Compton: Difference between revisions

Rework
+tunings
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<nowiki/>* In 7-limit CWE tuning, octave reduced
<nowiki/>* In 7-limit CWE tuning, octave reduced


== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 5-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~5/4 = 386.3137{{c}}
| CSEE: ~5/4 = 385.6620{{c}}
| POEE: ~5/4 = 384.2658{{c}}
|-
! Tenney
| CTE: ~5/4 = 386.3137{{c}}
| CWE: ~5/4 = 385.3590{{c}}
| POTE: ~5/4 = 384.8824{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~5/4 = 386.3137{{c}}
| CSBE: ~5/4 = 385.2276{{c}}
| POBE: ~5/4 = 384.8036{{c}}
|}


{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~5/4 = 384.7931{{c}}
| CSEE: ~5/4 = 384.240{{c}}
| POEE: ~5/4 = 383.0895{{c}}
|-
! Tenney
| CTE: ~5/4 = 384.9217{{c}}
| CWE: ~5/4 = 384.1429{{c}}
| POTE: ~5/4 = 383.7752{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~5/4 = 385.0380{{c}}
| CSBE: ~5/4 = 384.0879{{c}}
| POBE: ~5/4 = 383.8295{{c}}
|}
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]*
! Generator (¢)
! Comments
|-
| 15\48
|
| 375.000
| 48d val, lower bound of 7- and 9-odd-limit diamond monotone
|-
| 19\60
|
| 380.000
|
|-
|
| 15/14
| 380.557
|
|-
|
| 9/5
| 382.404
|
|-
|
| 9/7
| 382.458
|
|-
|
| 5/4
| 382.512
|
|-
| 23\72
|
| 383.333
|
|-
|
| 7/6
| 383.435
|
|-
|
| 36/35
| 383.743
|
|-
|
| 49/48
| 383.924
|
|-
|
| 5/3
| 384.359
|
|-
|
| 7/4
| 384.413
|
|-
|
| 21/20
| 384.467
|
|-
|
| 25/24
| 385.336
|
|-
|
| 21/16
| 385.390
|
|-
| 27\84
|
| 385.714
|
|-
|
| 5/4
| 386.314
|
|-
| 31\96
|
| 387.500
|
|-
|
| 15/8
| 388.269
|
|-
| 4\12
|
| 400.000
| Upper bound of 7- and 9-odd-limit diamond monotone
|}
<nowiki/>* Besides the octave
[[Category:Compton| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Compton family]]
[[Category:Compton family]]
[[Category:Marvel temperaments]]
[[Category:Marvel temperaments]]
[[Category:Landscape microtemperaments]]
[[Category:Landscape microtemperaments]]