17/14: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septendecimal supraminor third | | Name = septendecimal supraminor third | ||
| Color name = 17or3, soru 3rd | | Color name = 17or3, soru 3rd | ||
| Sound = jid_17_14_pluck_adu_dr220.mp3 | | Sound = jid_17_14_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[17-limit]] [[just intonation]], '''17/14''' is the '''septendecimal supraminor third''' measuring about 336.1¢. It is the [[mediant]] between [[6/5]] and [[11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in_JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad. | In [[17-limit]] [[just intonation]], '''17/14''' is the '''septendecimal supraminor third''' measuring about 336.1¢. It is the [[mediant]] between [[6/5]] and [[11/9]], as it is (6+11)/(5+9). A 14:17:21 [[List of root-3rd-P5 triads in_JI|root-3rd-P5]] triad can be built with 17/14 as the bottom third and [[21/17]] as the top third. This may thus represent a septendecimal "shading" of a minor triad. | ||
== Approximation == | |||
{{Interval edo approximation|17/14}} | |||
== See also == | == See also == | ||
* [[28/17]] – its [[octave complement]] | * [[28/17]] – its [[octave complement]] | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Supraminor third]] | [[Category:Supraminor third]] | ||
Latest revision as of 13:17, 3 November 2025
| Interval information |
[sound info]
In 17-limit just intonation, 17/14 is the septendecimal supraminor third measuring about 336.1¢. It is the mediant between 6/5 and 11/9, as it is (6+11)/(5+9). A 14:17:21 root-3rd-P5 triad can be built with 17/14 as the bottom third and 21/17 as the top third. This may thus represent a septendecimal "shading" of a minor triad.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 7 | 2\7 | 342.86 | +6.73 | +3.92 |
| 11 | 3\11 | 327.27 | -8.86 | -8.12 |
| 14 | 4\14 | 342.86 | +6.73 | +7.85 |
| 18 | 5\18 | 333.33 | -2.80 | -4.19 |
| 25 | 7\25 | 336.00 | -0.13 | -0.27 |
| 32 | 9\32 | 337.50 | +1.37 | +3.65 |
| 36 | 10\36 | 333.33 | -2.80 | -8.39 |
| 39 | 11\39 | 338.46 | +2.33 | +7.58 |
| 43 | 12\43 | 334.88 | -1.25 | -4.46 |
| 50 | 14\50 | 336.00 | -0.13 | -0.54 |
| 57 | 16\57 | 336.84 | +0.71 | +3.38 |
| 61 | 17\61 | 334.43 | -1.70 | -8.66 |
| 64 | 18\64 | 337.50 | +1.37 | +7.31 |
| 68 | 19\68 | 335.29 | -0.84 | -4.73 |
| 75 | 21\75 | 336.00 | -0.13 | -0.81 |