Factor 9 grid: Difference between revisions

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Factor 9 grid is a type of musical scale which was first proposed for esoteric reasons, as a supposed replacement to [[12edo]]. The ~~motivation behind the~~ scale, or any kind of esoteric just intonation proposal, is that the irrational pitch standard of equal temperament has an acoustically unpleasant effect, that subsequently allegedly spreads to the subconscious part of the mind and results in ~~degradation of the quality of life. The~~ esoteric properties of the scale were subsequently refuted by an infamous YouTuber, bassist, and composer Adam Neely.

Factor 9 grid is a type of musical scale which was first proposed for esoteric reasons as a supposed replacement to [[12edo]]. The scale also became notable in music theory when esoteric properties of the scale were subsequently refuted by an infamous YouTuber, bassist, and composer Adam Neely.

== Theory ==

The scale is an isoharmonic sequence that consists of the following notes, in Hertz: 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, (octave), and their octave displacements. Therefore this is an [[otonal]] scale running from 14th to 28th harmonic.This is an arithmetic progression with the difference of 9, hence why this scale was named, although quite misnomerly, "Factor 9 grid". Since the largest prime is 23, this makes Factor 9 grid a part of [[23-limit]] just intonation.

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Since the esoteric affliction towards the note A being 432 Hz is usually considered, the scale is supposed to be played starting with A, which leaves a wide semitone inside the octave.

~~=== Mysticism and reality ===~~

However, it is not possible to have both the rationality of just intonation and evenness of equal temperament. The irrationality of equal temperament has been known since ancient times by various names, the most common being the proof by infinite descent of the square root of two. Another way to look at this is that if a stack of fifths (3/2) were to close at the octave, it would imply the existence of an even power of 3, which is nonsense.

== Intervals ==

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Vals: 171f, 495, 666

== Mysticism and reality ==

The motivation behind the scale, or any kind of esoteric just intonation proposal, is that the irrational pitch standard of equal temperament has an acoustically unpleasant effect, that subsequently allegedly spreads to the subconscious part of the mind and results in degradation of the quality of life.

However, it is not possible to have both the rationality of just intonation and evenness of equal temperament at the same time. The irrationality of equal temperament has been known since ancient times by various names, the most common being the proof by infinite descent of the square root of two. For example if a stack of fifths (3/2) were to close at the octave, it would imply the existence of an even power of 3, which is nonsense.

If there is credible scientific evidence that playing just intonation music through public loudspeakers, in soundtracks, or other public venues will increase peace and quality of human life, it must be presented properly, without occultist context.

== References ==

* [https://www.youtube.com/watch?v=FY74AFQl2qQ Sonic Geometry: The Language of Frequency and Form] - the original video

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-Factor 9 grid is a type of musical scale which was first proposed for esoteric reasons, as a supposed replacement to [[12edo]]. The motivation behind the scale, or any kind of esoteric just intonation proposal, is that the irrational pitch standard of equal temperament has an acoustically unpleasant effect, that subsequently allegedly spreads to the subconscious part of the mind and results in degradation of the quality of life. The esoteric properties of the scale were subsequently refuted by an infamous YouTuber, bassist, and composer Adam Neely.
+Factor 9 grid is a type of musical scale which was first proposed for esoteric reasons as a supposed replacement to [[12edo]]. The scale also became notable in music theory when esoteric properties of the scale were subsequently refuted by an infamous YouTuber, bassist, and composer Adam Neely.
 == Theory ==
 The scale is an isoharmonic sequence that consists of the following notes, in Hertz: 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, (octave), and their octave displacements. Therefore this is an [[otonal]] scale running from 14th to 28th harmonic.This is an arithmetic progression with the difference of 9, hence why this scale was named, although quite misnomerly, "Factor 9 grid". Since the largest prime is 23, this makes Factor 9 grid a part of [[23-limit]] just intonation.
@@ Line 6: / Line 6: @@
 Since the esoteric affliction towards the note A being 432 Hz is usually considered, the scale is supposed to be played starting with A, which leaves a wide semitone inside the octave.
-=== Mysticism and reality ===
-However, it is not possible to have both the rationality of just intonation and evenness of equal temperament. The irrationality of equal temperament has been known since ancient times by various names, the most common being the proof by infinite descent of the square root of two. Another way to look at this is that if a stack of fifths (3/2) were to close at the octave, it would imply the existence of an even power of 3, which is nonsense.
 == Intervals ==
@@ Line 57: / Line 54: @@
 Vals: 171f, 495, 666
+== Mysticism and reality ==
+The motivation behind the scale, or any kind of esoteric just intonation proposal, is that the irrational pitch standard of equal temperament has an acoustically unpleasant effect, that subsequently allegedly spreads to the subconscious part of the mind and results in degradation of the quality of life.
+However, it is not possible to have both the rationality of just intonation and evenness of equal temperament at the same time. The irrationality of equal temperament has been known since ancient times by various names, the most common being the proof by infinite descent of the square root of two. For example if a stack of fifths (3/2) were to close at the octave, it would imply the existence of an even power of 3, which is nonsense.
+If there is credible scientific evidence that playing just intonation music through public loudspeakers, in soundtracks, or other public venues will increase peace and quality of human life, it must be presented properly, without occultist context.
 == References ==
 * [https://www.youtube.com/watch?v=FY74AFQl2qQ Sonic Geometry: The Language of Frequency and Form] - the original video