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User:FloraC/Sandbox: Difference between revisions

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→Tunings to be reviewed: no one seems to be interested in those obscure tunings so I'm focusing on how to best present this
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== Tunings to be reviewed ==
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+style=white-space:nowrap | 5-limit Prime-Optimized Tunings
|+style=white-space:nowrap | 5-limit Prime-Optimized Tunings
|-
|-
! Weight-skew\Order !! Chebyshevian !! Euclidean !! Manhattan
! Weight-skew\order !! Chebyshevian !! Euclidean !! Manhattan
|-
|-
| Tenney || CTC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CTE: ~3/2 = 697.2143¢ || CTOP: ~3/2 = 698.0197¢
| Tenney || CTC: ~3/2 = 696.5784¢<br>(1/4-comma) || CTE: ~3/2 = 697.2143¢ || CTOP: ~3/2 = 698.0197¢
|-
|-
| Tenney-Weil || CTWC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CWE: ~3/2 = 696.6512¢ || CWOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
| Weil || || CWE: ~3/2 = 696.6512¢ ||  
|-
|-
| Equilateral || CEC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CEE: ~3/2 = 696.8947¢<br>Eigenmonzo basis: 2.1875 (4/17-comma tuning) || CEOP: ~3/2 = 697.6537¢<br>Eigenmonzo basis: 2.15 (1/5-comma tuning)
| Equilateral || CEC: ~3/2 = 696.5784¢<br>(1/4-comma) || CEE: ~3/2 = 696.8947¢<br>(4/17-comma) || CEOP: ~3/2 = 697.6537¢<br>(1/5-comma)
|-
|-
| Skewed-equilateral || CSEC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CSEE: ~3/2 = 696.4534¢<br>Eigenmonzo basis: 2.48828125/3 (11/43-comma tuning) || CSEOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
| Skewed-equilateral || || CSEE: ~3/2 = 696.4534¢<br>(11/43-comma) ||  
|-
|-
| Benedetti || CBC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CBE: ~3/2 = 697.3738¢<br>Eigenmonzo basis: 2.{{monzo| 0 25 36 }} (36/169-comma tuning) || CBOP: ~3/2 = 698.1598¢<br>Eigenmonzo basis: 2.30375 (3/17-comma tuning)
| Benedetti/Wilson || CBC: ~3/2 = 696.5784¢<br>(1/4-comma) || CBE: ~3/2 = 697.3738¢<br>(36/169-comma) || CBOP: ~3/2 = 698.1598¢<br>(3/17-comma)
|-
|-
| Skewed-Benedetti/Wilson || CSBC: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning) || CSBE: ~3/2 = 696.7868¢<br>Eigenmonzo basis: 2.{{monzo| 0 5 31 }} (31/129-comma tuning) || CSBOP: ~3/2 = 696.5784¢<br>Eigenmonzo basis: 2.5 (1/4-comma tuning)
| Skewed-Benedetti/Wilson || || CSBE: ~3/2 = 696.7868¢<br>(31/129-comma) ||  
|}
|}


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|+style=white-space:nowrap | 7-limit Prime-Optimized Tunings
|+style=white-space:nowrap | 7-limit Prime-Optimized Tunings
|-
|-
! Weight-skew\Order !! Chebyshevian !! Euclidean !! Manhattan
! Weight-skew\order !! Chebyshevian !! Euclidean !! Manhattan
|-
|-
| Tenney || CTC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CTE: ~3/2 = 696.9521¢ || CTOP: ~3/2 = 696.6458¢
| Tenney || CTC: ~3/2 = 696.8826¢ || CTE: ~3/2 = 696.9521¢ || CTOP: ~3/2 = 696.6458¢
|-
|-
| Tenney-Weil || CWC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CWE: ~3/2 = 696.6562¢ || CWOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
| Tenney-Weil || || CWE: ~3/2 = 696.6562¢ ||  
|-
|-
| Equilateral || CEC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CEE: ~3/2 = 696.8843¢<br>Eigenmonzo basis: 2.{{monzo| 0 1 4 10 }} || CEOP: ~3/2 = 697.3437¢<br>Eigenmonzo basis: 2.21
| Equilateral || CEC: ~3/2 = 696.8826¢ || CEE: ~3/2 = 696.8843¢ || CEOP: ~3/2 = 697.3437¢
|-
|-
| Skewed-equilateral || CSEC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CSEE: ~3/2 = 696.7248¢<br>Eigenmonzo basis: 2.4117715/9 || CSEOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
| Skewed-equilateral || || CSEE: ~3/2 = 696.7248¢ ||  
|-
|-
| Benedetti || CBC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CBE: ~3/2 = 697.0147¢<br>Eigenmonzo basis: 2.{{monzo| 0 1225 1764 2250 }} || CBOP: ~3/2 = 697.8422¢<br>Eigenmonzo basis: 2.750141
| Benedetti/Wilson || CBC: ~3/2 = 696.8826¢ || CBE: ~3/2 = 697.0147¢ || CBOP: ~3/2 = 697.8422¢
|-
|-
| Skewed-Benedetti/Wilson || CSBC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CSBE: ~3/2 = 696.6306¢<br>Eigenmonzo basis: 2.{{monzo| 0 -3290 3171 7215 }} || CSBOP: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7
| Skewed-Benedetti/Wilson || || CSBE: ~3/2 = 696.6306¢ ||  
|}
|}


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