875/864: Difference between revisions

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'''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.  
'''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]], the sum of [[105/104]] and [[325/324]]  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 02:44, 30 March 2022

Interval information
Ratio 875/864
Factorization 2-5 × 3-3 × 53 × 7
Monzo [-5 -3 3 1
Size in cents 21.90205¢
Name keema
Color name zy31, zotriyo unison
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, the sum of 105/104 and 325/324 and the difference between 49/48 and 126/125. Tempering it out leads to the keemic family of temperaments.

See also