256/245: Difference between revisions

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+more description; -name for now ("septimal minor semitone" fits 21/20 better than this)
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| Monzo = 8 0 -1 -2
| Monzo = 8 0 -1 -2
| Cents = 76.0345
| Cents = 76.0345
| Name = septimal minor semitone
| Name =  
| Sound =  
| Sound =  
| Color name = rrg1, rurugu unison
| Color name = rrg1, rurugu unison
| FJS name = P1<sub>5,7,7</sub>
| FJS name = P1<sub>5, 7, 7</sub>
}}
}}


'''256/245''', the '''septimal minor semitone''', is the amount by which two [[8/7]]s exceed a [[5/4]]. It exceeds [[25/24]] by [[6144/6125]] and [[24/23]] by [[736/735]]. It also falls short of [[21/20]] by [[1029/1024]].
'''256/245''' is the amount by which two [[8/7]]s exceed a [[5/4]], thus is the stack of two [[64/63]]'s and one [[81/80]]. It exceeds [[25/24]] by [[6144/6125]] and [[24/23]] by [[736/735]]. It also falls short of [[256/243]] by [[245/243]] and of [[21/20]] by [[1029/1024]].  


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Just interval]]
[[Category:Just interval]]

Revision as of 14:40, 3 March 2021

Interval information
Ratio 256/245
Factorization 28 × 5-1 × 7-2
Monzo [8 0 -1 -2
Size in cents 76.03447¢
Name(s) missing ? 
Color name rrg1, rurugu unison
FJS name [math]\displaystyle{ \text{P1}_{5,7,7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 15.9366
Weil height (log2 max(n, d)) 16
Wilson height (sopfr(nd)) 35
Open this interval in xen-calc

256/245 is the amount by which two 8/7s exceed a 5/4, thus is the stack of two 64/63's and one 81/80. It exceeds 25/24 by 6144/6125 and 24/23 by 736/735. It also falls short of 256/243 by 245/243 and of 21/20 by 1029/1024.