2016edo: Difference between revisions

Eliora (talk | contribs)
Eliora (talk | contribs)
Fractional octave temperaments: 2016edo is inconsistent, two 7/1s are off from one 49/1 by one step, so removed this
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=== Fractional octave temperaments ===
=== Fractional octave temperaments ===
The patent val 7-limit in 2016edo gives rise to the to rank two temperaments of [[chromium]] with period 24 and the [[akjayland]], period 21. The 2016d val gives rise to 171 & 306, period 9 and 270 & 936bd, period 18.
The patent val 7-limit in 2016edo gives rise to the to rank two temperaments of [[chromium]] with period 24 and the [[akjayland]], period 21. The 2016d val gives rise to 171 & 306, period 9 and 270 & 936bd, period 18.
If we assume that 2016edo is a dual-seventh system, where 5659th and 5660th steps represent 7- and 7+, two distinct dimensions amounting to 49/1, then this allows for mixing of these two temperaments on the 2.3.5.49 subgroup. 236 & 600 is the temperament which best represents that, with the associated comma basis 2.3.5.49 {2460375/2458624, {{monzo|-73 17 15  2}}}


In the 2016dijk val it supports the [[32nd-octave temperaments|dike temperament]], defined as 1600 & 2016dijk in the 37-limit with period 32.
In the 2016dijk val it supports the [[32nd-octave temperaments|dike temperament]], defined as 1600 & 2016dijk in the 37-limit with period 32.