{"id":4113,"date":"2023-08-20T04:28:16","date_gmt":"2023-08-20T04:28:16","guid":{"rendered":"https:\/\/kyonissho.com\/kyos-blog\/?p=4113"},"modified":"2023-08-24T15:28:32","modified_gmt":"2023-08-24T15:28:32","slug":"base-x-tunings-for-instruments","status":"publish","type":"post","link":"https:\/\/kyonissho.com\/kyos-blog\/blog\/2023\/08\/20\/base-x-tunings-for-instruments\/","title":{"rendered":"Base-X Tunings for Instruments"},"content":{"rendered":"\n

I’m setting my electric violin with base-\u221a3, because the frequency of base-3 is too high with the string of violin.<\/p>\n\n\n\n

When I\/you play the Glass Bead Game, the first generation exists in myself\/yourself and in power the flooding (God) always.
It is unique and ubiquitous because of the first generation.<\/p>\n\n\n\n

Now the common denominator of music and mathematics here from base-x; the norm.<\/p>\n\n\n\n

\"\"
fig.1.0. the difference of base-2 and base-\u221a3<\/figcaption><\/figure>\n\n\n\n

The link of fig.1.1~1.3:
I\u2019ve planned 300 hours for the details of Wiles\u2019 Proof of Fermat\u2019s Last Theorem.
I\u2019ve planned 300 hours for the details of Wiles\u2019 Proof of Fermat\u2019s Last Theorem. \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

\"\"
fig.1.1. fig.10.0 of the linked article.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.1.2. fig.10.11a of the linked article.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.1.3. fig.10.11b of the linked article.<\/figcaption><\/figure>\n\n\n\n

fig.1.3. fig.10.11a right:
I’ve drawn each \u03c8 in Galois field.
[0, 1<\/mark>0, 1<\/mark>00, … , \u221e<\/mark>]’s green<\/mark> means complement.<\/p>\n\n\n\n

Below I used \u4fe1\u53f7\u767a\u751f\u5668 (signal generator) for iPhone for the setting, I use MultiTone Generator PRO for iPhone for the programmed play. The both applications are excellent.<\/p>\n\n\n\n

When it is calculated with C \u2252 261.3Hz, the base-\u221a3 series is below as example.<\/p>\n\n\n\n

\"\"
fig.2.0. base-\u221a3’s tone generation from C \u2252 261.3Hz. generated by \u4fe1\u53f7\u767a\u751f\u5668 (signal generator) for iPhone.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.2.1. base-\u221a3’s tone generation from C \u2252 261.3Hz. generated by Calculator for iPhone.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.3.0. my electric violin.<\/figcaption><\/figure>\n\n\n\n

When it is calculated from base-2 A \u2252 440Hz to base-\u221a3 A \u2252 434.75 from base-2_G \u00d7 (\u221a3^(1\/12)) as for Violin, the base-\u221a3 series is below as example.<\/p>\n\n\n\n

\"\"
fig.3.1. base-\u221a3’s tone generation from A \u2252 434.75. generated by Calculator for iPhone.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.3.2. base-\u221a3’s tone generation from A \u2252 434.75. generated by Calculator for iPhone.<\/figcaption><\/figure>\n\n\n\n

Any imaginary number exists between base-2 and base-x, because only 2 is a prime number with the Galois’ imaginary number in itself.<\/p>\n\n\n\n

I think a guitar that the frets have been removed is played with base-x.<\/p>\n\n\n\n

\"\"
fig.4.0. base-2’s tone generation from C \u2252 261.3. generated by \u4fe1\u53f7\u767a\u751f\u5668 (signal generator) for iPhone.<\/figcaption><\/figure>\n\n\n\n
\"\"
fig.4.1. base-2’s tone generation from C \u2252 261.3. generated by Calculator for iPhone.<\/figcaption><\/figure>\n\n\n\n

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

Links:<\/p>\n\n\n\n

The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game.
The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game. \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2)
The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2) \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (3)
The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (3) \u2013 Kyo\u2019s Blog (kyonissho.com)<\/a><\/p>\n\n\n\n

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

(C) Copyright 2023 Kyo Nissho (Kiyom Nishio). All rights reserved.<\/p>\n","protected":false},"excerpt":{"rendered":"

I’m setting my electric violin with base-\u221a3, because the frequency of base-3 is too high with the string of violin. When I\/you play the Glass Bead Game, the first generation exists in myself\/yourself and in power the flooding (God) always.It is unique and ubiquitous because of the first generation. Now the common denominator of music […]<\/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":[3,4,5],"tags":[],"class_list":["post-4113","post","type-post","status-publish","format-standard","hentry","category-power-structured-to-revive","category-record","category-study"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/4113","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=4113"}],"version-history":[{"count":4,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/4113\/revisions"}],"predecessor-version":[{"id":4171,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/posts\/4113\/revisions\/4171"}],"wp:attachment":[{"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/media?parent=4113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/categories?post=4113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kyonissho.com\/kyos-blog\/wp-json\/wp\/v2\/tags?post=4113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}