Tredezime

Diatonic intervals
Prime second third fourth fifth sixth seventh octave none decime undezime duodecime tredezime semitone / whole tone
Special intervals
Microinterval Comma Diësis Limma Apotome Ditone Tritone Wolf fifth Natural septime
units
Cent Millioctave Octave Savart

A tredezime (more rarely: "Tredezim", from Latin tredecimus : "the thirteenth") or third decime is an interval in music that is made up of an octave and a sixth and thus spans thirteen notes of a diatonic , heptatonic scale (e.g. B. c-a ' ). The large tredezime (a) comprises 21 semitones, the small tredezime (b) 20 semitones. Example (c) shows a tredezima chord obtained by layering thirds .

Note example: three-decimal intervals

The term is also applicable when the interval spans a sixth and two or more octaves. Usually it is only used to emphasize the additional octave distance between the root and the sixth. Otherwise the term “sixth” is preferable.

Furthermore, the tredezime in the jazz harmonic is the sixth third above the root (c) and is numbered as “13” in the chord symbolism.

In connection with the partial tones , e.g. B. in organ registers , the 13th partial is called the tredezime. This treadmill has a frequency ratio of 13: 8 to the next lower octave.

Individual evidence

1. ↑ Gottfried Weber : General music theory for teachers and learners . Carl Wilhelm Leske, Darmstadt 1822, p.  58 ( limited preview in Google Book search).
2. ^ Mark Levine: The Jazz Piano Book . Advance Music, Petaluma 1992, ISBN 3-89221-040-3 , pp. 33 .