Syntonic–chromatic equivalence continuum: Difference between revisions
No edit summary |
m apotome is more unambiguous. chromatic semitone could mean 25/24 or an interval around that size. |
||
| Line 1: | Line 1: | ||
The '''syntonic-chromatic equivalence continuum''' is a continuum of temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the [[2187/2048| | The '''syntonic-chromatic equivalence continuum''' is a continuum of temperaments which equate a number of [[81/80|syntonic commas (81/80)]] with the [[2187/2048|apotome (2187/2048)]]. | ||
All temperaments in the continuum satisfy (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861… | All temperaments in the continuum satisfy (81/80)<sup>''n''</sup> ~ 2187/2048. Varying ''n'' results in different temperaments such as [[whitewood]], [[mavila]], [[dicot]], [[porcupine]], [[tetracot]], [[amity]], [[gravity]], and [[absurdity]]. It converges to [[meantone]] as ''n'' approaches infinity. The just value of ''n'' is 5.2861… | ||