The Inner, Synthesizing Understanding of Music

5. 7, 8, 6. 11, 7. 12, 8. 13, 9. 14, 10. 17, 18, 15. 25, 16. 26, 17. 29, 30
4. 4, 5, 11. 20, 21, 18. 32, 33
5. 6, 7, 10. 18, 19, 17. 30, 31
5. 9, 6. 10, 10. 16, 17, 17. 28, 29
6. 10, 11, 9. 14, 15, 16. 26, 27
5. 9, 6. 10, 11, 7. 12, 8. 13, 9. 14, 15, 10. 16, 15. 25, 16. 26, 27, 17. 28
6. 10, 11, 9. 14, 15, 16. 26, 27
5. 9, 6. 10, 10. 16, 17, 17. 28, 29
5. 6, 7, 10. 18, 19, 17. 30, 31
4. 4, 5, 11. 20, 21, 18. 32, 33

The mastery
6. 11, 7. 12, 8. 13, 9. 14, 15. 25, 16. 26

over the elements of a composition, the motif, the melody,
5. 6, 7, 10. 18, 19, 17. 30, 31

the sequence,
5. 9, 6. 10, 10. 16, 17, 17. 28, 29

and the harmony –
6. 10, 11, 9. 14, 15, 16. 26, 27

and based on that, the integrated mastery over the overtone-spectrum of a tone –
4. 4, 5, 11. 20, 21, 18. 32, 33

have their equivalent in mathematics in the effortless mastery over irrational numbers; for in music, which is structured lively,
4, 11, 18
5, 10, 17
7, 8, 15
6, 9, 16
5. 7, 8, 9, 6. 10, 11, 7. 12, 8. 13, 9. 14, 15, 10. 16, 17, 18, 15. 25,
16. 26, 27, 17. 28, 29, 30
6. 10, 11, 9. 14, 15, 16. 26, 27
5. 9, 6. 10, 10. 16, 17, 17. 28, 29
5. 6, 7, 10. 18, 19, 17. 30, 31
4. 4, 5, 11. 20, 21, 18. 32, 33
11. 21, 12.-14. 22, 23, 18. 33, 19.-21. 34, 35

all the structural elements of the composition move in ratios of irrational numbers.
Nothing is fixed here, 1-3
and yet one feels the presence of an organizing knowledge,
7, 8, 15
6, 9, 16
4, 11, 18
5, 10, 17
without being able to grasp it at any specific point.