Porcupine: Difference between revisions

Lériendil (talk | contribs)
m made the language a tiny bit less loaded
Tunings: -tridecimal porcupine stuff; formatting
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== Tunings ==
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 5-limit Prime-Optimized Tunings
|+ style="font-size: 105%; white-space: nowrap;" | 5-limit Prime-optimized tunings
|-
|-
! Weight-skew\Order !! Euclidean
! rowspan="2" |
! colspan="2" | Euclidean
|-
|-
| Tenney || CTE: ~10/9 = 164.1659¢
! Constrained !! Constrained & skewed
|-
|-
| Weil || CWE: ~10/9 = 164.0621¢
! Equilateral
| CEE: ~10/9 = 163.6049{{c}}
| CSEE: ~10/9 = 163.2835{{c}}
|-
|-
| Equilateral || CEE: ~10/9 = 163.6049¢
! Tenney
| CTE: ~10/9 = 164.1659{{c}}
| CWE: ~10/9 = 164.0621{{c}}
|-
|-
| Skewed-equilateral || CSEE: ~10/9 = 163.2835¢
! Benedetti, <br>Wilson
|-
| CBE: ~10/9 = 164.3761{{c}}
| Benedetti/Wilson || CBE: ~10/9 = 164.3761¢
| CSBE: ~10/9 = 164.3761{{c}}
|-
| Skewed-Benedetti/Wilson || CSBE: ~10/9 = 164.3761¢
|}
|}


{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.11 Subgroup Prime-Optimized Tunings
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.11-subgroup prime-optimized tunings
|-
! Weight-skew\Order !! Euclidean
|-
|-
| Tenney || CTE: ~11/10 = 163.8867¢
! rowspan="2" |  
! colspan="2" | Euclidean
|-
|-
| Weil || CWE: ~11/10 = 163.9951¢
! Constrained !! Constrained & skewed
|-
|-
| Equilateral || CEE: ~11/10 = 163.1459¢
! Equilateral
| CEE: ~11/10 = 163.1459{{c}}
| CSEE: ~11/10 = 162.8445{{c}}
|-
|-
| Skewed-equilateral || CSEE: ~11/10 = 162.8445¢
! Tenney
| CTE: ~11/10 = 163.8867{{c}}
| CWE: ~11/10 = 163.9951{{c}}
|-
|-
| Benedetti/Wilson || CBE: ~11/10 = 164.2393¢
! Benedetti, <br>Wilson
|-
| CBE: ~11/10 = 164.2393{{c}}
| Skewed-Benedetti/Wilson || CSBE: ~11/10 = 164.4623¢
| CSBE: ~11/10 = 164.4623{{c}}
|}
|}


=== Tuning spectra ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|+ style="font-size: 105%;" | Tuning spectrum of 13-limit porcupine
|-
|-
! Edo<br />generator
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br />(Unchanged-Interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
! Generator (¢)
! Generator (¢)
! Comments
! Comments
|-
|
| 13/12
| 138.573
|
|-
|
| 13/11
| 144.605
|
|-
|-
| 1\8
| 1\8
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| 150.637
| 150.637
| Lower bound of 11-odd-limit diamond tradeoff
| Lower bound of 11-odd-limit diamond tradeoff
|-
|
| 13/10
| 151.405
|
|-
|-
|  
|  
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| 157.821
| 157.821
| Lower bound of 5-, 7-, and 9-odd-limit diamond tradeoff
| Lower bound of 5-, 7-, and 9-odd-limit diamond tradeoff
|-
|
| 15/13
| 158.710
|
|-
|
| 18/13
| 159.154
|
|-
|-
| 2\15
| 2\15
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| 11/8
| 11/8
| 162.171
| 162.171
| 13- and 15-odd-limit minimax
|  
|-
|-
| 8\59
| 8\59
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| 166.015
| 166.015
| Upper bound of 5- and 7-odd-limit diamond tradeoff
| Upper bound of 5- and 7-odd-limit diamond tradeoff
|-
|
| 14/13
| 166.037
|
|-
|-
| 1\7
| 1\7
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| 11/9
| 11/9
| 173.704
| 173.704
|
|-
|
| 16/13
| 179.736
|  
|  
|-
|-