343/324: Difference between revisions

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Created page on 343/324.
 
Jerdle (talk | contribs)
Added info about 18/17.
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| FJS name = d3<sup>7,7,7</sup>
| FJS name = d3<sup>7,7,7</sup>
}}'''343/324''' is a semitone-sized interval, defined as the difference between a stack of two [[7/6]] subminor thirds and a [[9/7]] supermajor third, making it a form of septimal diminished third. It is a gamelisma ([[1029/1024]]) above the Pythagorean minor second of [[256/243]]. Tempering it out equates a stack of three [[7/6]] subminor thirds with a [[3/2]] perfect fifth. While this is an unusual comma to temper, being nearly 100 cents in size, it is tempered out in [[Blacksmith]].
}}'''343/324''' is a semitone-sized interval, defined as the difference between a stack of two [[7/6]] subminor thirds and a [[9/7]] supermajor third, making it a form of septimal diminished third. It is a gamelisma ([[1029/1024]]) above the Pythagorean minor second of [[256/243]]. Tempering it out equates a stack of three [[7/6]] subminor thirds with a [[3/2]] perfect fifth. While this is an unusual comma to temper, being nearly 100 cents in size, it is tempered out in [[Blacksmith]].
It is extremely close to [[18/17]], differing from it by the [[unnoticeable comma]] of [[5832/5831]].

Revision as of 18:06, 12 July 2021

Interval information
Ratio 343/324
Factorization 2-2 × 3-4 × 73
Monzo [-2 -4 0 3
Size in cents 98.65772¢
Name(s) missing ? 
Color name zzz3, trizo 3rd
FJS name [math]\displaystyle{ \text{d3}^{7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 16.7619
Weil norm (log2 max(n, d)) 16.8441
Wilson norm (sopfr(nd)) 37
Open this interval in xen-calc

343/324 is a semitone-sized interval, defined as the difference between a stack of two 7/6 subminor thirds and a 9/7 supermajor third, making it a form of septimal diminished third. It is a gamelisma (1029/1024) above the Pythagorean minor second of 256/243. Tempering it out equates a stack of three 7/6 subminor thirds with a 3/2 perfect fifth. While this is an unusual comma to temper, being nearly 100 cents in size, it is tempered out in Blacksmith.

It is extremely close to 18/17, differing from it by the unnoticeable comma of 5832/5831.