{"id":9320,"date":"2025-06-22T20:35:13","date_gmt":"2025-06-22T20:35:13","guid":{"rendered":"https:\/\/kyonissho.com\/kyos-blog\/?p=9320"},"modified":"2025-06-29T20:09:56","modified_gmt":"2025-06-29T20:09:56","slug":"no-3090-for-common-denominator-of-music-and-mathematics","status":"publish","type":"post","link":"https:\/\/kyonissho.com\/kyos-blog\/blog\/2025\/06\/22\/no-3090-for-common-denominator-of-music-and-mathematics\/","title":{"rendered":"No.3090. For Common Denominator of Music and Mathematics."},"content":{"rendered":"\n
\"\"
Fig.1.0. No.3090 as an example in Galois field of F<\/strong>^2. The left figure of F<\/strong>2 and the right figure of F<\/strong>3 are congruent.<\/figcaption><\/figure>\n\n\n\n
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Fig.1.1. I’m using the circle of fifth to seek i0 orthogonal of {0}. Ref. Wikipedia.<\/figcaption><\/figure>\n\n\n\n

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.<\/p>\n\n\n\n

Violin is the musical instrument of pure temperament.
And if i0 orthogonal x (, y, z, … ) is shared with F<\/strong>2, it exists in same geometry as the same inclination.<\/p>\n\n\n\n

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.<\/p>\n\n\n\n

Piano is the musical instrument of equal temperament, therefore sounds\\F<\/strong>2 can’t be played, but also there is i0 orthogonal x (, y, z, … ) linked to F<\/strong>\u03c6 as F<\/strong>2 is F<\/strong>\u03c8 if the both exist in F<\/strong>^2 space. In case of F^d (d \u2265<\/dfn> 3), you\/we should discover or create the coordinates where is \u03c6 because where the +\u03b1 of \u03c8 is isn’t previously given (in case of F<\/strong>^2, +\u03b1 can be +0, +0 + y is linear).<\/p>\n\n\n\n

Link:
The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2)
https:\/\/kyonissho.com\/kyos-blog\/blog\/2023\/07\/17\/the-new-music-theory-as-music-and-mathematics-are-common-denominator-of-the-novel-glass-bead-game-2\/<\/a><\/p>\n\n\n\n

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Fig.2.0.0. No.3091. See fig.1 again.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.0.1. a case of the conversion between F<\/strong>– and F<\/strong>+, although the both spins of – and + directions exists on the same circle of F<\/strong>.<\/figcaption><\/figure>\n\n\n\n

Fig.2.0.1’s note:
(1) F<\/strong>+’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.<\/p>\n\n\n\n

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Fig.2.0.2. ubiquitous number; {universality of F<\/strong>– : peculiarity of F<\/strong>+} derives original and makes {absolute : relative} <-> ubiquitous.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.1. Galois’ imaginary number. Ref. \u6709\u9650\u306e\u4e2d\u306e\u7121\u9650 by \u897f\u6765\u8def \u6587\u6717 and \u6e05\u6c34 \u5065\u4e00<\/figcaption><\/figure>\n\n\n\n

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.<\/p>\n\n\n\n

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Fig.2.2. Two alpha’s (area’s) norm. (The water-blue area is for imagination, not the area itself.)<\/figcaption><\/figure>\n\n\n\n
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Fig.2.3. The upper Galois field is F<\/strong>5. The next is [n1m1, n2m2]^(1\/2) norm. Norm makes 2 dimensions return 1 dimension, therefore the root of number exists.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.4. The upper is the i0 orthogonal inclination 1 of F<\/strong>5.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.5. the ([n1m1, n2m2] + [n1m1, i0 orthogonal inclination1])^(1\/2) for F<\/strong>5. 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.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.6. The circle of fifth to approach\/observe\/play Cosmos.<\/figcaption><\/figure>\n\n\n\n
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Fig.2.7. Minor’s characteristics equally located of the circle of fifth with major’s.<\/figcaption><\/figure>\n\n\n\n

For other projections of [12, 7] is, for example,<\/p>\n\n\n\n

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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.<\/figcaption><\/figure>\n\n\n\n

Link:
No.3011. [0, 0] accord of inclination 1 for ultra-light speed.
https:\/\/kyonissho.com\/kyos-blog\/blog\/2025\/04\/05\/no-3011-0-0-accord-of-inclination-1-for-ultra-light-speed\/<\/a><\/p>\n\n\n\n

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).<\/p>\n\n\n\n

\"\"
Fig.3 (fig.1.2<\/em>). 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] \u22a5 numbers} ubiquitous conversion with Lie algebra.<\/em><\/figcaption><\/figure>\n\n\n\n

Fig.3. (fig.1.2):<\/em>
When [0, \u221e]interval and another [0, 0] exist at same time, [0, 0] may have the interval 1, or one random number from the interval \u221e of Fp2 are projected by the set theory into the interval [0, 0], the (\u221e – 1)space of naught exists before the projection on the other hand, then the F<\/strong>p1 itself is [0, 1] of [0, 0] i.e. F<\/strong>2.
When (F<\/strong>p1’s naught \u22a5 F<\/strong>p2’s numbers) exists, and when F<\/strong>p1 has become \u03c8 of 50% energy and 50% material (e.g. of life) over -gravity, space-time since F<\/strong>p1 is emitted\/released from t1 to t2 of potential F<\/strong>p2.<\/em><\/p>\n\n\n\n

Link:
No.3011. [0, 0] accord of inclination 1 for ultra-light speed.
https:\/\/kyonissho.com\/kyos-blog\/blog\/2025\/04\/05\/no-3011-0-0-accord-of-inclination-1-for-ultra-light-speed\/<\/a><\/p>\n\n\n\n

(C) Copyright 2025 Kiyom Nishio (Kyo Nissho). All rights reserved.<\/p>\n","protected":false},"excerpt":{"rendered":"

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 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","om_disable_all_campaigns":false,"pagelayer_contact_templates":[],"_pagelayer_content":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[3,4],"tags":[],"class_list":["post-9320","post","type-post","status-publish","format-standard","hentry","category-power-structured-to-revive","category-record"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/9320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/comments?post=9320"}],"version-history":[{"count":5,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/9320\/revisions"}],"predecessor-version":[{"id":9391,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/9320\/revisions\/9391"}],"wp:attachment":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/media?parent=9320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/categories?post=9320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/tags?post=9320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}