16/15: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = just diatonic semitone, classic(al) diatonic semitone, ptolemaic diatonic semitone | ||
| Color name = g2, gu 2nd | | Color name = g2, gu 2nd | ||
| Sound = jid_16_15_pluck_adu_dr220.mp3 | | Sound = jid_16_15_pluck_adu_dr220.mp3 | ||
}} | }} | ||
The [[5-limit]] [[superparticular]] interval '''16/15''' is the '''classic''' or ''' | The [[5-limit]] [[superparticular]] interval '''16/15''' is the '''just''', '''classic(al)''' or '''ptolemaic diatonic semitone''' – the difference between the major third [[5/4]] and the fourth [[4/3]], and between [[3/2]] and [[8/5]]. | ||
== Temperaments == | == Temperaments == |
Revision as of 12:42, 12 January 2023
Interval information |
classic(al) diatonic semitone,
ptolemaic diatonic semitone
reduced,
reduced subharmonic
[sound info]
The 5-limit superparticular interval 16/15 is the just, classic(al) or ptolemaic diatonic semitone – the difference between the major third 5/4 and the fourth 4/3, and between 3/2 and 8/5.
Temperaments
When this ratio is taken as a comma to be tempered, it produces father temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave complements of each other.
See also
- 15/8 – its octave complement
- 45/32 – its fifth complement
- 5/4 – its fourth complement
- 256/243 - the Pythagorean (3-limit) diatonic semitone
- Gallery of just intervals
- List of superparticular intervals
- AS16/15 - its ambitonal sequence