256/225: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = marvel | | Name = diptolemaic diminished third, Neapolitan diminished third, marvel 5-limit subharmonic second | ||
| Color name = sgg3, sagugu 3rd | | Color name = sgg3, sagugu 3rd | ||
| Sound = Ji-256-225-csound-foscil-220hz.mp3 | | Sound = Ji-256-225-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''256/225''', the ''' | '''256/225''', the '''diptolemaic diminished third''' or '''Neapolitan diminished third''', is the interval that results from stacking two [[16/15]] minor seconds. It is sharp of the [[65536/59049|Pythagorean diminished third]] by two [[81/80|syntonic commas]], hence the first name, whereas the second name comes on account of this interval occurring in precisely this manner in Neapolitan scales. | ||
It is a marvel comma ([[225/224]]) flat of the subharmonic second, [[8/7]], and so [[tempering out]] 225/224, which is [[marvel]] temperament, equates the two. As such, it can also be called the '''marvel 5-limit subharmonic second'''. It is also [[5632/5625]] sharp of [[25/22]]. | |||
== See also == | == See also == | ||
* [[225/128]] | * [[225/128]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category: | [[Category:Third]] | ||
[[Category: | [[Category:Diminished third]] | ||
Latest revision as of 09:06, 18 January 2026
| Interval information |
Neapolitan diminished third,
marvel 5-limit subharmonic second
reduced subharmonic
[sound info]
256/225, the diptolemaic diminished third or Neapolitan diminished third, is the interval that results from stacking two 16/15 minor seconds. It is sharp of the Pythagorean diminished third by two syntonic commas, hence the first name, whereas the second name comes on account of this interval occurring in precisely this manner in Neapolitan scales.
It is a marvel comma (225/224) flat of the subharmonic second, 8/7, and so tempering out 225/224, which is marvel temperament, equates the two. As such, it can also be called the marvel 5-limit subharmonic second. It is also 5632/5625 sharp of 25/22.