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 | '''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 == | ||
Latest revision as of 22:22, 10 August 2025
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
reduced
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.