Father–3 equivalence continuum: Difference between revisions
m Oops |
No edit summary Tags: Mobile edit Mobile web edit |
||
| Line 23: | Line 23: | ||
|- | |- | ||
| 1 | | 1 | ||
| [[Very low accuracy temperaments # | | [[Very low accuracy temperaments #Antonian|Antonian]] | ||
| [[10/9]] | | [[10/9]] | ||
| {{Monzo| 1 -2 1 }} | | {{Monzo| 1 -2 1 }} | ||
| Line 53: | Line 53: | ||
|} | |} | ||
We may invert the continuum by setting ''m'' such that {{nowrap| 1/''m'' + 1/''n'' {{=}} 1 }}. This may be called the '' | We may invert the continuum by setting ''m'' such that {{nowrap| 1/''m'' + 1/''n'' {{=}} 1 }}. This may be called the ''antonian–3 equivalence continuum'', which is essentially the same thing. The just value of ''m'' is 1.61255… | ||
{| class="wikitable center-1" | {| class="wikitable center-1" | ||
| Line 86: | Line 86: | ||
|- | |- | ||
| ∞ | | ∞ | ||
| [[Very low accuracy temperaments# | | [[Very low accuracy temperaments #Antonian|Antonian]] | ||
| [[10/9]] | | [[10/9]] | ||
| {{Monzo| 1 -2 1 }} | | {{Monzo| 1 -2 1 }} | ||
| Line 102: | Line 102: | ||
| 8/3 = 2.{{overline|6}} || 8/5 = 1.6 || [[Würschmidt]] || {{monzo| 17 1 -8 }} | | 8/3 = 2.{{overline|6}} || 8/5 = 1.6 || [[Würschmidt]] || {{monzo| 17 1 -8 }} | ||
|- | |- | ||
| 19/7 = 2.{{overline|714285}} || 19/12 = 1.58{{overline|3}} || [[Isnes]] || {{monzo| 41 2 -19 }} | | 19/7 = 2.{{overline|714285}} || 19/12 = 1.58{{overline|3}} || [[#Isnes|Isnes]] || {{monzo| 41 2 -19 }} | ||
|- | |- | ||
| 11/4 = 2.75 || 11/7 = 1.{{overline|571428}} || [[Magus]] || {{monzo| 24 1 -11 }} | | 11/4 = 2.75 || 11/7 = 1.{{overline|571428}} || [[Magus]] || {{monzo| 24 1 -11 }} | ||
| Line 122: | Line 122: | ||
|- | |- | ||
| -1 | | -1 | ||
| [[Very low accuracy temperaments # | | [[Very low accuracy temperaments #Antonian|Antonian]] | ||
| [[10/9]] | | [[10/9]] | ||
| {{Monzo| 1 -2 1 }} | | {{Monzo| 1 -2 1 }} | ||
| Line 179: | Line 179: | ||
{{Optimal ET sequence|legend=1| 3, …, 33c, 36c, 69cc }} | {{Optimal ET sequence|legend=1| 3, …, 33c, 36c, 69cc }} | ||
[[Badness]]: 0 | [[Badness]] (Sintel): 16.0 | ||
== Isnes == | == Isnes == | ||
| Line 198: | Line 198: | ||
{{Optimal ET sequence|legend=1| 3, 71b, 74, 77, 157, 548ccc }} | {{Optimal ET sequence|legend=1| 3, 71b, 74, 77, 157, 548ccc }} | ||
[[Badness]]: | [[Badness]] (Sintel): 30.4 | ||
[[Category:3edo]] | [[Category:3edo]] | ||
[[Category:Equivalence continua]] | [[Category:Equivalence continua]] | ||