Pessoalisma: Difference between revisions

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The '''pessoalisma''' ([[monzo]]: {{monzo| 31 -6 -2 -6 }}, [[ratio]]: 2147483648/2144153025) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] comma with a value of approximately 2.69 [[cent]]s. Tempering it out leads to a form of [[pessoal]] temperament. Named by [[Aura]] in early 2023, this comma is one of the defining commas in temperaments such as [[Abigail]] in the 7-limit, and "Abigail" itself is a person's name, leading to the use of the Portuguese word "pessoal" (meaning "staff" or "folks"<ref>[[Wiktionary: pessoal #Portuguese]]</ref>) for this comma's temperament name, and thus the comma's name of "pessoalisma".
The '''pessoalisma''' ([[monzo]]: {{monzo| 31 -6 -2 -6 }}, [[ratio]]: 2147483648/2144153025) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a value of approximately 2.69 [[cent]]s.  
 
== Temperaments ==
Tempering out this comma leads to a form of [[pessoal]] temperament.  
 
== Etymology ==
This comma was named by [[Aura]] in early 2023, for it is one of the defining commas in temperaments such as [[abigail]] in the 7-limit, and ''Abigail'' itself is a person's name, leading to the use of the Portuguese word ''pessoal'' (meaning "staff" or "folks"<ref>[[Wiktionary: pessoal #Portuguese]]</ref>) for this comma's temperament name, and thus the comma's name of "pessoalisma".  


== References ==
== References ==

Latest revision as of 12:10, 12 December 2024

Interval information
Ratio 2147483648/2144153025
Factorization 231 × 3-6 × 5-2 × 7-6
Monzo [31 -6 -2 -6
Size in cents 2.687128¢
Name pessoalisma
Color name ssr6gg-2,
sasa-tribiru-agugu negative 2nd
FJS name [math]\displaystyle{ \text{M}{-2}_{5,5,7,7,7,7,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 61.9978
Weil height (log2 max(n, d)) 62
Wilson height (sopfr(nd)) 132
Comma size unnoticeable
Open this interval in xen-calc

The pessoalisma (monzo: [31 -6 -2 -6, ratio: 2147483648/2144153025) is an unnoticeable 7-limit comma with a value of approximately 2.69 cents.

Temperaments

Tempering out this comma leads to a form of pessoal temperament.

Etymology

This comma was named by Aura in early 2023, for it is one of the defining commas in temperaments such as abigail in the 7-limit, and Abigail itself is a person's name, leading to the use of the Portuguese word pessoal (meaning "staff" or "folks"[1]) for this comma's temperament name, and thus the comma's name of "pessoalisma".

References