7/11 comma: Difference between revisions
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"7/11 comma" is a systematic name of sagittal notation so this needs to be noted. +more identities and usage |
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The '''7/11 comma''' is a comma with a ratio of '''45927/45056''' and a value of approximately 33.15 [[cent]]s. | The [[Sagittal]] '''7/11 comma''' is a comma with a [[ratio]] of '''45927/45056''' and a value of approximately 33.15 [[cent]]s. It is the apotome complement of [[22/21]], and the difference between the [[Pythagorean comma]] and the [[896/891|pentacircle comma (896/891)]]. It is the comma that separates [[11/7]] and the [[6561/4096|Pythagorean augmented fifth]], and separates [[14/11]] and the [[8192/6561|Pythagorean diminished fourth]]. | ||
In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (! }} and is called the '''11/7 comma''', or '''11/7C''' for short, because the simplest interval it notates is 11/7, as for example in E{{nbhsp}}{{sagittal | b }}-B{{nbhsp}}{{sagittal | (! }}. The upward version is called '''7/11C''' or '''11/7C up''' and is represented by {{sagittal| (| }}. | |||
Revision as of 09:25, 25 October 2024
| Interval information |
The Sagittal 7/11 comma is a comma with a ratio of 45927/45056 and a value of approximately 33.15 cents. It is the apotome complement of 22/21, and the difference between the Pythagorean comma and the pentacircle comma (896/891). It is the comma that separates 11/7 and the Pythagorean augmented fifth, and separates 14/11 and the Pythagorean diminished fourth.
In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal and is called the 11/7 comma, or 11/7C for short, because the simplest interval it notates is 11/7, as for example in E -B . The upward version is called 7/11C or 11/7C up and is represented by .