1817edo: Difference between revisions
+subsets and supersets |
No edit summary |
||
| Line 2: | Line 2: | ||
{{EDO intro|1817}} | {{EDO intro|1817}} | ||
1817edo distinctly [[consistent]] in the [[17-odd-limit]], and a fairly strong 17-limit system. | 1817edo distinctly [[consistent]] in the [[17-odd-limit]], and a fairly strong 17-limit system. Past that, adding the mapping for [[29/16|29]] is worth considering. | ||
In the 5-limit, it is a strong tuning for [[tricot]]. It also tempers out are {{monzo|128 13 -64}}, the 323 & 1171 temperament, which divides the [[3/1|third harmonic]] into 64 equal parts, as well as {{monzo|-89 -42 67}} and {{monzo|-50 -71 70}}. In the 7-limit, it tempers out [[4375/4374]] (the ragisma). In the 11-limit it tempers out 117649/117612, 2097152/2096325, and tunes rank-3 temperaments [[heimdall]] and [[brage]]. In the 13-limit, it tempers out [[4096/4095]], [[6656/6655]], and in the 17-limit, [[12376/12375]] and [[14400/14399]]. | |||
In the 17-limit and the 2.3.5.7.11.13.17.37 subgroup (add-37 17-limit), the patent val tunes the [[gold]] temperament which divides the octave into 79 parts, though it is worth noting that the error on the 37th harmonic is quite large. | |||
=== Prime harmonics === | === Prime harmonics === | ||