Very low accuracy temperaments: Difference between revisions

Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
New temperament name: antonian (5-limit 2c&3 and 7-limit 2cd&3d)
Tags: Mobile edit Mobile web edit
Line 26: Line 26:
* [[:File:Antitonic(8).mp3|''Antitonic(8)'']] (2024) – short composition by [[Wensik]] in POTE-tuned 5-limit antitonic using an 8-note ternary scale.
* [[:File:Antitonic(8).mp3|''Antitonic(8)'']] (2024) – short composition by [[Wensik]] in POTE-tuned 5-limit antitonic using an 8-note ternary scale.


=== 7-limit ===
=== Septimal antitonic ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 122: Line 122:
[[Badness]] (Sintel): 1.83
[[Badness]] (Sintel): 1.83


== Yo (2c & 3) ==
== Antonian ==
This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out.
This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out. It identifies [[3/2]] with [[5/3]], [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]].  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
Line 140: Line 140:


[[Badness]] (Sintel): 0.392
[[Badness]] (Sintel): 0.392
=== Septimal antonian ===
{{See also| Trienstonic clan }}
Subgroup: 2.3.5.7
Comma list: 10/9, 15/14
Mapping: {{mapping| 1 0 -1 -2 | 0 1 2 3 }}
Optimal tunings:
* WE: ~2 = 1193.691{{c}}, ~3/2 = 742.509{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 743.086{{c}}
{{Optimal ET sequence|legend=0| 2cd, 3d, 5c }}
Badness (Sintel): 0.606


=== Brutus ===
=== Brutus ===
Line 465: Line 482:
== Codex ==
== Codex ==
{{See also| Bug family }}
{{See also| Bug family }}
Codex was named by [[User:Jerdle|Jerdle]] as an abbreviation of "co-decimal", as it resembles [[decimal]] in many ways, but exchanges the roles of 5's and 7's. While decimal equates [[8/7]] and [[7/6]], as well as [[6/5]] and [[5/4]], this equates [[10/9]] and [[6/5]], as well as [[7/6]] and [[9/7]]. It is an extension of [[bug]] and [[54/49|mujannabic]] in the same way decimal is of [[semaphore]] and [[dicot]]. Its ploidacot is diploid beta-dicot.  
Codex was named by [[User:Jerdle|Jerdle]] as an abbreviation of "co-decimal", as it resembles [[decimal]] in many ways, but exchanges the roles of 5's and 7's. While decimal equates [[8/7]] and [[7/6]], as well as [[6/5]] and [[5/4]], this equates [[10/9]] and [[6/5]], as well as [[7/6]] and [[9/7]]. It is an extension of [[bug]] and [[54/49|mujannabic]] in the same way decimal is of [[semaphore]] and [[dicot]]. Its ploidacot is diploid dicot.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7