245/242: Difference between revisions
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'''245/242''', the '''frostma''', is a [[small comma|small]] [[11-limit]] [[comma]] measuring about 21.3 [[cent]]s. It is the amount by which [[5/2]] exceeds a stack of two [[11/7]]'s. | |||
It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]). | It can be factored into ([[243/242]])([[245/243]]) and ([[896/891]])([[2835/2816]]). | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), where a stack of two | Tempering out this comma alone in the 11-limit results in the rank-4 '''frostmic temperament''' (→ [[Catalog of rank-4 temperaments #Frostmic (245/242)]]), where a stack of two 11/7's is equated with a 5/2 major tenth, enabling [[frostmic chords]]. It is also used in the construction of the [[No-threes subgroup temperaments #Frostburn|frostburn]] temperament. | ||
== Etymology == | == Etymology == | ||
Revision as of 13:57, 27 September 2025
| Interval information |
245/242, the frostma, is a small 11-limit comma measuring about 21.3 cents. It is the amount by which 5/2 exceeds a stack of two 11/7's.
It can be factored into (243/242)(245/243) and (896/891)(2835/2816).
Temperaments
Tempering out this comma alone in the 11-limit results in the rank-4 frostmic temperament (→ Catalog of rank-4 temperaments #Frostmic (245/242)), where a stack of two 11/7's is equated with a 5/2 major tenth, enabling frostmic chords. It is also used in the construction of the frostburn temperament.
Etymology
This comma was named after Frostburn in 2022. Before it got the name frostma, it was known as the cassacot, probably derived from cassandra and tetracot. However, cassandra was a misnomer for andromeda. The temperament's name was later corrected. Since then, cassacot has lost its root, thus justifying the new name.
245/242 should be the frostma because 243/242 is the rastma…