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In music, septimal meantone temperament, also called standard septimal meantone or simply septimal meantone, refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits.
and 29 Related for: Septimal meantone temperament information
system: Many chords of 31-ET are discussed in the article on septimalmeantonetemperament. Chords not discussed there include the neutral thirds triad...
a syntonic comma of ≈ 21.5063 cents (a feature of the prevalent meantonetemperament of the time). He also considered that an "artificial comma" of 2...
that almost purely tunes the 7th harmonic (7:4). Although it is a meantonetemperament, it is a very flat one, with four of its perfect fifths producing...
approximately 7.7 cents Septimal major third, the musical interval with a 9:7 ratio of frequencies Septimalmeantonetemperament, the tempering of 7-limit...
The following is a list of intervals of extended meantonetemperament. These intervals constitute the standard vocabulary of intervals for the Western...
(617.49), which is what these intervals are in septimalmeantonetemperament. In 31 equal temperament, for example, the A4 is 580.65 cents, whereas the...
is ~ 55 cents. In septimal meantonetemperament the diminished third is considered to approximate the interval of a septimal major second (play), with...
(thus quarter-comma meantonetemperament, eighth-schisma temperament, etc.). In both eighth-schisma tuning and quarter-comma meantone the octave and major...
tones, may be identified as either a lesser septimal tritone (in septimalmeantone systems), a greater septimal tritone (when the tempered fifth is around...
by a septimal kleisma of size 225:224 than the septimal major third with ratio 9:7. While septimalmeantonetemperament tempers out the septimal kleisma...
resembles the Slendro scale in Indonesian gamelan. 15 equal temperament is not a meantone system. Guitars have been constructed for 15-ET tuning. The...
if and only if twelve-tone equal temperament is used; for example, they are not the same thing in meantonetemperament, where the diatonic semitone is...
pental third of 5/4. This system is a "mirror image" of septimalmeantone in many ways: meantone systems tune the fifth flat so that intervals of 5 are...
1⁄11-comma meantone 19 tone equal temperament—Equivalent to 1⁄3-Comma meantone; achieves pure minor thirds of almost exactly 6/5 31 tone equal temperament—Equivalent...
of 6/5. In 24-tone equal temperament five quarter tones approximate the septimal minor third at 250 cents (Play). A septimal minor third is almost exactly...
the septimal comma. 41-ET can be seen as a tuning of the schismatic, magic and miracle temperaments. It is the second smallest equal temperament, after...
used in the sixteenth and seventeenth centuries: the quarter-comma meantonetemperament. More broadly, it is also used to refer to similar intervals (of...
13th harmonics more closely than the 7th. Musical temperament List of quarter tone pieces List of meantone intervals Holdrian Comma Hormoz Farhat (2004)....
from equal temperaments and the "tempered" tunings of the early renaissance and baroque, such as Well temperament, or Meantonetemperament. Since 5-limit...
plus a septimal minor third of 7/6 and an octave (2/1). This comma is important to certain tuning systems, such as septimalmeantonetemperament. A diminished...
tones, or 450 cents (play). Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16) to the same interval. This...
as a just minor seventh. 35:18, or 1151.23 cents, is the ratio of the septimal semi-diminished octave. The 15:8 just major seventh occurs arises in the...
The septimal major sixth (12/7) is approximated in 53 tone equal temperament by an interval of 41 steps or 928 cents. Major sixth (equal temperament) The...
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