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 Intervals between notes in Pythagorean scale

 

The table displays the 28 ascending intervals (turquoise cells) between the eight notes in the Pythagorean octave, the unit interval (white cells) between each note and itself, and their 28 falling intervals (pink cells), that is, the intervals between pairs of notes taken in reverse order. Intervals that are not tone ratios of notes in the Pythagorean scale are written in red. There are 20 ascending Pythagorean intervals (21, including the tonic) and 20 descending ones. This shows how EHYEH, the Godname of Kether with number value 21, prescribes the Pythagorean intervals. Formally including the eight unit intervals because the tonic has tone ratio 1, 48 cells in the complete set of 64 cells enclose Pythagorean tone ratios and their reciprocals for falling intervals. 48 is the number value of Kokab, the Mundane Chakra of Hod, and 64 is the number value of Nogah, the Mundane Chakra of Netzach, the Sephirah of Construction that precedes Hod in the Tree of Life. The presence of these Kabbalistic numbers is an indication that the Pythagorean scale, which is a member of the holistic system of seven scales, is a holistic system in itself. The Godname ELOHA with number value 36 prescribes the 36 intervals making up a diagonal half of the 8×8 square array of intervals.

 

 

 

 

 

 

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