750/749: Difference between revisions

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Created page with "{{Niche}} {{Infobox interval|Name = ancient Chinese tempering comma |Color name = 107ury<sup>3</sup>-2|Comma = yes}} '''750/749''' is a 107-limit superparticular interval measuring 2.31 cents. It is known as '''ancient Chinese tempering comma''', on the account of the perfect fifth of 12edo is approximated by 749/500 = 1.498 as frequency ratio, flattened 3/2 by it. == See also == * List of superparticular intervals"
 
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{{Niche}}
{{Niche}}
{{Infobox interval|Name = ancient Chinese tempering comma |Color name = 107ury<sup>3</sup>-2|Comma = yes}}
{{Infobox interval|Name = ancient Chinese tempering comma |Color name = 107ury<sup>3</sup>-2|Comma = yes}}
'''750/749''' is a 107-limit superparticular interval measuring 2.31 cents. It is known as '''ancient Chinese tempering comma''', on the account of the perfect fifth of [[12edo]] is approximated by [[749/500]] = 1.498 as frequency ratio, flattened [[3/2]] by it.
'''750/749''' is a 107-limit superparticular interval measuring 2.31 cents. It is known as the '''ancient Chinese tempering comma.''' The perfect fifth of [[12edo]] is approximated by [[749/500]] = 1.498 as frequency ratio, and thus can be approximated by flattening [[3/2]] by this comma.  


== See also ==
== See also ==
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]

Revision as of 22:56, 13 June 2025

Interval information
Ratio 750/749
Subgroup monzo 2.3.5.7.107 [1 1 3 -1 -1
Size in cents 2.309852¢
Name ancient Chinese tempering comma
Color name 107ury3-2
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5,5}_{7,107} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 19.0996
Weil height (log2 max(n, d)) 19.1015
Wilson height (sopfr(nd)) 134
Comma size unnoticeable
Open this interval in xen-calc

750/749 is a 107-limit superparticular interval measuring 2.31 cents. It is known as the ancient Chinese tempering comma. The perfect fifth of 12edo is approximated by 749/500 = 1.498 as frequency ratio, and thus can be approximated by flattening 3/2 by this comma.

See also