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Superpyth: Difference between revisions

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→Tunings: update terminlogy
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=== Prime-optimized tunings ===
=== Prime-optimized tunings ===
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+style=white-space:nowrap | 2.3.7 Prime-Optimized Tunings
|+style=white-space:nowrap | 2.3.7 Subgroup Prime-Optimized Tunings
|-
|-
! Weight-skew\Order !! Euclidean
! Weight-skew\Order !! Euclidean
|-
|-
| Tenney || CTE<br>~3/2 = 709.5948¢
| Tenney || CTE: ~3/2 = 709.5948¢
|-
|-
| Tenney-Weil || CTWE<br>~3/2 = 709.3901¢
| Weil || CWE: ~3/2 = 709.3901¢
|-
|-
| Equilateral || CEE<br>~3/2 = 712.8606¢<br>[[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.49/3 (2/5-comma tuning)
| Equilateral || CEE: ~3/2 = 712.8606¢<br>[[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.49/3 (2/5-comma tuning)
|-
|-
| Equilateral-Weil || CEWE<br>~3/2 = 711.9997¢<br>Eigenmonzo basis (unchanged-interval basis): 2.823543/243 (7/19-comma tuning)
| Skewed-equilateral || CSEE: ~3/2 = 711.9997¢<br>Eigenmonzo basis (unchanged-interval basis): 2.823543/243 (7/19-comma tuning)
|-
|-
| Benedetti || CBE<br>~3/2 = 707.7286¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -49 0 18 }} (18/85-comma tuning)
| Benedetti/Wilson || CBE: ~3/2 = 707.7286¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -49 0 18 }} (18/85-comma tuning)
|-
|-
| Benedetti-Weil || CBWE<br>~3/2 = 707.9869¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -63 25 }} (25/113-comma tuning)
| Skewed-Benedetti/Wilson || CSBE: ~3/2 = 707.9869¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -63 25 }} (25/113-comma tuning)
|}
|}


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! Weight-skew\Order !! Euclidean
! Weight-skew\Order !! Euclidean
|-
|-
| Tenney || CTE<br>~3/2 = 709.5907¢
| Tenney || CTE: ~3/2 = 709.5907¢
|-
|-
| Tenney-Weil || CTWE<br>~3/2 = 710.1193¢
| Weil || CTWE: ~3/2 = 710.1193¢
|-
|-
| Equilateral || CEE<br>~3/2 = 709.7805¢<br>Eigenmonzo basis (unchanged-interval basis): 2.5859375/49
| Equilateral || CEE: ~3/2 = 709.7805¢<br>Eigenmonzo basis (unchanged-interval basis): 2.5859375/49
|-
|-
| Equilateral-Weil || CEWE<br>~3/2 = 710.2428¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 3 -37 18 }}
| Skewed-equilateral || CSEE: ~3/2 = 710.2428¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 3 -37 18 }}
|-
|-
| Benedetti || CBE<br>~3/2 = 709.4859¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -1225 -3969 450 }}
| Benedetti/Wilson || CBE: ~3/2 = 709.4859¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 -1225 -3969 450 }}
|-
|-
| Benedetti-Weil || CBWE<br>~3/2 = 710.0321¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 665 -15771 5160 }}
| Skewed-Benedetti/Wilson || CSBE: ~3/2 = 710.0321¢<br>Eigenmonzo basis (unchanged-interval basis): 2.{{monzo| 0 665 -15771 5160 }}
|}
|}


=== Tuning spectrum ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
! ET<br>Generator
! Edo<br>Generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! Generator<br>(¢)
! Generator<br>(¢)
! Comments
! Comments
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| 49/48
| 49/48
| 712.861
| 712.861
| 2/5 comma, 2.3.7 CEE tuning
| 2/5 comma, 2.3.7 subgroup CEE tuning
|-
|-
|  
|  
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