800/729: Difference between revisions
Tristanbay (talk | contribs) slight wording change Tags: Mobile edit Mobile web edit |
Rework and reject the 2024 name in favor of existing names |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = diptolemaic major second, supersharp comma | ||
| Color name = sayoyo 2nd, syy2 | | Color name = sayoyo 2nd, syy2 | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The ''' | The '''diptolemaic major second''' is a [[5-limit]] [[interval]] measuring about 161{{cent}}. It is the difference between [[27/20]] and [[40/27]], as well as [[9/8]] lowered by two [[81/80|syntonic commas]]. | ||
== Temperaments == | |||
If used as a [[comma]] to be tempered out, this interval may be called the '''supersharp comma''', and tempering it out leads to the rank-2 [[supersharp]] temperament, which splits the octave into two 27/20~40/27 semioctaves and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the [[generator sequence #JI scales obtained from guided generator sequences|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit [[extension]] adds [[50/49]] to the comma list, taking advantage of the existing semioctave. | |||
== Etymology == | == Etymology == | ||
The name ''supersharp'' has been around no later than 2010<ref>[https://en.xen.wiki/index.php?title=Proposed_names_for_rank_2_temperaments&oldid=24809 Xenharmonic Wiki | Proposed names for rank 2 temperaments (Revision as of 22:54, 11 June 2010 by Wikispaces>Mizarian)]</ref>, coming from the fact that a very sharp fifth is a generator for the temperament. | |||
== Notes == | |||
[[User:Tristanbay|Tristan Bay]] proposes the name ''la brea'' in August 2024 in reference to the ''taric'' [[mos scale]] pattern that can be formed from tempering it out. | |||
Revision as of 15:38, 11 August 2024
| Interval information |
supersharp comma
The diptolemaic major second is a 5-limit interval measuring about 161 ¢. It is the difference between 27/20 and 40/27, as well as 9/8 lowered by two syntonic commas.
Temperaments
If used as a comma to be tempered out, this interval may be called the supersharp comma, and tempering it out leads to the rank-2 supersharp temperament, which splits the octave into two 27/20~40/27 semioctaves and generally tempers 3/2 very sharp (by more than 20¢). This means that five generators from the Zarlino generator sequence starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit extension adds 50/49 to the comma list, taking advantage of the existing semioctave.
Etymology
The name supersharp has been around no later than 2010[1], coming from the fact that a very sharp fifth is a generator for the temperament.
Notes
Tristan Bay proposes the name la brea in August 2024 in reference to the taric mos scale pattern that can be formed from tempering it out.