Rarity comma: Difference between revisions

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Created page with "{{Infobox Interval |Monzo = -57 17 13 |Name = rarity comma |Comma = yes }} '''Rarity comma''' is a 5-limit interval, which when tempered out produces the rarity temperament...."
 
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'''Rarity comma''' is a 5-limit interval, which when tempered out produces the rarity temperament.  
'''Rarity comma''' is a 5-limit interval, which when tempered out produces the [[rarity]] temperament.  
== Temperaments ==
== Temperaments ==
Tempering it out produces rarity temperament in the 5-limit. On it's own it is quite a large interval, being the size of a neutral second, however each individual generator step of the temperament is flattened by a small amount which is evenly spread out in the scale.
Tempering it out produces rarity temperament in the 5-limit. On it's own it is quite a large interval, being the size of a neutral second, however each individual generator step of the temperament is flattened by a small amount which is evenly spread out in the scale.
== Etymology ==
== Etymology ==
Rarity comma was named by [[Eliora]] as a pronounceable shortening of "radian-thirteen", taken from comma's [[monzo]]. A radian is 57 degrees and 17 arcminutes, and the final number is 13, and thus "radian-thirteen" was collapsed to "rarity".
Rarity comma was named by [[Eliora]] as a pronounceable shortening of "radian-thirteen", taken from comma's [[monzo]]. A radian is 57 degrees and 17 arcminutes, and the final number is 13, and thus "radian-thirteen" was collapsed to "rarity".

Revision as of 16:00, 5 July 2023

Interval information
Factorization 2-57 × 317 × 513
Monzo [-57 17 13
Size in cents 155.3133¢
Name rarity comma
FJS name [math]\displaystyle{ \text{10d}{-5}^{5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 114.129
Weil norm (log2 max(n, d)) 114.259
Wilson norm (sopfr(nd)) 230
Comma size large
Open this interval in xen-calc

Rarity comma is a 5-limit interval, which when tempered out produces the rarity temperament.

Temperaments

Tempering it out produces rarity temperament in the 5-limit. On it's own it is quite a large interval, being the size of a neutral second, however each individual generator step of the temperament is flattened by a small amount which is evenly spread out in the scale.

Etymology

Rarity comma was named by Eliora as a pronounceable shortening of "radian-thirteen", taken from comma's monzo. A radian is 57 degrees and 17 arcminutes, and the final number is 13, and thus "radian-thirteen" was collapsed to "rarity".