169/168: Difference between revisions
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This interval has a name |
13/12 and 14/13 are closer to neutral seconds than semitones. The other pair lacks representativeness, replaced with 21/13 and 13/8 |
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| Color name = 3oor1, thothoru 1sn,<br>Thothoru comma | | Color name = 3oor1, thothoru 1sn,<br>Thothoru comma | ||
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'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between [[13/12]] and [[14/13]] | '''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]]. | ||
169/168 is tempered out in a 13-0-2-8 chord of [[19edo]], which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of [[16/13]] - [[13/12]] - [[16/13]], which also intertwines two 4/3s between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12. | 169/168 is tempered out in a 13-0-2-8 chord of [[19edo]], which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of [[16/13]] - [[13/12]] - [[16/13]], which also intertwines two 4/3s between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12. | ||
[[Category:Buzurgismic]] | [[Category:Buzurgismic]] | ||
Revision as of 07:36, 11 January 2023
| Interval information |
dhanvantarisma
Thothoru comma
reduced
169/168, the buzurgisma or the dhanvantarisma is a superparticular ratio measuring about 10.3 cents. It is the difference between the neutral seconds of 13/12 and 14/13 as well as between the neutral sixths of 21/13 and 13/8.
169/168 is tempered out in a 13-0-2-8 chord of 19edo, which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of 16/13 - 13/12 - 16/13, which also intertwines two 4/3s between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.