752/729: Difference between revisions

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Created for HEJI
 
Francium (talk | contribs)
Added Infobox Interval
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{| class="wikitable"
{{Infobox Interval
|+Interval information
|Ratio = 752/729
|Ratio
|Name = 47-limit ~quartertone (HEJI)
|752/729
|Color name = s47o2, safoso 2nd
|-
|Comma = yes
|[[Smonzos and svals|Subgroup monzo]]
}}
|2.3.47 [4 -6 1⟩
|-
|Size in [[Cent|cents]]
|53.7766168¢
|-
|Names
|47-limit ~quartertone (HEJI)
|}
'''752/729''', or the '''47-limit ~quartertone comma (HEJI)''', is a 2.3.47 subgroup comma. It is the amount by which 47/32 (the 47th harmonic) exceeds the Pythagorean augmented fourth (729/512). It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby 47-limit (prefix???) interval.
'''752/729''', or the '''47-limit ~quartertone comma (HEJI)''', is a 2.3.47 subgroup comma. It is the amount by which 47/32 (the 47th harmonic) exceeds the Pythagorean augmented fourth (729/512). It is significant in [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby 47-limit (prefix???) interval.

Revision as of 09:51, 24 September 2023

Interval information
Ratio 752/729
Subgroup monzo 2.3.47 [4 -6 1
Size in cents 53.77662¢
Name 47-limit ~quartertone (HEJI)
Color name s47o2, safoso 2nd
FJS name [math]\displaystyle{ \text{m2}^{47} }[/math]
Special properties reduced
Tenney norm (log2 nd) 19.0644
Weil norm (log2 max(n, d)) 19.1092
Wilson norm (sopfr(nd)) 73
Comma size medium
Open this interval in xen-calc

752/729, or the 47-limit ~quartertone comma (HEJI), is a 2.3.47 subgroup comma. It is the amount by which 47/32 (the 47th harmonic) exceeds the Pythagorean augmented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 47-limit (prefix???) interval.