The Rational Interval Organ - CreCoProject/IntervallOrgels GitHub Wiki

This is the Rational Interval Organ Script. It was made for another Experiment with the Theory of Consonance. In this actual Theory the Basis was a mostly simple Division. When the Sum of Numerators and denominators is mostly near 1 then the mostly Consonance is given. This Experiment was tried in two Steps. In the first Step I tried the Same sounds ( Triangular and Square Waves ) as in the Over Tone Organ. In a future Step I will come to a similar Experiment with easy Sinusoidal Waves. This is also the first Step which I made for Comparison with the Over Tone Organ.

Organ

https://www.classicfm.com/discover-music/instruments/organ/

https://viscountorgans.net/organ-musical-instrument-or-mechanical-monstrosity/

http://www.classichistory.net/archives/organ

https://www.yamaha.com/en/musical_instrument_guide/pipeorgan/mechanism/

https://www.mixtuur.com/en/types-of-musical-organs/

SuperCollider

https://de.wikipedia.org/wiki/SuperCollider

https://www.marekslipek.de/workshop/supercollider/index.html

https://doc.sccode.org/

https://learn.bela.io/using-bela/languages/supercollider/

https://www.audiosynth.com/

SuperCollider in Music

https://global.oup.com/academic/product/supercollider-for-the-creative-musician-9780197616994?cc=de&lang=en&

https://composerprogrammer.com/teaching/supercollider/sctutorial/tutorial.html

https://github.com/supercollider/supercollider

https://ccrma.stanford.edu/workshops/supercollider

https://scsynth.org/t/why-do-you-use-supercollider/2514

Consonance

https://courses.physics.illinois.edu/phys406/sp2017/Lecture_Notes/P406POM_Lecture_Notes/P406POM_Lect8.pdf

https://www.earmaster.com/music-theory-online/ch05/chapter-5-3.html

https://www.britannica.com/art/consonance-music

https://en.wikibooks.org/wiki/Music_Theory/Consonance_and_Dissonance

https://www.youtube.com/watch?v=DJsmjhSpD3I

Division

https://en.wikipedia.org/wiki/Division_(mathematics)

https://planetmath.org/division

https://web.archive.org/web/20090416010325/http://webhome.idirect.com/~totton/abacus/pages.htm#Division1

https://web.archive.org/web/20150503005432/http://webhome.idirect.com/%7Etotton/suanpan/sh_div/

http://www.math.wichita.edu/history/topics/arithmetic.html#div

Numerator

https://www.splashlearn.com/math-vocabulary/division/numerator

https://www.cuemath.com/numbers/numerator/

http://www.onlinedrumlessons.com/main/lessons-reading-timeSig.htm

https://steinberg.help/dorico/v2/en/dorico/topics/notation_reference/notation_reference_time_signatures_c.html

https://www.soundbrenner.com/blog/time-signatures-in-music/

Denominator

https://www.splashlearn.com/math-vocabulary/fractions/denominator

https://www.cuemath.com/numbers/denominator/

https://www.twinkl.de/teaching-wiki/denominator

https://www.khanacademy.org/math/cc-third-grade-math/imp-fractions/imp-what-fractions-mean/v/numerator-and-denominator-of-a-fraction

https://www.mathsisfun.com/definitions/denominator.html

Simple

https://www.simple.de/

https://dict.leo.org/englisch-deutsch/simple

https://de.wiktionary.org/wiki/simple

https://en.wiktionary.org/wiki/simple

Simple in Math

https://www.youtube.com/channel/UC05_iIGvXue0sR01JNpRHzw

https://www.sketchengine.eu/documentation/simple-maths/

https://www.ipracticemath.com/learn/basicmath

https://en.wikipedia.org/wiki/Simple_Math

https://www.indeed.com/career-advice/career-development/basic-math-skills

Simple Fractions

https://www.youtube.com/watch?v=AtBUQH8Tkqc

https://www.youtube.com/watch?v=GvLIEiqxS6s

https://www.youtube.com/watch?v=S9X9PaN8obg

https://www.mathsisfun.com/simplifying-fractions.html

https://www.calculatorsoup.com/calculators/math/fractionssimplify.php

Triangular Waves

https://mathworld.wolfram.com/TriangleWave.html

https://www.wikiwand.com/en/Triangle_wave

https://handwiki.org/wiki/Triangle_wave

https://pages.uoregon.edu/emi/13.php

https://www.statisticshowto.com/triangle-wave-function/

Rectangular Waves

https://en.wikipedia.org/wiki/Square_wave

https://en.wikipedia.org/wiki/Pulse_wave

http://pages.uoregon.edu/emi/14.php

https://pages.uoregon.edu/emi/14.php

https://link.springer.com/chapter/10.1007/978-1-349-13364-2_3

Sinusoidal Waves

https://en.wikipedia.org/wiki/Sine_wave

https://www.sciencedirect.com/topics/chemistry/sinusoidal-wave

https://mathematicalmysteries.org/sine-wave/

https://www.wallstreetmojo.com/sine-wave/

https://www.allaboutcircuits.com/video-tutorials/characteristics-of-sinusoidal-signals/

Comparison of Theories

https://link.springer.com/referenceworkentry/10.1007/978-94-007-0753-5_495

https://www.sciencedirect.com/topics/social-sciences/theory-comparison

https://english.wisc.edu/publications/comparison-theories-approaches-uses/