Mint temperaments: Difference between revisions
m Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections" Tags: Mobile edit Mobile web edit |
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* ''[[Ripple]]'' (+2560/2401) → [[Ripple family #Septimal ripple|Ripple family]] | * ''[[Ripple]]'' (+2560/2401) → [[Ripple family #Septimal ripple|Ripple family]] | ||
* ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]] | * ''[[Whitewood]]'' (+2187/2048) → [[Whitewood family #Septimal whitewood|Whitewood family]] | ||
== Penta == | |||
: ''For the 5-limit version, see [[Syntonic–diatonic equivalence continuum #University]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 28/25, 36/35 | |||
{{Mapping|legend=1| 1 1 2 2 | 0 3 2 4 }} | |||
: mapping generators: ~2, ~7/6 | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~2 = 1200.000, ~7/6 = 231.845 | |||
: [[error map]]: {{val| 0.000 -6.421 +77.376 -41.447 }} | |||
* [[POTE]]: ~2 = 1200.000, ~7/6 = 239.977 | |||
: error map: {{val| 0.000 +17.976 +93.640 -8.918 }} | |||
{{Optimal ET sequence|legend=1| 1bd, …, 4bcd, 5 }} | |||
[[Badness]] (Sintel): 1.1864 | |||
== Progression == | == Progression == | ||
| Line 39: | Line 60: | ||
{{Optimal ET sequence|legend=1| 8d, 9, 17c }} | {{Optimal ET sequence|legend=1| 8d, 9, 17c }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 1.2237 | ||
=== 11-limit === | === 11-limit === | ||
| Line 54: | Line 75: | ||
{{Optimal ET sequence|legend=0| 8d, 9, 17c }} | {{Optimal ET sequence|legend=0| 8d, 9, 17c }} | ||
Badness ( | Badness (Sintel): 0.8612 | ||
=== 13-limit === | === 13-limit === | ||
| Line 69: | Line 90: | ||
{{Optimal ET sequence|legend=0| 8d, 9, 17c }} | {{Optimal ET sequence|legend=0| 8d, 9, 17c }} | ||
Badness ( | Badness (Sintel): 0.7503 | ||
=== 17-limit === | === 17-limit === | ||
| Line 84: | Line 105: | ||
{{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | {{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | ||
Badness ( | Badness (Sintel): 0.8529 | ||
=== 19-limit === | === 19-limit === | ||
| Line 99: | Line 120: | ||
{{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | {{Optimal ET sequence|legend=0| 8d, 9, 17cg }} | ||
Badness ( | Badness (Sintel): 1.0244 | ||
== Subklei == | == Subklei == | ||
| Line 120: | Line 141: | ||
{{Optimal ET sequence|legend=1| 4, 13cd, 17c, 21, 38c }} | {{Optimal ET sequence|legend=1| 4, 13cd, 17c, 21, 38c }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 1.5463 | ||
=== 11-limit === | === 11-limit === | ||
| Line 135: | Line 156: | ||
{{Optimal ET sequence|legend=0| 4e, …, 13cdee, 17c }} | {{Optimal ET sequence|legend=0| 4e, …, 13cdee, 17c }} | ||
Badness ( | Badness (Sintel): 1.4761 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 150: | Line 171: | ||
{{Optimal ET sequence|legend=0| 4ef, …, 13cdeef, 17c }} | {{Optimal ET sequence|legend=0| 4ef, …, 13cdeef, 17c }} | ||
Badness ( | Badness (Sintel): 1.3357 | ||
=== Subkla === | === Subkla === | ||
| Line 165: | Line 186: | ||
{{Optimal ET sequence|legend=0| 4, 17c, 21, 38ce }} | {{Optimal ET sequence|legend=0| 4, 17c, 21, 38ce }} | ||
Badness ( | Badness (Sintel): 1.5620 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
| Line 180: | Line 201: | ||
{{Optimal ET sequence|legend=0| 4, 17c, 38ce }} | {{Optimal ET sequence|legend=0| 4, 17c, 38ce }} | ||
Badness ( | Badness (Sintel): 1.5166 | ||
== Slurpee == | == Slurpee == | ||
| Line 201: | Line 222: | ||
{{Optimal ET sequence|legend=1| 16, 17c, 33 }} | {{Optimal ET sequence|legend=1| 16, 17c, 33 }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 2.9070 | ||
=== 11-limit === | === 11-limit === | ||
| Line 216: | Line 237: | ||
{{Optimal ET sequence|legend=0| 16, 17c, 33 }} | {{Optimal ET sequence|legend=0| 16, 17c, 33 }} | ||
Badness ( | Badness (Sintel): 1.6700 | ||
=== 13-limit === | === 13-limit === | ||
| Line 231: | Line 252: | ||
{{Optimal ET sequence|legend=0| 16, 17c, 33 }} | {{Optimal ET sequence|legend=0| 16, 17c, 33 }} | ||
Badness ( | Badness (Sintel): 1.3678 | ||
== Shallowtone == | == Shallowtone == | ||
| Line 273: | Line 273: | ||
{{Optimal ET sequence|legend=1| 7, 30b, 37b }} | {{Optimal ET sequence|legend=1| 7, 30b, 37b }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 7.7857 | ||
=== 11-limit === | === 11-limit === | ||
| Line 288: | Line 288: | ||
{{Optimal ET sequence|legend=0| 7, 30b, 37b }} | {{Optimal ET sequence|legend=0| 7, 30b, 37b }} | ||
Badness ( | Badness (Sintel): 4.2942 | ||
=== 13-limit === | === 13-limit === | ||
| Line 303: | Line 303: | ||
{{Optimal ET sequence|legend=0| 7, 30b, 37b }} | {{Optimal ET sequence|legend=0| 7, 30b, 37b }} | ||
Badness ( | Badness (Sintel): 3.1927 | ||
== Notes == | == Notes == | ||