Septimal may refer to:
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Septimal chromatic semitone
In music
Music is generally defined as the The arts, art of arranging sound to create some combination of Musical form, form, harmony, melody, rhythm or otherwise Musical expression, expressive content. Exact definition of music, defin ...
, the interval 21:20, about 84.47 cents
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Septimal comma
A septimal comma is a small musical interval in just intonation that contains the number seven in its prime factorization. There is more than one such interval, so the term ''septimal comma'' is ambiguous, but it most commonly refers to the inte ...
, a small musical interval in just intonation divisible by 7
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Septimal diatonic semitone
In music, a septimal diatonic semitone (or major diatonic semitoneHaluska, Jan (2003). ''The Mathematical Theory of Tone Systems'', p.xxiv & 25. .) is the interval 15:14 . It is about 119.44 cents. The septimal diatonic semitone may be derived f ...
, the interval 15:14, about 119.44 cents
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Septimal diesis
In music, septimal diesis (or slendro diesis) is an interval with the ratio of 49:48 , which is the difference between the septimal whole tone and the septimal minor third. It is about 35.7 cents wide, which is narrower than a quarter-tone b ...
, an interval with the ratio of 49:48, about 38.71 cents
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Septimal kleisma, an interval of approximately 7.7 cents
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Septimal major third
In music, the septimal major third , also called the supermajor third (by Hermann von Helmholtz among others Hermann L. F. von Helmholtz (2007). ''Sensations of Tone'', p. 187. .) and sometimes '' Bohlen–Pierce third'' is the musical interval ...
, the musical interval with a 9:7 ratio of frequencies
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Septimal meantone temperament
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 ...
, the tempering of 7-limit musical intervals by a meantone temperament tuning
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Septimal minor third
In music, the septimal minor third, also called the subminor third (e.g., by Ellis), is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. In terms of cents, it is 267 cents, a quartertone of size 36/35 flatter ...
, the musical interval exactly or approximately equal to a 7/6 ratio of frequencies
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Septimal quarter tone
A septimal quarter tone (in music) is an interval with the ratio of 36:35, which is the difference between the septimal minor third and the Just minor third, or about 48.77 cents wide. The name derives from the interval being the 7-limit app ...
, an interval with the ratio of 36:35, about 48.77 cents
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Septimal semicomma In music, the septimal semicomma, a seven-limit semicomma, is the ratio 126/125 and is equal to approximately 13.79 cents (). It is also called the ''small septimal comma''Haluska, Jan (2003). ''The Mathematical Theory of Tone Systems'', p.xxvi. . ...
, an interval with the ratio 126/125, about 13.79 cents
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Septimal sixth-tone (or jubilisma), an interval with the ratio of 50:49, about 34.98 cents
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Septimal tritone
A septimal tritone is a tritone (about one half of an octave) that involves the factor seven. There are two that are inverses. The lesser septimal tritone (also Huygens' tritone) is the musical interval with ratio 7:5 (582.51 cents). The greater ...
, the interval 7:5, about 582.51 cents
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Septimal whole tone
In music, the septimal whole tone, septimal major second, or supermajor second is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies.Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass ...
, the musical interval exactly or approximately equal to an 8/7 ratio of frequencies
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7-limit tuning, musical instrument tunings that have a limit of seven
See also
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Septenary
There are many different numeral systems, that is, writing systems for expressing numbers.
By culture / time period
By type of notation
Numeral systems are classified here as to whether they use positional notation (also known as place-value ...
, the base 7 numeral system
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