1089/1024: Difference between revisions

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'''1089/1024''', the '''Alpharabian chromatic semitone''', or '''parapotome''', is the interval that results from stacking two [[33/32]] quartertones together, and has a value of roughly 106.54589 [[cent|cents]].  The term "parapotome" is a derivation from the word "apotome" by means of the prefix "para-"- the derivation signifying this interval's functional parallels to the more well-known [[2187/2048]].  Because of its complexity and its relative obscurity, it is often equated to other nearby intervals through the tempering out of commas like [[243/242]] and or [[1089/1088]].  When this interval is added together with [[128/121]], the result is a [[9/8]] whole tone.
'''1089/1024''', the '''Alpharabian chromatic semitone''', or '''parapotome''', is the interval that results from stacking two [[33/32]] quartertones together, and has a value of roughly 106.54589 [[cent|cents]].  The term "parapotome" is a derivation from the word "apotome" by means of the prefix "para-", and was coined to indicate this interval's functional parallels to the more well-known [[2187/2048]].  Because of its complexity and its relative obscurity, it is often equated to other nearby intervals through the tempering out of commas like [[243/242]] and or [[1089/1088]].  When this interval is added together with [[128/121]], the result is a [[9/8]] whole tone.


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]

Revision as of 18:52, 17 December 2020

Interval information
Ratio 1089/1024
Factorization 2-10 × 32 × 112
Monzo [-10 2 0 0 2
Size in cents 106.5459¢
Names Alpharabian chromatic semitone,
parapotome
FJS name [math]\displaystyle{ \text{P1}^{121} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 20.0888
Weil height (log2 max(n, d)) 20.1776
Wilson height (sopfr(nd)) 48

[sound info]
Open this interval in xen-calc

1089/1024, the Alpharabian chromatic semitone, or parapotome, is the interval that results from stacking two 33/32 quartertones together, and has a value of roughly 106.54589 cents. The term "parapotome" is a derivation from the word "apotome" by means of the prefix "para-", and was coined to indicate this interval's functional parallels to the more well-known 2187/2048. Because of its complexity and its relative obscurity, it is often equated to other nearby intervals through the tempering out of commas like 243/242 and or 1089/1088. When this interval is added together with 128/121, the result is a 9/8 whole tone.