24edo/Interval names and harmonies: Difference between revisions
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I'm in the process of conforming this article's terms for ultramajor and inframinor intervals to what's seen on the page for 159edo intervals and harmonies. I'll have to continue this later. |
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=== Seconds === | === Seconds === | ||
Within a theory context, the above tone sizes will normally be referred to as seconds of the following names from great to small: | Within a theory context, the above tone sizes will normally be referred to as seconds of the following names from great to small: inframinor Second 50¢ – minor second 100¢ – neutral second 150¢ – major second 200¢ – ultramajor second 250¢. Therefore an inframinor second is the same as a quarter tone, a minor second is the same as a semitone, a neutral second is the same enharmonically as a neutral tone/wide semitone/narrow whole tone, a major second is the same as a whole tone, and an ultramajor second is the same as a wide tone. | ||
=== Thirds === | === Thirds === | ||
Like seconds, 24edo contains five sizes of thirds which are in order: | Like seconds, 24edo contains five sizes of thirds which are in order: inframinor third 250¢ – minor third 300¢ – neutral third 350¢ – major third 400¢ – ultramajor third 450¢. Obviously, the inframinor third is enharmonically the same as the ultramajor second but appear differently on the staff and function differently. In a chord such as C E G Dt or 0-400-700-250, 250¢ is functioning as an ultramajor ninth but in a chord such as 0-250-700-950, we could say that it is probably functioning as an inframinor third. The inframinor third is thought to represent 15/13, the neutral third is 11/9 and the ultra third is 13/10. | ||
=== Fourths === | === Fourths === | ||
24edo contains five distinct sizes of fourths: diminished fourth 400¢ – | 24edo contains five distinct sizes of fourths: diminished fourth 400¢ – paraminor fourth 450¢ – perfect fourth 500¢ – paramajor fourth 550¢ – augmented fourth 600¢. The paramajor fourth is a great representation of the eleventh harmonic 11/8, while the paraminor fourth is enharmonically the same as an ultramajor third. The 11/8 is a fantastic addition to major triads, while the 13/10 can sound good with minor triads. | ||
=== Fifths === | === Fifths === | ||
24edo contains five distinct sizes of fifths: diminished fifth 600¢ – | 24edo contains five distinct sizes of fifths: diminished fifth 600¢ – paraminor fifth 650¢ – perfect fifth 700¢ – paramajor fifth 750¢ – augmented fifth 800¢. The sound of the paraminor and paramajor fifths are very cool and extremely different from 12et sounds. The paraminor fifth, which is considered to be the most dissonant interval in 24et next to the ultramajor seventh, is a fantastic representation of the 11th subharmonic 16/11. The paraminor fifth, sometimes mistakenly called a "wolf fifth", can be used to create dynamic texture and voice leading but has a rough character that can be challenging to incorporate into the music well, though of course there is the option using it as the fifth of a lowered triad. The paramajor fifth is a good representation of 17/11 and is easily used as the fifth of a raised triad. | ||
=== Sixths === | === Sixths === | ||
24edo contains five distinct sizes of sixths: | 24edo contains five distinct sizes of sixths: inframinor sixth 750¢ – minor sixth 800¢ – neutral sixth 850¢ – major sixth 900¢ – ultramajor sixth 950¢. The inframinor sixth is enharmonically the same as the paramajor fifth. The neutral sixth is a decent approximation of 13/8, the thirteenth harmonic, however not quite as good as how well 24 approximates 11/8; The interval may more closely approximate 18/11. The neutral sixth is though to be the sweetest sounding neutral interval in the tuning. The ultramajor sixth approximates the interval 26/15 very closely but also can be considered a rather poor 7/4, yet can functionally harmonize in the same manner. | ||
=== Sevenths === | === Sevenths === | ||
24edo contains five distinct sizes of sevenths: | 24edo contains five distinct sizes of sevenths: inframinor venth 950¢ – minor seventh 1000¢ – neutral seventh 1050¢ – major seventh 1100¢ – ultramajor seventh – 1150¢. The inframinor seventh is enharmonically the same as the ultramajor sixth as it represents 26/15 or sometimes 7/4 but rather poorly. The neutral seventh is a fantastic 11/6 and the ultramajor seventh represents a good 35/18 and has a very rough character as it is the inversion of the inframinor second. | ||
=== Special enharmonics === | === Special enharmonics === | ||
24edo contains certain enharmonics that are good to keep in mind, the list is as follows: | 24edo contains certain enharmonics that are good to keep in mind, the list is as follows: | ||
* An | * An ultramajor second and inframinor third are both 250 cents. | ||
* An | * An ultramajor third and paraminor fourth are both 450 cents. | ||
* A | * A paramajor fifth and inframinor sixth are both 750 cents. | ||
* An | * An ultramajor sixth and inframinor seventh are both 950 cents. | ||
== Interval class categories == | == Interval class categories == | ||