31/30: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
A (talk | contribs)
No edit summary
Expand on Johnston notation
 
Line 7: Line 7:
'''31/30''' is the '''large tricesimoprimal quartertone''' measuring about 57{{cent}}. It differs from [[33/32]], the undecimal quartertone, by [[496/495]] (approx. 3.49{{cent}}). It differs from [[32/31]], another tricesimoprimal quartertone, by [[961/960]] (approx. 1.80{{cent}}); they together make [[16/15]].  
'''31/30''' is the '''large tricesimoprimal quartertone''' measuring about 57{{cent}}. It differs from [[33/32]], the undecimal quartertone, by [[496/495]] (approx. 3.49{{cent}}). It differs from [[32/31]], another tricesimoprimal quartertone, by [[961/960]] (approx. 1.80{{cent}}); they together make [[16/15]].  


[[Ben Johnston's notation]] denotes this interval simply with the number "31", and its reciprocal as <span style="display: inline-block; transform: rotate(180deg)">31</span> (a turned 31).
This interval is the 31st-partial chroma (31-limit formal comma) in [[Ben Johnston's notation]], denoted simply with the number "31", while its reciprocal is denoted as <span style="display: inline-block; transform: rotate(180deg)">31</span> (a turned 31). If the base note is C, then 31/16 is represented by C–B31.  


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

Latest revision as of 10:56, 13 November 2024

Interval information
Ratio 31/30
Subgroup monzo 2.3.5.31 [-1 -1 -1 1
Size in cents 56.76686¢
Name large tricesimoprimal quartertone
Color name 31og1, thiwogu unison
FJS name [math]\displaystyle{ \text{P1}^{31}_{5} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 9.86109
Weil height (log2 max(n, d)) 9.90839
Wilson height (sopfr(nd)) 41

[sound info]
Open this interval in xen-calc

31/30 is the large tricesimoprimal quartertone measuring about 57 ¢. It differs from 33/32, the undecimal quartertone, by 496/495 (approx. 3.49 ¢). It differs from 32/31, another tricesimoprimal quartertone, by 961/960 (approx. 1.80 ¢); they together make 16/15.

This interval is the 31st-partial chroma (31-limit formal comma) in Ben Johnston's notation, denoted simply with the number "31", while its reciprocal is denoted as 31 (a turned 31). If the base note is C, then 31/16 is represented by C–B31.

See also