100/97: Difference between revisions

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'''100/97'''
{{Infobox Interval
| Name = shrutar quarter tone
| Color name = 97uyy1, fifosuyoyo unison, ninety-suyoyo unison
| Sound = jid_100_97_pluck_adu_dr220.mp3
}}


= 2<span style="font-size: 80%; vertical-align: super;">2</span> * 5<span style="font-size: 80%; vertical-align: super;">2</span> * 97<span style="font-size: 80%; vertical-align: super;">-1</span>
The '''shrutar quarter tone''' ('''100/97''' = 2<sup>2</sup> · 5<sup>2</sup> · 97<sup>−1</sup>) can be used as a tuning for the [[Diaschismic_family#Shrutar|shrutar]] generator, and in particular is only 0.002{{cent}} sharp of the [[POTE]] generator for 19-limit shrutar.
 
52.732 cents
 
[[File:jid_100_97_pluck_adu_dr220.mp3]] [[:File:jid_100_97_pluck_adu_dr220.mp3|sound sample]]
 
100/97 can be used as a tuning for the [[Diaschismic_family#Shrutar|shrutar]] generator, and in particular is only 0.002 cents sharp of the POTE generator for 19-limit shrutar.

Latest revision as of 21:49, 11 July 2023

Interval information
Ratio 100/97
Subgroup monzo 2.5.97 [2 2 -1⟩
Size in cents 52.73202¢
Name shrutar quarter tone
Color name 97uyy1, fifosuyoyo unison, ninety-suyoyo unison
FJS name [math]\displaystyle{ \text{A1}^{5,5}_{97} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.2438
Weil norm (log2 max(n, d)) 13.2877
Wilson norm (sopfr(nd)) 111

[sound info]
Open this interval in xen-calc

The shrutar quarter tone (100/97 = 22 · 52 · 97−1) can be used as a tuning for the shrutar generator, and in particular is only 0.002 ¢ sharp of the POTE generator for 19-limit shrutar.

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