Ensiklopedia Dunia

From Wikipedia, the free encyclopedia

In music, the ratio 225/224 is called the septimal kleisma (play^ⓘ).^[1] It is a minute comma type interval of approximately 7.7 cents. Factoring it into primes gives 2⁻⁵ 3² 5² 7⁻¹, which can be rewritten 2⁻¹ (5/4)² (9/7). That says that it is the amount that two major thirds of 5/4 and a septimal major third, or supermajor third, of 9/7 exceeds the octave.

The septimal kleisma can also be viewed as the difference between the diatonic semitone (16:15) and the septimal diatonic semitone (15:14).

References

^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems. CRC Press. p. xxvii. ISBN 0-8247-4714-3.

Intervals

Twelve-
semitone
(post-Bach
Western)

(Numbers in brackets
are the number of
semitones in the
interval.)

Perfect	unison (0) fourth (5) fifth (7) octave (12)
Major	second (2) third (4) sixth (9) seventh (11)
Minor	second (1) third (3) sixth (8) seventh (10)
Augmented	unison (1) second (3) third (5) fourth (6) fifth (8) sixth (10) seventh (12)
Diminished	second (0) third (2) fourth (4) fifth (6) sixth (7) seventh (9) octave (11)
Compound	ninth (13 or 14) tenth (15 or 16) eleventh (17 or 18) twelfth (18 or 19) thirteenth (20 or 21) fourteenth (22 or 23) fifteenth (24)

Other
tuning
systems

24-tone equal temperament
(Numbers in brackets refer
to fractional semitones.)

Neutral	quarter tone (1⁄2) second (1+1⁄2) third (3+1⁄2) major fourth (5+1⁄2) minor fifth (6+1⁄2) sixth (8+1⁄2) seventh (10+1⁄2)

Just intonations
(Numbers in brackets
refer to pitch ratios.)

7-limit	septimal quarter tone (36:35) septimal third tone (28:27) septimal chromatic semitone (21:20) septimal diatonic semitone (15:14) supermajor second (8:7) subminor third (7:6) supermajor third (9:7) subminor fifth (7:5) supermajor fourth (10:7) subminor seventh (7:4)
Higher-limit	minor diatonic semitone (17-limit)

Other
intervals

Groups	Microtone 5-limit Comma Pseudo-octave Pythagorean interval Subminor and supermajor
Semitones	Pythagorean limma Pythagorean apotome Major limma
Quarter tones	Quarter tone Septimal quarter tone Undecimal quarter tone
Commas	Pythagorean comma (23.5 cents) Syntonic comma (21.5 cents) Holdrian comma (22.6 cents) Septimal comma (27.3 cents) Lesser diesis (41.1 cents) Greater diesis (62.6 cents) Septimal diesis (35.7 cents) Diaschisma (19.5 cents) Semicomma (10.1 cents) Septimal semicomma (13.8 cents) Kleisma (8.1 cents) Septimal kleisma (7.7 cents) Schisma (1.95 cents) Breedsma (0.72 cents) Ragisma (0.4 cents)
Measurement	Cent Centitone Millioctave Savart
Others	Wolf Ditone Semiditone Secor Incomposite interval

List of pitch intervals

Categories:

Hidden category:

Pages using the Phonos extension