25/21: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 301054618 - Original comment: ** |
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{{Infobox Interval | |||
| Name = quasi-tempered minor third | |||
| Color name = ryy2, ruyoyo 2nd | |||
| Sound = jid_25_21_pluck_adu_dr220.mp3 | |||
}} | |||
'''25/21''', the '''quasi-tempered minor third''', is the interval between [[6/5]] and [[10/7]], and also [[7/5]] and [[5/3]]. It is [[225/224]] sharp of [[32/27]], [[126/125]] flat of [[6/5]], and [[tempering out]] 126/125 makes the 1–6/5–10/7 triad into a [[diminished triad]] where two minor thirds make up a [[tritone]]. It is extremely close to 3 steps of [[12edo]] (300 cents). | |||
25/21 is also an important interval in the [[Bohlen–Pierce scale]], where it represents a "BP whole tone", i.e. the large step in the [[4L 5s (3/1-equivalent)|Lambda scale]]. | |||
== Approximation == | |||
{{Interval edo approximation|25/21}} | |||
== See also == | |||
* [[42/25]] – its [[octave complement]] | |||
* [[63/50]] – its [[fifth complement]] | |||
* [[28/25]] – its [[fourth complement]] | |||
* [[Gallery of just intervals]] | |||
* [[:File:Ji-25-21-csound-foscil-220hz.mp3]] - another sound example | |||
[[Category:Third]] | |||
[[Category:Minor third]] | |||
[[Category:Marvel]] | |||
Latest revision as of 13:11, 12 December 2025
| Interval information |
[sound info]
25/21, the quasi-tempered minor third, is the interval between 6/5 and 10/7, and also 7/5 and 5/3. It is 225/224 sharp of 32/27, 126/125 flat of 6/5, and tempering out 126/125 makes the 1–6/5–10/7 triad into a diminished triad where two minor thirds make up a tritone. It is extremely close to 3 steps of 12edo (300 cents).
25/21 is also an important interval in the Bohlen–Pierce scale, where it represents a "BP whole tone", i.e. the large step in the Lambda scale.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 4 | 1\4 | 300.00 | -1.85 | -0.62 |
| 8 | 2\8 | 300.00 | -1.85 | -1.23 |
| 12 | 3\12 | 300.00 | -1.85 | -1.85 |
| 16 | 4\16 | 300.00 | -1.85 | -2.46 |
| 20 | 5\20 | 300.00 | -1.85 | -3.08 |
| 24 | 6\24 | 300.00 | -1.85 | -3.69 |
| 28 | 7\28 | 300.00 | -1.85 | -4.31 |
| 32 | 8\32 | 300.00 | -1.85 | -4.92 |
| 36 | 9\36 | 300.00 | -1.85 | -5.54 |
| 40 | 10\40 | 300.00 | -1.85 | -6.16 |
| 44 | 11\44 | 300.00 | -1.85 | -6.77 |
| 48 | 12\48 | 300.00 | -1.85 | -7.39 |
| 52 | 13\52 | 300.00 | -1.85 | -8.00 |
| 56 | 14\56 | 300.00 | -1.85 | -8.62 |
| 60 | 15\60 | 300.00 | -1.85 | -9.23 |
| 64 | 16\64 | 300.00 | -1.85 | -9.85 |
See also
- 42/25 – its octave complement
- 63/50 – its fifth complement
- 28/25 – its fourth complement
- Gallery of just intervals
- File:Ji-25-21-csound-foscil-220hz.mp3 - another sound example