Valentine: Difference between revisions
Jump to navigation
Jump to search
m Cleanup |
m Cleanup |
||
| Line 240: | Line 240: | ||
== Spectrum of Valentine Tunings by Eigenmonzos == | == Spectrum of Valentine Tunings by Eigenmonzos == | ||
{| class="wikitable" | {| class="wikitable center-all left-3" | ||
|- | |- | ||
! Eigenmonzo | ! Eigenmonzo | ||
! Minor Semitone | ! Minor Semitone | ||
! Comment | |||
|- | |- | ||
| 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 | | 77.761 | ||
| 7 limit minimax | |||
|- | |- | ||
| 9/7 | | 9/7 | ||
| 77.861 | | 77.861 | ||
| 9 limit minimax | |||
|- | |- | ||
| 4/3 | | 4/3 | ||
| 77.995 | | 77.995 | ||
| 5 limit minimax, Carlos Alpha tuning | |||
|- | |- | ||
| 14/11 | | 14/11 | ||
| 78.249 | | 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:Temperament]] | [[Category:Temperament]] | ||
[[Category:Valentine| ]] <!-- main article --> | |||
[[Category:Starling]] | [[Category:Starling]] | ||
[[Category:Gamelismic]] | [[Category:Gamelismic]] | ||
[[Category:Todo:add definition]] | [[Category:Todo:add definition]] | ||
Revision as of 08:12, 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 | Comment |
|---|---|---|
| 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 |