Xenharmonic Wiki

Breedsmic–syntonic equivalence continuum: Difference between revisions

← Older edit
VisualWikitext
m Cleanup. Mark as mathematical interest
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Tags: Mobile edit Mobile web edit
 
Line 108: Line 108:
Comma list: {{monzo| 146 34 59 -120 }}
Comma list: {{monzo| 146 34 59 -120 }}


POTE generators: 1901.9549, -775.6679
POTE generators: ~3 = 1901.9549, 775.6679


Mapping: [{{val| 1 0 26 14 }}, {{val| 0 1 34 17 }}, {{val| 0 0 120 59 }}]
Mapping: [{{val| 1 0 26 14 }}, {{val| 0 1 34 17 }}, {{val| 0 0 -120 -59 }}]


{{Optimal ET sequence|legend=1| 1677, 5014, 6691, 41854, 43531, 46868, 48545, 50222, 55236, 97090 }}
{{Optimal ET sequence|legend=1| 1677, 5014, 6691, 41854, 43531, 46868, 48545, 50222, 55236, 97090 }}


[http://x31eq.com/cgi-bin/rt.cgi?ets=1677_6691_41854&limit=7 The temperament finder - 7-limit 1677 & 6691 & 41854]
Badness (Sintel): 475.7


== 34p & 31 & 14c ==
== 34 & 31 & 14c ==
Comma list: {{monzo| -13 7 -4 4 }} = 5250987/5120000
Comma list: {{monzo| -13 7 -4 4 }} = 5250987/5120000


POTE generators: -425.3382, ~5 = 2785.5671
POTE generators: ~80/63 = 425.3382, ~5 = 2785.5671


Mapping: [{{val| 1 3 0 -2 }}, {{val| 0 4 0 -7 }}, {{val| 0 0 1 1 }}]
Mapping: [{{val| 1 3 0 -2 }}, {{val| 0 -4 0 7 }}, {{val| 0 0 1 1 }}]


{{Optimal ET sequence|legend=1| 3, 14c, 17c, 17d, 20c, 31, 34, 45, 62, 65 }}
{{Optimal ET sequence|legend=1| 3, 14c, 17c, 17d, 20c, 31, 34, 45, 62, 65 }}


[http://x31eq.com/cgi-bin/rt.cgi?ets=34p_31_14c&limit=7 The temperament finder - 7-limit 34p & 31 & 14c]
Badness (Sintel): 19.984


[[Category:Squares]]
[[Category:Squares]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]
Retrieved from "https://en.xen.wiki/w/Breedsmic–syntonic_equivalence_continuum"