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User:FloraC/Sandbox: Difference between revisions

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Undo revision 176314 by FloraC (talk). Test complete
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{{Flat}}{{natural}}{{sharp}}
♭♮♯
<span class="bravura">&#xE260;</span>
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== Template: Temperament data ==
{{User:FloraC/Temperament data
{{User:FloraC/Temperament data
| Subgroup = 2.3.5.7
| Subgroup = 2.3.5.7
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| Badness = 0.0137
| Badness = 0.0137
}}
}}
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== 5-limit rank-2 temperaments by TE simple badness ==
== 5-limit rank-2 temperaments by TE simple badness ==
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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
! rowspan="2" |  
|-
! rowspan="2" | 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¢
! colspan="2" | Euclidean
|-
! rowspan="2" | Chebyshevian
| 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)
|-
|-
| 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)
! Unskewed
! Skewed
|-
|-
| 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)
! Equilateral
| CEOP: ~3/2 = 697.654¢<br>(1/5-comma)
| CEE: ~3/2 = 696.895¢<br>(4/17-comma)
| CSEE: ~3/2 = 696.453¢<br>(11/43-comma)
| CEC: ~3/2 = 696.578¢<br>(1/4-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)
! Tenney
| CTOP: ~3/2 = 698.020¢
| CTE: ~3/2 = 697.214¢
| CWE: ~3/2 = 696.651¢
| CTC: ~3/2 = 696.578¢<br>(1/4-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)
! Benedetti, <br>Wilson
| CBOP: ~3/2 = 698.160¢<br>(3/17-comma)
| CBE: ~3/2 = 697.374¢<br>(36/169-comma)
| CSBE: ~3/2 = 696.787¢<br>(31/129-comma)
| CBC: ~3/2 = 696.578¢<br>(1/4-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
! rowspan="2" |  
|-
! rowspan="2" | Manhattan
| Tenney || CTC: ~3/2 = 696.8826¢<br>Eigenmonzo basis: 2.7 || CTE: ~3/2 = 696.9521¢ || CTOP: ~3/2 = 696.6458¢
! colspan="2" | Euclidean
|-
! rowspan="2" | Chebyshevian
| 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
|-
|-
| 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
! Unskewed
! Skewed
|-
|-
| 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
! Equilateral
| CEOP: ~3/2 = 697.344¢
| CEE: ~3/2 = 696.884¢
| CSEE: ~3/2 = 696.725¢
| CEC: ~3/2 = 696.883¢
|-
|-
| 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
! Tenney
| CTOP: ~3/2 = 696.646¢
| CTE: ~3/2 = 696.952¢
| CWE: ~3/2 = 696.656¢
| CTC: ~3/2 = 696.883¢
|-
|-
| 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
! Benedetti, <br>Wilson
| CBOP: ~3/2 = 697.842¢
| CBE: ~3/2 = 697.015¢
| CSBE: ~3/2 = 696.631¢
| CBC: ~3/2 = 696.883¢
|}
|}


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