1089/1024: Difference between revisions

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{{Infobox Interval
| Icon =
| Ratio = 1089/1024
| Monzo = -10 2 0 0 2
| Cents = 106.54589
| Name = Alpharabian chromatic semitone
| Color name =
| FJS name = P1<sup>121</sup>
| Sound = Ji-1089-1024-csound-foscil-220hz.mp3
}}
'''1089/1024''', the '''Alpharabian chromatic semitone''', 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''', 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.


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

Revision as of 14:34, 17 October 2020

Interval information
Ratio 1089/1024
Factorization 2-10 × 32 × 112
Monzo [-10 2 0 0 2
Size in cents 106.5459¢
Name Alpharabian chromatic semitone
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, is the interval that results from stacking two 33/32 quartertones together, and has a value of roughly 106.54589 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.