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No.3090. For Common Denominator of Music and Mathematics.

  • kyonissho
  • Jul 2
  • 4 min read

Updated: Aug 16

Fig.1.0. No.3090 as an example in Galois field of F^2. The left figure of F2 and the right figure of F3 are congruent.
Fig.1.0. No.3090 as an example in Galois field of F^2. The left figure of F2 and the right figure of F3 are congruent.
Fig.1.1. I'm using the circle of fifth to seek i0 orthogonal of {0}. Ref. Wikipedia.
Fig.1.1. I'm using the circle of fifth to seek i0 orthogonal of {0}. Ref. Wikipedia.

Fig.1.0 and fig.1.1:

In order to discover how numbers receive any cosmic reaction or how numbers are found in any reaction to Cosmos, we require the ubiquitous number, base-u, because when number itself exists in breaking off we cannot observe and try any experimentation with released from a past experience. Base-u appears to both mathematics and music at i0 exists. Any musical instrument is the experimentation instrument of base-u through i0.


Violin is the musical instrument of pure temperament.And if i0 orthogonal x (, y, z, ... ) is shared with F2, it exists in same geometry as the same inclination.


i0 and i0 orthogonal x in fig.1 isn't orthogonal in Euclidean geometry, but orthogonal in the composition of musical space, and naturally the musical space exists with the common denominator with mathematics.


Piano is the musical instrument of equal temperament, therefore sounds\F2 can't be played, but also there is i0 orthogonal x (, y, z, ... ) linked to Fφ as F2 is Fψ if the both exist in F^2 space. In case of F^d (d ≥ 3), you/we should discover or create the coordinates where is φ because where the +α of ψ is isn't previously given (in case of F^2, +α can be +0, +0 + y is linear).


Link:

The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2)


Fig.2.0.0. No.3091. See fig.1 again.
Fig.2.0.0. No.3091. See fig.1 again.
Fig.2.0.1. a case of the conversion between F- and F+, although the both spins of - and + directions exists on the same circle of F.
Fig.2.0.1. a case of the conversion between F- and F+, although the both spins of - and + directions exists on the same circle of F.

Fig.2.0.1's note:

(1) F+'s column and row go toward +inf but the consequents go toward {+inf, -inf}.

(2) I used bold of letter for the same antecedents of (3 +0) and (3 +1) because it represents our common sense but just common sense isn't the true field.

(3) The comparison fig.2.0.1 with fig.1.1 is after fig.2.2.


Fig.2.0.2. ubiquitous number; {universality of F- : peculiarity of F+} derives original and makes {absolute : relative} <-> ubiquitous.
Fig.2.0.2. ubiquitous number; {universality of F- : peculiarity of F+} derives original and makes {absolute : relative} <-> ubiquitous.
Fig.2.1. Galois' imaginary number. Ref. 有限の中の無限 by 西来路 文朗 and 清水 健一
Fig.2.1. Galois' imaginary number. Ref. 有限の中の無限 by 西来路 文朗 and 清水 健一

Any interval [n1m1, n2/m2] and [n1m1, i0 orthogonal] of music and mathematics let us intuit a norm, [0, 0] can be given to the norm, and i0 orthogonal's inclination 1 can be given to 0s' space-time accord which can be applied to fig.1.1 (circle of fifth) i.e. to harmony for beauty.


Fig.2.2. Two alpha's (area's) norm. (The water-blue area is for imagination, not the area itself.)
Fig.2.2. Two alpha's (area's) norm. (The water-blue area is for imagination, not the area itself.)
Fig.2.3. The upper Galois field is F5. The next is [n1m1, n2m2]^(1/2) norm. Norm makes 2 dimensions return 1 dimension, therefore the root of number exists.
Fig.2.3. The upper Galois field is F5. The next is [n1m1, n2m2]^(1/2) norm. Norm makes 2 dimensions return 1 dimension, therefore the root of number exists.
Fig.2.4. The upper is the i0 orthogonal inclination 1 of F5.
Fig.2.4. The upper is the i0 orthogonal inclination 1 of F5.
Fig.2.5. the ([n1m1, n2m2] + [n1m1, i0 orthogonal inclination1])^(1/2) for F5. The double root of distribution exists, in other words, the upper dimensions appear spread in the complex as before the restoration of the original space-time.
Fig.2.5. the ([n1m1, n2m2] + [n1m1, i0 orthogonal inclination1])^(1/2) for F5. The double root of distribution exists, in other words, the upper dimensions appear spread in the complex as before the restoration of the original space-time.
Fig.2.6. The circle of fifth to approach/observe/play Cosmos.
Fig.2.6. The circle of fifth to approach/observe/play Cosmos.
Fig.2.7. Minor's characteristics equally located of the circle of fifth with major's.
Fig.2.7. Minor's characteristics equally located of the circle of fifth with major's.

For other projections of [12, 7] is, for example,


Fig.2.7 (2.0 (fig.10.7.4.1b)). Dice's orthogonals and the inclination 1, in order to generate the imaginary number space for the practice.
Fig.2.7 (2.0 (fig.10.7.4.1b)). Dice's orthogonals and the inclination 1, in order to generate the imaginary number space for the practice.

Link:

No.3011. [0, 0] accord of inclination 1 for ultra-light speed.


There are vast variations of what [n1m1, ... , nxmx] returns [nymy, i0 orthogonal, therefore where i0 orthogonal inclination 1 is isn't fixed before the approach (mathematics), observation (physics) or playing (music).


Fig.3 (fig.1.2). In spin of fig.2, i0 existing behind and [0, 0] in order calculate and experience Cosmos over the common denominator of music and mathematics. I expect to realize the {[0, 0] ⊥ numbers} ubiquitous conversion with Lie algebra.
Fig.3 (fig.1.2). In spin of fig.2, i0 existing behind and [0, 0] in order calculate and experience Cosmos over the common denominator of music and mathematics. I expect to realize the {[0, 0] ⊥ numbers} ubiquitous conversion with Lie algebra.

Fig.3. (fig.1.2):

When [0, ∞]interval and another [0, 0] exist at same time, [0, 0] may have the interval 1, or one random number from the interval ∞ of Fp2 are projected by the set theory into the interval [0, 0], the (∞ - 1)space of naught exists before the projection on the other hand, then the Fp1 itself is [0, 1] of [0, 0] i.e. F2.When (Fp1's naught ⊥ Fp2's numbers) exists, and when Fp1 has become ψ of 50% energy and 50% material (e.g. of life) over -gravity, space-time since Fp1 is emitted/released from t1 to t2 of potential Fp2.


Link:

(1)

No.3011. [0, 0] accord of inclination 1 for ultra-light speed.

(2)

No.3171. My home-position glass bead for no look playing for music and mathematics through sounds.



(The first post on kyonissho.com/kyos-blog was June 22, 2025)


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