Tridecimal neutral seventh chord: Difference between revisions

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Tridecimal neutral seventh chord is a chord ~~that goes 16/13 - 16/13 - 16/13 (or 39/64) - 13/12 (or 14/13).~~

Tridecimal neutral seventh chord is a chord consisting of three approximately equal neutral thirds which can be set to any kind of tridecimal neutral third interval.

~~The most likely notation for this chord is 13-N7~~.

== Theory ==

If the ~~[[169/168]] is tempered out, there is no difference between 16/13 and 39/64~~, meaning that the three neutral thirds that make up the chord are the same.

By tempering certain commas, it's possible to make the chord equidistant (or partially with an equidistant triad), meaning that the two three neutral thirds that make up the chord are the same. Such tempering occurs among the [[buzurgismic chords]], where 13/12 is tempered with 14/13.

However (at least in Eliora's experience), tridecimal neutral 7th chord sounds much more noble when the ~~169/168 is~~ left untempered, as it enables for a more precise 13/8 sound, and the slight asymmetry of one of the neutral triads that makes up the chord creates a tension that seeks to be resolved.

However (at least in Eliora's experience), tridecimal neutral 7th chord sounds much more noble when the neutral third commas are left untempered, as it enables for a more precise 13/8 sound, and the slight asymmetry of one of the neutral triads that makes up the chord creates a tension that seeks to be resolved.

~~If the neutral second is 13/12, then the N43~~

=== Inversions ===

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Such cadence is used in Mercury Amalgam songs Hemoclysm Totem and Bottom Text.

Example in 60edo:

42-0-7-25 - 35-55-10-25 - 0-20-35 (or 0-15-35) [using numbers]

G#2/5-C-C#2/5 - F - G-B-A-F - C-E-G (or C-Eb-G) [using 12edo and fractions]

== As means of extending standard Western music theory ==

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* Hemoclysm Totem - features ''both'' 16/13 - 14/13 - 16/13 ''and'' 16/13 - 13/12 - 16/13 in [[224edo]] (as a divisor of [[2016edo]]), where 169/168 is mapped to two steps.

* Bottom Text - features 16/13 - 14/13 - 16/13 only.

[[Category:Chords]]

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-Tridecimal neutral seventh chord is a chord that goes 16/13 - 16/13 - 16/13 (or 39/64) - 13/12 (or 14/13).
+Tridecimal neutral seventh chord is a chord consisting of three approximately equal neutral thirds which can be set to any kind of tridecimal neutral third interval.
-The most likely notation for this chord is 13-N7.
 == Theory ==
-If the [[169/168]] is tempered out, there is no difference between 16/13 and 39/64, meaning that the three neutral thirds that make up the chord are the same.
+By tempering certain commas, it's possible to make the chord equidistant (or partially with an equidistant triad), meaning that the two three neutral thirds that make up the chord are the same. Such tempering occurs among the [[buzurgismic chords]], where 13/12 is tempered with 14/13.
-However (at least in Eliora's experience), tridecimal neutral 7th chord sounds much more noble when the 169/168 is left untempered, as it enables for a more precise 13/8 sound, and the slight asymmetry of one of the neutral triads that makes up the chord creates a tension that seeks to be resolved.
+However (at least in Eliora's experience), tridecimal neutral 7th chord sounds much more noble when the neutral third commas are left untempered, as it enables for a more precise 13/8 sound, and the slight asymmetry of one of the neutral triads that makes up the chord creates a tension that seeks to be resolved.
-If the neutral second is 13/12, then the N43
 === Inversions ===
@@ Line 23: / Line 19: @@
 Such cadence is used in Mercury Amalgam songs Hemoclysm Totem and Bottom Text.
+Example in 60edo:
+-0-7-25 - 35-55-10-25 - 0-20-35 (or 0-15-35)  [using numbers]
+G#<sup>2</sup>/<sub>5</sub>-C-C#<sup>2</sup>/<sub>5</sub> - F - G-B-A-F - C-E-G (or C-Eb-G) [using 12edo and fractions]
 == As means of extending standard Western music theory ==
@@ Line 35: / Line 37: @@
 * Hemoclysm Totem - features ''both'' 16/13 - 14/13 - 16/13 ''and'' 16/13 - 13/12 - 16/13 in [[224edo]] (as a divisor of [[2016edo]]), where 169/168 is mapped to two steps.
 * Bottom Text - features 16/13 - 14/13 - 16/13 only.
+[[Category:Chords]]