1230edo: Difference between revisions

"Highly Kartvelian edo" isn't defined anywhere; I rearranged the sentence to make it more obvious to the reader that the term is used informally here.
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m changed EDO intro to ED intro
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1230}}
{{ED intro}}


== Theory ==
1230edo is [[consistent]] to the [[5-odd-limit]], but [[harmonic]] [[3/1|3]] is about halfway between its steps. As every other step of [[2460edo]], it is excellent in approximating harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], [[19/1|19]], and [[23/1|23]], making it suitable for a 2.9.5.7.11.19.23 [[subgroup]] interpretation, on which it is identical to 2460edo.  
A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].  


=== Odd harmonics ===
=== Odd harmonics ===
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=== Miscellaneous properties ===
=== Miscellaneous properties ===
1230edo could be called a "highly Kartvelian edo", because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].
1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].


[[Category:Equal divisions of the octave|####]]
=== Subsets and supersets ===
Since 1230 factors into {{factorization|1230}}, 1230edo has subset edos {{EDOs| 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, and 615 }}. A step of 1230edo is exactly 2 [[mina]]s (2\2460).