226/225: Difference between revisions

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Created page with "{{Niche}} {{Infobox interval | Ratio = 226/225 | Name = reversed marvel comma | Color name = 113ogg2 | Comma = yes }} '''226/225''' is a comma of the 2.3.5.113 subgroup. It is the amount by which the octave-reduced 113th harmonic 113/64 exceeds the classic augmented sixth of 225/128, and differs from the marvel comma (225/224) by 50625/50624 (S225, ~0.0342¢). It is the parent comma for the No-sevens subgroup temperaments #Higher-limit subgroup temperam..."
 
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'''226/225''' is a comma of the 2.3.5.113 subgroup. It is the amount by which the octave-reduced 113th harmonic [[113/64]] exceeds the classic augmented sixth of [[225/128]], and differs from the marvel comma ([[225/224]]) by [[50625/50624]] (S225, ~0.0342¢). It is the parent comma for the [[No-sevens subgroup temperaments #Higher-limit subgroup temperaments|reversed marvel temperament]].  
'''226/225''' is a 2.3.5.113 [[subgroup]] comma measuring 7.68 [[cent]]s. It is the amount by which the octave-reduced 113th harmonic ([[113/64]]) exceeds the classic augmented sixth of [[225/128]], and differs from the marvel comma ([[225/224]]) by [[50625/50624]] (S225, ~0.0342¢). It is the parent comma for the [[No-sevens subgroup temperaments #Higher-limit subgroup temperaments|reversed marvel temperaments]].  


== Temperaments ==
== Temperaments ==

Revision as of 14:00, 9 June 2025

Interval information
Ratio 226/225
Subgroup monzo 2.3.5.113 [1 -2 -2 1
Size in cents 7.677325¢
Name reversed marvel comma
Color name 113ogg2
FJS name [math]\displaystyle{ \text{d2}^{113}_{5,5} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 15.634
Weil height (log2 max(n, d)) 15.6404
Wilson height (sopfr(nd)) 131
Comma size small
Open this interval in xen-calc

226/225 is a 2.3.5.113 subgroup comma measuring 7.68 cents. It is the amount by which the octave-reduced 113th harmonic (113/64) exceeds the classic augmented sixth of 225/128, and differs from the marvel comma (225/224) by 50625/50624 (S225, ~0.0342¢). It is the parent comma for the reversed marvel temperaments.

Temperaments

In the 2.3.5.113 subgroup, tempering out this comma results in the reversed marvel temperament. By substituting the 7th harmonic out for the 113th harmonic in the marvel temperament, it results in sharper 3rd and 5th harmonics, rather than flatter.

See also