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]].  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 prefix "para-" and the word "apotome" that signifies this interval's functional parallels to the [[2187/2048|apotome]].  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 18:49, 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 norm (log2 nd) 20.0888
Weil norm (log2 max(n, d)) 20.1776
Wilson norm (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 prefix "para-" and the word "apotome" that signifies this interval's functional parallels to the apotome. 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.