875/864: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Icon = | Ratio = 875/864 | Monzo = -5 -3 3 1 | Cents = 21.90205 | Name = keema | Color name = | FJS name = | Sound = }} '''875/864''', the '''keema''..."
 
Godtone (talk | contribs)
m added another interpretation
Line 10: Line 10:
}}
}}


'''875/864''', the '''keema''', is a [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4|septimal minor seventh (7/4)]] and a stack of three [[6/5|just minor thirds (6/5)]], or between a [[27/14|septimal major seventh (27/14)]] and a stack of three [[5/4|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], and the difference between [[49/48]] and [[126/125]]. Tempering it out leads to the [[keemic family]] of temperaments.  
'''875/864''', the '''keema''', is a [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4|septimal minor seventh (7/4)]] and a stack of three [[6/5|just minor thirds (6/5)]], or between a [[27/14|septimal major seventh (27/14)]] and a stack of three [[5/4|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]] and the difference between [[49/48]] and [[126/125]]. Tempering it out leads to the [[keemic family]] of temperaments.  


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

Revision as of 16:01, 15 May 2021

Interval information
Ratio 875/864
Factorization 2-5 × 3-3 × 53 × 7
Monzo [-5 -3 3 1
Size in cents 21.90205¢
Name keema
FJS name [math]\displaystyle{ \text{A1}^{5,5,5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 19.528
Weil norm (log2 max(n, d)) 19.5463
Wilson norm (sopfr(nd)) 41
Open this interval in xen-calc

875/864, the keema, is a 7-limit comma measuring about 21.9 cents. It marks the difference between the septimal minor seventh (7/4) and a stack of three just minor thirds (6/5), or between a septimal major seventh (27/14) and a stack of three just major thirds (5/4). It is also the sum of 245/243 and 225/224, the sum of 100/99 and 385/384 and the difference between 49/48 and 126/125. Tempering it out leads to the keemic family of temperaments.

See also