513/512: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = undevicesimal comma, undevicesimal schisma, Boethius' comma | | Name = undevicesimal comma, undevicesimal schisma, Boethius' comma | ||
| Color name = L19o1, lano 1sn,<br>Lano comma | | Color name = L19o1, lano 1sn, <br>Lano comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''513/512''', the '''undevicesimal comma''', '''undevicesimal schisma''' or '''Boethius' comma''', is a [[19-limit]] (also 2.3.19 subgroup) unnoticeable comma. It is the amount by which [[19/16]] exceeds the [[32/27|Pythagorean minor third (32/27)]]. By tempering it out is defined the '''boethius temperament''', which enables the '''boethius chords'''. It is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval. | '''513/512''', the '''undevicesimal comma''', '''undevicesimal schisma''' or '''Boethius' comma''', is a [[19-limit]] (also 2.3.19 subgroup) unnoticeable comma. It is the amount by which [[19/16]] exceeds the [[32/27|Pythagorean minor third (32/27)]]. By tempering it out is defined the '''boethius temperament''', which enables the '''[[boethius chords]]'''. It is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval. | ||
== See also == | == See also == | ||
Revision as of 03:48, 19 July 2023
| Interval information |
undevicesimal schisma,
Boethius' comma
Lano comma
reduced,
reduced harmonic
513/512, the undevicesimal comma, undevicesimal schisma or Boethius' comma, is a 19-limit (also 2.3.19 subgroup) unnoticeable comma. It is the amount by which 19/16 exceeds the Pythagorean minor third (32/27). By tempering it out is defined the boethius temperament, which enables the boethius chords. It is significant in Functional Just System and Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval.