Triagnoshenisma: Difference between revisions

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The '''triagnoshenisma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.5.11 subgroup- with a ratio of '''171885556953/171798691840''', and a size of roughly 0.88 [[cent]]s.  Its name comes from two of the main ways of conceptualizing it.  Firstly, it is the amount by which a stack of three [[1024/891]] inframinor thirds falls short of a [[243/160]] lamb fifth, hence the first part of the comma's name- from the Latin ''tri-'' prefix plus the Latin word [[Wiktionary: agnus #Latin|''agnus'']], with the linking ''-o-'' replacing the ending of "agnus".  Secondly, it is the amount by which a stack of three [[8192/8019]] inframinor seconds fall short of a [[16/15]] minor second, which, since both of these intervals are types of second in diatonic-based interval naming schemes, leads to the second part of the comma's name- from the Hebrew word [[Wiktionary: שני #Hebrew|''shení'']], meaning "second".
The '''triagnoshenisma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma (specifically of the 2.3.5.11 [[subgroup]]) with a [[ratio]] of 171885556953/171798691840, and a size of roughly 0.88 [[cent]]s.  


Although this comma is unnoticeable, it is tempered out in [[EDO]]s such as [[29edo]], [[65edo]] and [[159edo]].
Its name comes from two of the main ways of conceptualizing it. Firstly, it is the amount by which a stack of three [[1024/891]] inframinor thirds falls short of a [[243/160]] lamb fifth, hence the first part of the comma's name – from the Latin ''tri-'' prefix plus the Latin word [[Wiktionary: agnus #Latin|''agnus'']], with the linking ''-o-'' replacing the ending of "agnus".  Secondly, it is the amount by which a stack of three [[8192/8019]] inframinor seconds fall short of a [[16/15]] minor second, which, since both of these intervals are types of second in diatonic-based interval naming schemes, leads to the second part of the comma's name – from the Hebrew word [[Wiktionary: שני #Hebrew|''shení'']], meaning "second".


== See also ==
Although this comma is unnoticeable, it is tempered out in [[edo]]s such as [[29edo]], [[65edo]] and [[159edo]].
* [[Unnoticeable comma]]
 
[[Category:Triagnoshenismic]]

Revision as of 06:38, 22 January 2024

Interval information
Ratio 171885556953/171798691840
Factorization 2-35 × 317 × 5-1 × 113
Monzo [-35 17 -1 0 3
Size in cents 0.8751279¢
Name triagnoshenisma
Color name trila-trilo-agu negative 3rd, L31o3g-3
FJS name [math]\displaystyle{ \text{d}{-3}^{11,11,11}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 74.6446
Weil norm (log2 max(n, d)) 74.6453
Wilson norm (sopfr(nd)) 159
Comma size unnoticeable
Open this interval in xen-calc

The triagnoshenisma, is an unnoticeable 11-limit comma (specifically of the 2.3.5.11 subgroup) with a ratio of 171885556953/171798691840, and a size of roughly 0.88 cents.

Its name comes from two of the main ways of conceptualizing it. Firstly, it is the amount by which a stack of three 1024/891 inframinor thirds falls short of a 243/160 lamb fifth, hence the first part of the comma's name – from the Latin tri- prefix plus the Latin word agnus, with the linking -o- replacing the ending of "agnus". Secondly, it is the amount by which a stack of three 8192/8019 inframinor seconds fall short of a 16/15 minor second, which, since both of these intervals are types of second in diatonic-based interval naming schemes, leads to the second part of the comma's name – from the Hebrew word shení, meaning "second".

Although this comma is unnoticeable, it is tempered out in edos such as 29edo, 65edo and 159edo.