46/45: Difference between revisions

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Created page with "{{Infobox Interval | Name = 23rd-partial chroma | Color name = 23og2, twethogu comma | Comma = yes }} '''46/45''' or the '''23rd-partial chroma''' is a superparticular in..."
 
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add section for this comma's use in Sagittal notation
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'''46/45''' or the '''23rd-partial chroma''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).
'''46/45''' or the '''23rd-partial chroma''' is a [[superparticular]] interval of about 38.1 [[¢]]. It is the formal comma used to express 23-limit intervals in [[Ben Johnston's notation]], being expressed with a "23", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">23</span> (a turned 23).
== 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 ratio it notates is (4·5):23, as for example in C:D{{sagittal | /|~ }}.


== See also ==
== See also ==

Revision as of 05:17, 9 October 2024

Interval information
Ratio 46/45
Subgroup monzo 2.3.5.23 [1 -2 -1 1
Size in cents 38.05063¢
Name 23rd-partial chroma
Color name 23og2, twethogu comma
FJS name [math]\displaystyle{ \text{P1}^{23}_{5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.0154
Weil norm (log2 max(n, d)) 11.0471
Wilson norm (sopfr(nd)) 36
Comma size medium
Open this interval in xen-calc

46/45 or the 23rd-partial chroma is a superparticular interval of about 38.1 ¢. It is the 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).

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 ratio it notates is (4·5):23, as for example in C:D⁠ ⁠.

See also