46/45: Difference between revisions
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Dave Keenan (talk | contribs) →Sagittal notation: Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call. |
Expand on Johnston notation |
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'''46/45 | '''46/45''' is a [[23-limit]] [[superparticular]] interval of about 38.1 [[¢]]. | ||
== Sagittal notation == | == Notation == | ||
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | /|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C | === Ben Johnston's notation === | ||
This interval is the 23rd-partial chroma (23-limit formal comma) used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as {{invert|23}} (a turned 23). If the base note is C, then [[23/16]] is represented by C–F#+23. Note the + (for [[81/80]]) is required. | |||
=== Sagittal notation === | |||
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | /|~ }} and is called the '''23/5 small diesis''', or '''23/5S''' for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C-D{{nbhsp}}{{sagittal | /|~ }}. The downward version is called '''5/23S''' or '''23/5S down''' and is represented by {{sagittal| \!~ }}. | |||
== See also == | == See also == | ||
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* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Medium comma]]s | * [[Medium comma]]s | ||
[[Category:Commas named systematically]] | |||
Latest revision as of 11:04, 13 November 2024
| Interval information |
reduced
46/45 is a 23-limit superparticular interval of about 38.1 ¢.
Notation
Ben Johnston's notation
This interval is the 23rd-partial chroma (23-limit formal comma) used to express 23-limit intervals in Ben Johnston's notation, being expressed with a "23", while its reciprocal is denoted as 23 (a turned 23). If the base note is C, then 23/16 is represented by C–F#+23. Note the + (for 81/80) is required.
Sagittal notation
In the Sagittal system, this comma (possibly tempered) is represented by the sagittal and is called the 23/5 small diesis, or 23/5S for short, because the simplest interval it notates is 23/5 (equiv. 23/20), as for example in C-D . The downward version is called 5/23S or 23/5S down and is represented by .