18/13: Difference between revisions
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m +FJS name; cleanup |
name ordering, name in introduction, tritone linked in text, removed from see-also section |
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| Monzo = 1 2 0 0 0 -1 | | Monzo = 1 2 0 0 0 -1 | ||
| Cents = 563.38234 | | Cents = 563.38234 | ||
| Name = | | Name = tridecimal augmented fourth, <br> low tritone | ||
| Color name = 3u4, thu 4th | | Color name = 3u4, thu 4th | ||
| FJS name = A4<sub>13</sub> | | FJS name = A4<sub>13</sub> | ||
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}} | }} | ||
In [[13-limit]] [[just intonation]], '''18/13''' is a '''low tritone''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales|harmonic series]]. | In [[13-limit]] [[just intonation]], '''18/13''', the '''tridecimal augmented fourth''' is a '''low [[tritone]]''' measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the [[overtone scales|harmonic series]]. | ||
The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢. | The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13/8]] and [[9/8]] are both a little sharp. The inversion of 18/13 is [[13/9]], a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢. | ||
== See also == | == See also == | ||
* [[13/9]] – its [[octave complement]] | * [[13/9]] – its [[octave complement]] | ||
* [[13/12]] – its [[fifth complement]] | * [[13/12]] – its [[fifth complement]] | ||
Revision as of 15:08, 27 September 2020
| Interval information |
low tritone
[sound info]
In 13-limit just intonation, 18/13, the tridecimal augmented fourth is a low tritone measuring about 563.4¢. It represents the interval between the 13th and 18th harmonics of the harmonic series.
The low tritone in 17edo approximates 18/13 quite well, while 17edo's approximations of 13/8 and 9/8 are both a little sharp. The inversion of 18/13 is 13/9, a high tritone measuring about 636.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.