Catakleismic: Difference between revisions

Interval chain: +some ratios; bold
Tunings: +prime-optimized tunings
Line 213: Line 213:


== Tunings ==
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.7.13-subgroup prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~6/5 = 316.9026{{c}}
| CSEE: ~6/5 = 316.8354{{c}}
| POEE: ~6/5 = 316.5718{{c}}
|-
! Tenney
| CTE: ~6/5 = 316.8865{{c}}
| CWE: ~6/5 = 316.7939{{c}}
| POTE: ~6/5 = 316.7410{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~6/5 = 316.8827{{c}}
| CSBE: ~6/5 = 316.7927{{c}}
| POBE: ~6/5 = 316.7673{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.5.7.11.13.19-subgroup prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Equilateral
| CEE: ~6/5 = 316.7941{{c}}
| CSEE: ~6/5 = 316.7860{{c}}
| POEE: ~6/5 = 316.8002{{c}}
|-
! Tenney
| CTE: ~6/5 = 316.8070{{c}}
| CWE: ~6/5 = 316.7816{{c}}
| POTE: ~6/5 = 316.7778{{c}}
|-
! Benedetti, <br>Wilson
| CBE: ~6/5 = 316.8299{{c}}
| CSBE: ~6/5 = 316.7884{{c}}
| POBE: ~6/5 = 316.7625{{c}}
|}
=== Tuning spectrum ===
=== Tuning spectrum ===
This tuning spectrum assumes undecimal catakleismic.  
This tuning spectrum assumes undecimal catakleismic.