224/195: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 224/195 | Monzo = 5 -1 -1 1 0 -1 | Cents = 240.02953 | Name = quasi-tempered 1/5-octave <br>5EDO-esque tone | Color name = 3uzg3, thuzog..." |
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{{Infobox | {{Mathematical interest}} | ||
{{Infobox interval | |||
| Name = quasi-tempered 1/5-octave, 5EDO-esque tone | |||
| Name = quasi-tempered 1/5-octave | |||
| Color name = 3uzg3, thuzogu 3rd | | Color name = 3uzg3, thuzogu 3rd | ||
}} | }} | ||
'''224/195''' is a 13-limit interval which is very accurately approximated by the step interval of [[5edo|5EDO]] (quasi-tempered 1/5-octave). It is [[225/224]] flat of [[15/13]]. | '''224/195''' is a 13-limit interval which is very accurately approximated by the step interval of [[5edo|5EDO]] (quasi-tempered 1/5-octave). It is [[225/224]] flat of [[15/13]], and can be obtained by stacking [[14/13]] and [[16/15]]. | ||
== See also == | == See also == | ||
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* [[Pentonisma]] - the amount by which a stack of five 224/195s exceed an octave | * [[Pentonisma]] - the amount by which a stack of five 224/195s exceed an octave | ||
[[Category: | [[Category:Interseptimal intervals]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Supermajor second]] | [[Category:Supermajor second]] | ||
[[Category:Semifourth]] | [[Category:Semifourth]] | ||
Latest revision as of 22:22, 10 August 2025
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
5EDO-esque tone
224/195 is a 13-limit interval which is very accurately approximated by the step interval of 5EDO (quasi-tempered 1/5-octave). It is 225/224 flat of 15/13, and can be obtained by stacking 14/13 and 16/15.
See also
- 195/112 - its octave complement
- Gallery of just intervals
- Pentonisma - the amount by which a stack of five 224/195s exceed an octave