8192/8019: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Alpharabian inframinor second | | Name = Alpharabian inframinor second <br>dimifondisma | ||
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'''8192/8019''', the '''Alpharabian inframinor second''', is the basic inframinor second in the 2.3.11 [[subgroup]]. It differs from [[4096/3993]], the Alpharabian paralimma, by [[243/242]], it differs from [[45/44]], the undecimal 1/5-tone, by the [[schisma]], and, it also differs from [[64/63]], the Archytas comma, by [[896/891]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[256/243]]. | '''8192/8019''', the '''Alpharabian inframinor second''', is the basic inframinor second in the 2.3.11 [[subgroup]]. It differs from [[4096/3993]], the Alpharabian paralimma, by [[243/242]], it differs from [[45/44]], the undecimal 1/5-tone, by the [[schisma]], and, it also differs from [[64/63]], the Archytas comma, by [[896/891]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[256/243]]. | ||
When treated as a comma to be tempered, and thus tempered out, for instance, in undecimal superpyth temperament, the result is the obliteration of any distinction between the diatonic intervals of [[Pythagorean tuning]] and nearby paradiatonic intervals. | When treated as a comma to be tempered, and thus tempered out, for instance, in undecimal superpyth temperament, the result is the obliteration of any distinction between the diatonic intervals of [[Pythagorean tuning]] and nearby paradiatonic intervals- most notably, it obliterates the distinction between 16/11 and 729/512, and this, combined with the fact that this interval is an inframinor second when not tempered, leads to the comma name '''dimifondisma''', with "dimi" from "diminished", "f" from "fifth" and "ond" from "second". | ||
== See also == | == See also == | ||
* [[8019/4096]] – its [[octave complement]] | * [[8019/4096]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 07:40, 19 May 2023
| Interval information |
dimifondisma
reduced subharmonic
8192/8019, the Alpharabian inframinor second, is the basic inframinor second in the 2.3.11 subgroup. It differs from 4096/3993, the Alpharabian paralimma, by 243/242, it differs from 45/44, the undecimal 1/5-tone, by the schisma, and, it also differs from 64/63, the Archytas comma, by 896/891. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 256/243.
When treated as a comma to be tempered, and thus tempered out, for instance, in undecimal superpyth temperament, the result is the obliteration of any distinction between the diatonic intervals of Pythagorean tuning and nearby paradiatonic intervals- most notably, it obliterates the distinction between 16/11 and 729/512, and this, combined with the fact that this interval is an inframinor second when not tempered, leads to the comma name dimifondisma, with "dimi" from "diminished", "f" from "fifth" and "ond" from "second".