]]
[[Category:Temperament]]
[[Category:todo:add_definition]]
[[Category:Starling]]
[[Category:valentine]]
[[Category:Valentine]]
[[Category:Gamelismic]]
 
[[Category:Todo:add definition]]

Revision as of 08:07, 12 October 2020

See Starling temperaments #Valentine or Gamelismic clan #Valentine.

Generator Chain

# Cents* 11-limit ratios
(valentine mapping) 		13-limit ratios
(valentino mapping) 		13-limit ratios
(lupercalia mapping) 		13-limit ratios
(dwynwen mapping)
0 0.00 1/1
1 77.88 21/20, 22/21, 25/24 26/25 27/26
2 155.76 12/11, 11/10, 35/32 13/12
3 233.64 8/7 15/13
4 311.52 6/5 13/11
5 389.41 5/4 26/21, 33/26
6 467.29 21/16 13/10
7 545.17 11/8, 15/11 18/13
8 623.05 10/7 56/39 13/9
9 700.93 3/2 52/35
10 778.81 11/7, 25/16 52/33
11 856.69 18/11 64/39 13/8
12 934.57 12/7 26/15
13 1012.46 9/5, 25/14
14 1090.34 15/8 13/7
15 1168.22 63/32, 96/49, 55/28, 108/55, 125/64 39/20
16 46.10 33/32, 36/35, 50/49 40/39 27/26 26/25
17 123.98 15/14, 27/25 14/13 13/12
18 201.86 9/8
19 279.74 33/28 13/11
20 357.62 27/22 16/13 39/32 26/21
21 435.51 9/7 13/10
22 513.39 27/20 35/26
23 591.27 45/32 39/28
24 669.15 72/49 52/35
25 747.03 54/35 20/13
26 824.91 45/28 21/13 13/8
27 902.79 27/16 22/13
28 980.67
29 1058.56 90/49 24/13 13/7
30 1136.44 27/14 25/13 39/20
31 14.32 81/80, 99/98

* in 11-limit POTE tuning

Spectrum of Valentine Tunings by Eigenmonzos

Eigenmonzo Minor Semitone
12/11 75.319
8/7 77.058
7/5 77.186
5/4 77.263
11/9 77.508
7/6 77.761 (7 limit minimax)
9/7 77.861 (9 limit minimax)
4/3 77.995 (5 limit minimax, Carlos Alpha tuning)
14/11 78.249 (11 limit minimax)
10/9 78.277
11/8 78.760
6/5 78.910
11/10 82.502
Retrieved from "https://en.xen.wiki/index.php?title=Valentine&oldid=51214"