Canopic comma: Difference between revisions
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== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[canopic]] temperament. Tempering out this comma in the 3.5.7 subgroup reads to the [[nonoctave]] [[rank-2]] temperament [[canopus]]. It is also tempered out in rank-2 full 7-limit temperaments which have octaves such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]], which comprise the rank-2 [[canopic clan]]. | [[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[canopic]] temperament. Tempering out this comma in the [[3.5.7 subgroup]] reads to the [[nonoctave]] [[rank-2]] temperament [[canopus]]. It is also tempered out in rank-2 full 7-limit temperaments which have octaves such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]], which comprise the rank-2 [[canopic clan]]. | ||
See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out. | See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out. | ||
Revision as of 04:54, 5 November 2026
| Interval information |
canopus comma
The canopic comma or canopus comma (ratio: 16875/16807, monzo: [0 3 4 -5⟩), formerly mirkwai comma, is a small 7-limit (specifically 3.5.7-subgroup) comma measuring about 6.99 cents. It is also known as small BP diesis in Bohlen–Pierce practice.
Temperaments
Tempering out this comma alone in the 7-limit leads to the rank-3 canopic temperament. Tempering out this comma in the 3.5.7 subgroup reads to the nonoctave rank-2 temperament canopus. It is also tempered out in rank-2 full 7-limit temperaments which have octaves such as miracle, octoid, semisept, grendel, kwai, pluto, and mirkat, which comprise the rank-2 canopic clan.
See Canopic clan for a collection of rank-2 temperaments where it is tempered out.
Etymology
Canopic and canopus are named after the 3.5.7-subgroup temperament canopus, following a convention of naming tritave-based regular temperaments after stars.
The name mirkwai was given by Gene Ward Smith in 2005 as a contraction of miracle and kwai[1]. Not widely accepted, it is effectively deprecated by 2026.
The name small BP diesis was given in [2].