1230edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1230}} ==Theory== 1230edo is what is known as "highly Kartvelian EDO", where it supports the largest number of scales dividing its patent val 4/3 an..."
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1230}}
{{EDO intro|1230}}
==Theory==
1230edo is what is known as "highly Kartvelian EDO", where 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]].


The best subgroup for 1230edo is 2.9.5.7.11.15.19, on which it can be seen as every other step of [[2460edo]].
== Theory ==
===Harmonics===
A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].  
{{harmonics in equal|1230}}
 
=== Odd harmonics ===
{{Harmonics in equal|1230}}
 
=== Miscellaneous properties ===
1230edo is what is known as "highly Kartvelian edo", where 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|####]]
[[Category:Equal divisions of the octave|####]]

Revision as of 04:43, 26 October 2022

← 1229edo 1230edo 1231edo →
Prime factorization 2 × 3 × 5 × 41
Step size 0.97561 ¢ 
Fifth 720\1230 (702.439 ¢) (→ 24\41)
Semitones (A1:m2) 120:90 (117.1 ¢ : 87.8 ¢)
Dual sharp fifth 720\1230 (702.439 ¢) (→ 24\41)
Dual flat fifth 719\1230 (701.463 ¢)
Dual major 2nd 209\1230 (203.902 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

Theory

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

Approximation of odd harmonics in 1230edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.484 +0.028 -0.045 -0.008 -0.098 +0.448 -0.464 +0.410 +0.048 +0.439 +0.018
Relative (%) +49.6 +2.8 -4.7 -0.8 -10.1 +45.9 -47.5 +42.1 +4.9 +45.0 +1.9
Steps
(reduced)
1950
(720)
2856
(396)
3453
(993)
3899
(209)
4255
(565)
4552
(862)
4805
(1115)
5028
(108)
5225
(305)
5403
(483)
5564
(644)

Miscellaneous properties

1230edo is what is known as "highly Kartvelian edo", where 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.