343/324: Difference between revisions
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'''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]], and is extremely close to [[18/17]], differing from it by the [[unnoticeable comma]] of [[5832/5831]]. | '''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]], and is extremely close to [[18/17]], differing from it by the [[unnoticeable comma]] of [[5832/5831]]. | ||
== Temperaments == | == Temperaments == | ||
Tempering | [[Tempering out]] this comma equates a stack of three [[7/6]] subminor thirds with a [[3/2]] perfect fifth. While this is an unusual comma to temper out, being nearly 100 cents in size, it is tempered out in [[blackwood]]. | ||
== See also == | == See also == | ||
Latest revision as of 15:16, 11 September 2025
| Interval information |
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, and is extremely close to 18/17, differing from it by the unnoticeable comma of 5832/5831.
Temperaments
Tempering out this comma equates a stack of three 7/6 subminor thirds with a 3/2 perfect fifth. While this is an unusual comma to temper out, being nearly 100 cents in size, it is tempered out in blackwood.