35/27: Difference between revisions
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'''35/27''', the '''septimal semidiminished fourth''', is the interval between [[9/7]] and [[5/3]]. It is about 449.3 [[cent]]s in size, [[245/243]] sharp of [[9/7]] and [[351/350]] flat of [[13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13. | '''35/27''', the '''septimal semidiminished fourth''', is the interval between [[9/7]] and [[5/3]]. It is about 449.3 [[cent]]s in size, [[245/243]] sharp of [[9/7]] and [[351/350]] flat of [[13/10]]. Tempering out 351/350 leads to chords such as the [[ratwolf triad]], a tempered 1-6/5-20/13. | ||
Notice it is also sharp of the | Notice it is also sharp of the classical major third by [[28/27]], the subminor second, suggesting the function of a dissonance yet to be resolved down to the 5/4. | ||
== Approximation == | |||
{{Interval edo approximation|35/27}} | |||
== See also == | == See also == | ||
* [[54/35]] – its [[octave complement]] | * [[54/35]] – its [[octave complement]] | ||
| Line 17: | Line 18: | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category:Diminished fourth]] | [[Category:Diminished fourth]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Naiadic]] | [[Category:Naiadic]] | ||
Latest revision as of 19:40, 29 May 2026
| Interval information |
[sound info]
35/27, the septimal semidiminished fourth, is the interval between 9/7 and 5/3. It is about 449.3 cents in size, 245/243 sharp of 9/7 and 351/350 flat of 13/10. Tempering out 351/350 leads to chords such as the ratwolf triad, a tempered 1-6/5-20/13.
Notice it is also sharp of the classical major third by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved down to the 5/4.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 8 | 3\8 | 450.00 | +0.73 | +0.48 |
| 16 | 6\16 | 450.00 | +0.73 | +0.97 |
| 24 | 9\24 | 450.00 | +0.73 | +1.45 |
| 32 | 12\32 | 450.00 | +0.73 | +1.93 |
| 40 | 15\40 | 450.00 | +0.73 | +2.42 |
| 43 | 16\43 | 446.51 | -2.76 | -9.90 |
| 48 | 18\48 | 450.00 | +0.73 | +2.90 |
| 51 | 19\51 | 447.06 | -2.22 | -9.42 |
| 56 | 21\56 | 450.00 | +0.73 | +3.39 |
| 59 | 22\59 | 447.46 | -1.82 | -8.93 |
| 64 | 24\64 | 450.00 | +0.73 | +3.87 |
| 67 | 25\67 | 447.76 | -1.51 | -8.45 |
| 72 | 27\72 | 450.00 | +0.73 | +4.35 |
| 75 | 28\75 | 448.00 | -1.27 | -7.97 |
| 80 | 30\80 | 450.00 | +0.73 | +4.84 |
See also
- 54/35 – its octave complement
- 81/70 – its fifth complement
- Gallery of just intervals
- File:Ji-35-27-csound-foscil-220hz.mp3 – another sound example