Triagnoshenisma: Difference between revisions
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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 falls 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". | 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 falls 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". | ||
In terms of | In terms of comma relations, it can be thought of as the amount by which a stack of two [[schisma]]s exceeds the [[wizardharry comma]]. It is also the sum of the [[parimo]] and the [[frameshift comma]]. | ||
Although this comma is unnoticeable, it is tempered out in [[ | Although this comma is unnoticeable, it is tempered out despite the poor quality of the 11-prime in [[29edo]] and [[99edo]]. For reasonable-sized [[EDO]]s that temper out this comma with better results, see [[65edo]] and [[159edo]], or, if you're slightly more adventurous, [[224edo]]. | ||
[[Category:Triagnoshenismic]] | [[Category:Triagnoshenismic]] | ||
[[Category:Commas named by translating something into another language]] | [[Category:Commas named by translating something into another language]] | ||
Latest revision as of 18:04, 3 September 2025
| Interval information |
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 falls 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".
In terms of comma relations, it can be thought of as the amount by which a stack of two schismas exceeds the wizardharry comma. It is also the sum of the parimo and the frameshift comma.
Although this comma is unnoticeable, it is tempered out despite the poor quality of the 11-prime in 29edo and 99edo. For reasonable-sized EDOs that temper out this comma with better results, see 65edo and 159edo, or, if you're slightly more adventurous, 224edo.