26/25: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = large tridecimal third tone | | Name = large tridecimal third tone | ||
| Color name = 3ogg2, thogugu 2nd | | Color name = 3ogg2, thogugu 2nd | ||
| Sound = jid_26_25_pluck_adu_dr220.mp3 | | Sound = jid_26_25_pluck_adu_dr220.mp3 | ||
| Comma = yes | |||
}} | }} | ||
In [[13-limit]] [[just intonation]], '''26/25''', the '''large tridecimal third tone''' appears as the difference between the 26th and 25th [[harmonic]]s. Thus it makes the difference between [[13/8]] and [[25/16]] (a stack of two [[5/4]]'s). If it is treated as a comma, then [[5/4]] and [[13/10]] both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢. | |||
== Approximation == | |||
26/25 is very well approximated in [[53edo]] as 3\53 (+0.024{{cent}}), and in [[28edt]] as 1\28edt (+0.027{{cent}}). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt. | |||
== See also == | == See also == | ||
* [[25/13]] - its [[octave complement]] | * [[25/13]] - its [[octave complement]] | ||
* [[27/26]] - the small tridecimal third tone | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Third tone]] | [[Category:Third tone]] | ||
[[Category: | [[Category:Commas named after their interval size]] | ||
Latest revision as of 03:36, 3 August 2025
| Interval information |
reduced
[sound info]
In 13-limit just intonation, 26/25, the large tridecimal third tone appears as the difference between the 26th and 25th harmonics. Thus it makes the difference between 13/8 and 25/16 (a stack of two 5/4's). If it is treated as a comma, then 5/4 and 13/10 both collapse to a Neogothic-flavored major third in between them representing half of 13/8. It measures about 67.9¢.
Approximation
26/25 is very well approximated in 53edo as 3\53 (+0.024 ¢), and in 28edt as 1\28edt (+0.027 ¢). Its equal multiplication - 1ed26/25 - is effectively the same thing as 28edt.
See also
- 25/13 - its octave complement
- 27/26 - the small tridecimal third tone
- Gallery of just intervals
- List of superparticular intervals