3250/3249: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
+commatic relations
 
Line 4: Line 4:
| Comma = yes
| Comma = yes
}}
}}
'''3250/3249''', the '''martebisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 0.53 [[cent]]s. It is the amount by which a stack consisting of [[10/9]] and two [[20/19]]s exceeds [[16/13]]. By tempering it out is defined the '''martebismic temperament''', which enables the [[martebismic chords]].
'''3250/3249''', the '''martebisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.13.19-[[subgroup]]) [[superparticular]] [[comma]] of about 0.53 [[cent]]s. It is the amount by which a stack consisting of [[10/9]] and two [[20/19]]'s exceeds [[16/13]]. By tempering it out is defined the '''martebismic temperament''', which enables the [[martebismic chords]].
 
== Commatic relations ==
This comma is the difference between the following superparticular pairs:
* [[325/324]] and [[361/360]] *
* [[400/399]] and [[456/455]]
* [[1445/1444]] and [[2601/2600]]
* [[1540/1539]] and [[2926/2925]]
* [[2080/2079]] and [[5776/5775]]
* [[2500/2499]] and [[10830/10829]]
* [[3025/3024]] and [[43681/43680]]
* [[3136/3135]] and [[89376/89375]]
 
It factors into the following superparticular pairs:
* [[6175/6174]] and [[6860/6859]]
* [[4375/4374]] and [[12636/12635]]
* [[4225/4224]] and [[14080/14079]]
* [[4200/4199]] and [[14365/14364]]
 
<nowiki/>* relation within the 2.3.5.13.19 subgroup


== Etymology ==
== Etymology ==
The name ''martebisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to [[Wikipedia:3250 Martebo|3250 Martebo]], the asteroid. Which was in turn named after a settlement in Gotland, Sweden.
The name ''martebisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to {{w|3250 Martebo}}, the asteroid, which was in turn named after a settlement in Gotland, Sweden.


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]



Latest revision as of 13:28, 5 November 2024

Interval information
Ratio 3250/3249
Factorization 2 × 3-2 × 53 × 13 × 19-2
Monzo [1 -2 3 0 0 1 0 -2
Size in cents 0.5327694¢
Name martebisma
Color name 19uu3oy3-2,
nunuthotriyo negative 2nd,
Nunuthotriyo comma
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5,5,13}_{19,19} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 23.332
Weil norm (log2 max(n, d)) 23.3324
Wilson norm (sopfr(nd)) 74
Comma size unnoticeable
Open this interval in xen-calc

3250/3249, the martebisma, is an unnoticeable 19-limit (also 2.3.5.13.19-subgroup) superparticular comma of about 0.53 cents. It is the amount by which a stack consisting of 10/9 and two 20/19's exceeds 16/13. By tempering it out is defined the martebismic temperament, which enables the martebismic chords.

Commatic relations

This comma is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

* relation within the 2.3.5.13.19 subgroup

Etymology

The name martebisma was named by Xenllium in 2023. It refers to 3250 Martebo, the asteroid, which was in turn named after a settlement in Gotland, Sweden.

See also