Factor 9 grid: Difference between revisions

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m "Infamous" means "having a bad reputation", which isn't appropriate here
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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 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.
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 the famous YouTuber, bassist, and composer Adam Neely.
 
== Theory ==
== 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.
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.


The scale, as proposed in the video, contains a major inconsistency - it has 13 notes (G sharp and A flat are not enharmonic), while it claims to be supposedly a better replacement towards the current 12-note system and makes references towards the sacrality of the number 12. Also, the scale in the video skips number 243 for an unknown reason, given that 126 = 9 * 14, and you need 14 notes to count to the octave displacement, if you are using an arithmetic difference of 9. This page will consider the full 14:15:...:28 otonal sequence.
The scale, as proposed in the video, contains a major inconsistency - it has 13 notes (G sharp and A flat are not enharmonic), while it claims to be supposedly a better replacement towards the current 12-note system and makes references towards the sacrality of the number 12. Also, the scale in the video skips number 243 for an unknown reason, given that 126 = 9 × 14, and you need 14 notes to count to the octave displacement, if you are using an arithmetic difference of 9. This page will consider the full 14:15::28 otonal sequence.


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.  
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.  
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Vals: 171f, 495, 666
Vals: 171f, 495, 666
== Mysticism and reality ==
== 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.  
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.