Sinusoidal Master Dividend Interval Organ - CreCoProject/IntervallOrgels GitHub Wiki

This is the Sinusoidal Master Dividend Interval Organ Script. It is one of the Experiments with the Concept of Consonance. In this Experiment the Idea was a other Version of the Quotient. In this Idea every Quotient can been used when only the Denominator is mostly near to 1. This Idea has a big Problem when we use it with the possibility of Octave Transposition. Then every Interval will seam to become possible. Each Interval will become Possible in the Way the Overtone Scala will lead with higher Overtones to each Interval included the Dissonances. I hope this Script will inspired someone to make own Experiments and love this Script.

Sinusoidal Waves

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

https://www.encyclopediaofmath.org/index.php/Sinusoid

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

https://www.math.net/sinusoidal

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

Fourier Transform

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

https://www.encyclopediaofmath.org/index.php/Fourier_transform

https://en.wikipedia.org/wiki/Eric_W._Weisstein

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

Experiments

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

https://web.archive.org/web/20120603082327/http://openbookproject.net/electricCircuits/Exper/index.html

http://plato.stanford.edu/entries/physics-experiment/

https://www.e-teaching.org/didaktik/qualitaet/experiment

https://dorsch.hogrefe.com/stichwort/experiment

Experiments in Music

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

https://curlie.org/Arts/Music/Styles/E/Experimental

https://experiments.withgoogle.com/search?q=music

https://www.masterclass.com/articles/experimental-music-guide

https://study.com/academy/lesson/modern-experimental-music-glass-cage-use-of-silence.html

Consonance

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

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

https://web.archive.org/web/20160303203113/http://www.sohl.com/mt/maptone.html

https://www.studiobinder.com/blog/what-is-consonance-definition/

https://www.litcharts.com/literary-devices-and-terms/consonance

Dissonance

https://www.merriam-webster.com/dictionary/dissonance

https://dictionary.cambridge.org/dictionary/english/dissonance

https://www.dictionary.com/browse/dissonance

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

https://www.collinsdictionary.com/dictionary/english/dissonance

The Elements of Music

https://juliajooya.com/2020/10/11/what-are-the-8-elements-of-music/

https://wmich.edu/mus-gened/mus150/Ch1-elements.pdf

https://www.musictheoryacademy.com/how-to-read-sheet-music/the-elements-of-music/

https://www.twinkl.de/teaching-wiki/elements-of-music

https://www.amazon.de/Elements-Music-Melody-Rhythm-Harmony/dp/1904263720

Quotient

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

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

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

https://mathworld.wolfram.com/IntegerDivision.html#:~:text=Integer%20division%20is%20division%20in,and%20is%20the%20floor%20function.

https://www.iso.org/obp/ui/#iso:std:iso:80000:-1:ed-2:v1:en

Denominator

https://www.collinsdictionary.com/dictionary/english/denominator

https://www.merriam-webster.com/dictionary/denominator

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

https://www.cuemath.com/numbers/numerator-and-denominator/

Nominator

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

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

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

https://study.com/learn/lesson/numerator-concept-meaning.html

https://www.merriam-webster.com/dictionary/numerator

Octave Transposition

https://hubguitar.com/sight-reading/octaves-and-transposition

https://brebru.com/musicroom/theory/lesson18/octavetrans.html

https://mymusictheory.com/transposition/transposing-at-the-octave/

https://steinberg.help/cubase_pro/v10.5/en/cubase_nuendo/topics/transpose_functions /transpose_functions_transpose_track_keep_octave_range_r.html

https://www.youtube.com/watch?v=xCkcaV2tStw

Octave as Consonance

https://music.stackexchange.com/questions/21940/are-octaves-fifths-fourths-and-thirds-considered-as-consonant-in-all-music-c

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

https://study.com/academy/lesson/octave-definition-function-examples.html

https://hellomusictheory.com/learn/octaves/

https://www.classical-music.com/features/musical-terms/octave-meaning

Over Tone Series

https://en.wikipedia.org/wiki/Harmonic_series_(music)

http://www.huygens-fokker.org/docs/intervals.html

https://musicstudent101.com/46-the-overtone-series.html

https://www.oberton.org/en/overtone-singing/harmonic-series/

https://jazz-library.com/articles/overtone-series/

Intervals in the Over Tone Series

https://www.youtube.com/watch?v=0lmS5lQ5MSU

https://www.oberton.org/en/overtone-singing/the-harmonic-series-music/

https://musicpro.academy/fundamentals/tonality/learn-the-overtone-series/

https://www.beckydellmusicacademy.co.uk/the-harmonic-series/

https://jazz-library.com/articles/overtone-series/

Physics of the Over Tone Series

https://pages.mtu.edu/~suits/overtone.html

https://www.britannica.com/science/sound-physics/Overtones

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

https://www.youtube.com/watch?v=0FoA1bBM10M