Diaschismic–gothmic equivalence continuum: Difference between revisions
Fill out all the half-integer entries since some of them have been added |
There are still many temps of non-half-integer fractional values of "n" and "m" |
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| Line 112: | Line 112: | ||
| [[2048/2025]] | | [[2048/2025]] | ||
| {{monzo| 11 -4 -2 }} | | {{monzo| 11 -4 -2 }} | ||
|} | |||
We may invert the continuum by setting ''m'' such that 1/''n'' + 1/''m'' = 1. The just value of ''m'' is 1.41414…, and temperaments near this tend to be the most accurate ones. The [[immunity comma]] is both larger and more complex than the diaschisma. As such, this continuum does not contain as many useful temperaments. | |||
{| class="wikitable" | |||
|+ Temperaments with non-half-integer fractional ''n'' and ''m'' | |||
|- | |||
! ''n'' !! ''m'' !! Temperament !! Comma | |||
|- | |||
| 13/4 = 3.25 || 13/9 = 1.{{overline|4}} || [[Quatracot]] || {{monzo| -33 -16 26 }} | |||
|- | |||
| 10/3 = 3.{{overline|3}} || 10/7 = 1.{{overline|428571}} || [[Gammic]] || {{monzo| -29 -11 20 }} | |||
|- | |||
| 17/5 = 3.4 || 17/12 = 1.41{{overline|6}} || [[Chlorine]] || {{monzo| -52 -17 34 }} | |||
|- | |||
| 11/3 = 3.{{overline|6}} || 11/8 = 1.375 || [[Majvam]] || {{monzo| 40 7 -22 }} | |||
|} | |} | ||