27/14: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal major seventh, supermajor seventh | |||
| Name = septimal major seventh, | |||
| Color name = r7, ru 7th | | Color name = r7, ru 7th | ||
| Sound = jid_27_14_pluck_adu_dr220.mp3 | | Sound = jid_27_14_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[7-limit]] [[just intonation]], '''27/14''' is the '''septimal major | In [[7-limit]] [[just intonation]], '''27/14''' is the '''septimal (super)major seventh'''. At about 1137 cents, it sounds much more tense than its classic counterpart [[15/8]] and thus provides the function of a strong leading tone added to the traditional harmony. | ||
It is very accurately approximated by [[19edo]] (18\19), and hence the [[enneadecal]] temperament. | It is very accurately approximated by [[19edo]] (18\19), and hence the [[enneadecal]] temperament. | ||
== Approximation == | |||
{{Interval edo approximation|27/14}} | |||
== See also == | == See also == | ||
* [[28/27]] – its [[octave complement]] | * [[28/27]] – its [[octave complement]] | ||
* [[Gallery of | * [[14/9]] – its [[twelfth complement]] | ||
* [[Gallery of just intervals]] | |||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Supermajor seventh]] | [[Category:Supermajor seventh]] | ||
Latest revision as of 13:07, 3 November 2025
| Interval information |
supermajor seventh
[sound info]
In 7-limit just intonation, 27/14 is the septimal (super)major seventh. At about 1137 cents, it sounds much more tense than its classic counterpart 15/8 and thus provides the function of a strong leading tone added to the traditional harmony.
It is very accurately approximated by 19edo (18\19), and hence the enneadecal temperament.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 18 | 17\18 | 1133.33 | -3.71 | -5.56 |
| 19 | 18\19 | 1136.84 | -0.20 | -0.31 |
| 20 | 19\20 | 1140.00 | +2.96 | +4.93 |
| 37 | 35\37 | 1135.14 | -1.90 | -5.87 |
| 38 | 36\38 | 1136.84 | -0.20 | -0.62 |
| 39 | 37\39 | 1138.46 | +1.42 | +4.62 |
| 40 | 38\40 | 1140.00 | +2.96 | +9.87 |
| 56 | 53\56 | 1135.71 | -1.32 | -6.18 |
| 57 | 54\57 | 1136.84 | -0.20 | -0.94 |
| 58 | 55\58 | 1137.93 | +0.89 | +4.31 |
| 59 | 56\59 | 1138.98 | +1.94 | +9.56 |
| 75 | 71\75 | 1136.00 | -1.04 | -6.49 |
| 76 | 72\76 | 1136.84 | -0.20 | -1.25 |
| 77 | 73\77 | 1137.66 | +0.62 | +4.00 |
| 78 | 74\78 | 1138.46 | +1.42 | +9.25 |