2.5.7 subgroup: Difference between revisions
Created page with "The '''2.5.7 subgroup''', or the '''no-threes 7-limit''' ('''yaza nowa''' in color notation) is a just intonation subgroup consisting of rational intervals where 2..." |
|||
| Line 105: | Line 105: | ||
==== Didacus ==== | ==== Didacus ==== | ||
'''Didacus''' temperament, the 2.5.7 restriction of [[hemimean]], tempers out the comma [[3136/3125]] in the 2.5.7 subgroup, which splits the major third ([[5/4]]) into two intervals of [[28/25]]. It is one of the most accurate temperaments of its simplicity. | '''Didacus''' temperament, the 2.5.7 restriction of [[hemimean]], tempers out the comma [[3136/3125]] in the 2.5.7 subgroup, which splits the major third ([[5/4]]) into two intervals of [[28/25]]. It is one of the most accurate temperaments of its simplicity. While augmented and jubilic merge the middle interval of the triplets surrounding 1\6 and 5\6 with one of the two nearby intervals, didacus makes it an exact mean between the two. | ||
The [[DKW theory|DKW]] (2.5.7) optimum tuning states ~5/4 is tuned to 388.122c, and therefore ~28/25 to 194.061c; a chart of mistunings of simple intervals is below. | The [[DKW theory|DKW]] (2.5.7) optimum tuning states ~5/4 is tuned to 388.122c, and therefore ~28/25 to 194.061c; a chart of mistunings of simple intervals is below. | ||