1240edo: Difference between revisions

Eliora (talk | contribs)
Created page with "{{Infobox ET}} {{EDO intro|1240}} 1240edo is consistent in the 7-odd-limit, though the error on harmonic 3 is quite large. It is a strong tuning for 5-limit sov..."
 
m Review
Line 2: Line 2:
{{EDO intro|1240}}
{{EDO intro|1240}}


1240edo is [[consistent]] in the 7-odd-limit, though the error on harmonic [[3/1|3]] is quite large. It is a strong tuning for 5-limit [[soviet ferris wheel]], ({{monzo|-171 20 60}}), and a good tuning for [[dodifo]], ({{monzo|-67 -9 35}}).
1240edo is [[consistent]] in the [[7-odd-limit]], though the error on [[harmonic]] [[3/1|3]] is quite large. It is a strong tuning for 5-limit [[soviet ferris wheel]], ({{monzo|-171 20 60}}), and a good tuning for [[dodifo]], ({{monzo|-67 -9 35}}).


Beyond the 7-odd-limit, there is a number of mappings to be considered. In the 2.7.23.27.29 subgroup, it is a flat system, and in 2.9.11.13.15, it is a sharp system. In the 2.5.11.13.29, it tunes the [[genojacobin]] temperament.
Beyond the 7-odd-limit, there is a number of mappings to be considered. In the 2.27.7.23.29 [[subgroup]], it is a flat system, and in 2.9.11.13.15, it is a sharp system. In the 2.5.11.13.29, it tunes the [[genojacobin]] temperament.


=== Odd harmonics ===
=== Odd harmonics ===
{{harmonics in equal|1240|columns=14}}
{{Harmonics in equal|1240|columns=14}}


=== Subsets and supersets ===
=== Subsets and supersets ===
Since 1240 factors as {{Factorization|1240}}, it has subset edos {{EDOs|1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620}}.
Since 1240 factors as {{Factorization|1240}}, 1240edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620 }}.