1637edo: Difference between revisions

Francium (talk | contribs)
Created page with "{{Infobox ET}} {{EDO intro|1637}} == Theory == 1637edo is consistent to the 7-odd-limit and the error of its harmonic 3 is quite large. Using the 2.9.5.7...."
 
m Theory: nullity-1 temps are best given by commas
Line 3: Line 3:


== Theory ==
== Theory ==
1637edo is [[consistent]] to the [[7-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is quite large. Using the 2.9.5.7.11.13.17.19.23 [[subgroup]], it tempers out [[4096/4095]], 67392/67375, [[14400/14399]], [[6175/6174]], [[11016/11011]], [[1863/1862]], [[3060/3059]] and 152361/152320. It [[support]]s [[kaguyic]].
1637edo is [[consistent]] to the [[7-odd-limit]], but the error of its [[harmonic]] [[3/1|3]] is quite large. Using the 2.9.5.7.11.13.17.19.23 [[subgroup]], it tempers out [[4096/4095]], 67392/67375, [[14400/14399]], [[6175/6174]], [[11016/11011]], [[1863/1862]], [[3060/3059]] and 152361/152320. In the 2.5.11.17.23.43 subgroup it tempers out [[10880/10879]].  


=== Odd harmonics ===
=== Odd harmonics ===
Line 9: Line 9:


=== Subsets and supersets ===
=== Subsets and supersets ===
1637edo is the 259th [[prime EDO]]. [[3274edo]], which doubles it, gives a good correction to the harmonic 3.
1637edo is the 259th [[prime edo]]. [[3274edo]], which doubles it, gives a good correction to the harmonic 3.


== Regular temperament properties ==
== Regular temperament properties ==