The table displays the tone ratios of the notes in the seven types of musical scales when, instead of considering the notes of the scales in terms of the artificial division of the modern equal-tempered scale, we return to their original, pure mathematical magnitudes based upon the Pythagorean interval of 9/8 and the leimma of 256/243. Coloured cells denote tone ratios of notes making up the Pythagorean scale (C scale) and white cells denote tone ratios of non-Pythagean notes. There are 26 Pythagorean notes and 16 non-Pythagorean notes between the tonic and octave of the seven types of scales. The gematria number value of YAHWEH, the Godname of Chokmah, is the number of Pythagorean notes to be found between the tonic and octave of the seven musical scales. This is remarkable evidence that the seven types of diatonic scales constitute a holistic system prescribed mathematically by the Godnames of the 10 Sephiroth.

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