The OverToneSelectOrgel - CreCoProject/IntervallOrgels GitHub Wiki

This was the OverTone Select Orgel a Experiment with SuperCollider to explain the Theory of Over Tones as a Criteria for Consonance. The Idea behind this Theory of Consonance is that there are more Consonance between two Tones when they share much more Over Tones. Over Tones are the partial Sinusoidal Waves in which a Tone can been transformed with the Fourier Transform. This Translation are different between varied Tone Colors. In this Experiment I use Triangular and Square Waves. So this use should affect the Possible Consonances in Music with this Tones. I hope anybody will listen to the Results of this Script and become inspired to try his own Experiments to test the different Possibilities of Consonance Theory

Over Tones

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

http://www.sengpielaudio.com/calculator-harmonics.htm

https://www.learner.org/series/exploring-the-world-of-music/timbre-the-color-of-music/

http://www.muratyakin.com/BUDK-Dersler/2016Guz/Kompozisyon%20Semineri/2016-10-04_MAKALE02_FinebergJoshua-Guide_to_the_Basic_Concepts_and_Techniques_of_Spectral_Music.pdf

https://fretsource-guitar.weebly.com/natural-harmonics-map.html

SuperCollider

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

http://supercollider.github.io/

https://dx.doi.org/10.1162/014892602320991383

http://lac.linuxaudio.org/2010/papers/32.pdf

http://lac.linuxaudio.org/2010/papers/32.pdf

Consonance in Music

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

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

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

https://web.archive.org/web/20050411060050/http://dactyl.som.ohio-state.edu/Music829B/bibliography.html

http://www.lucytune.com/midi_and_keyboard/dissonance.html

Resonance

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

https://feynmanlectures.caltech.edu/I_23.html

http://www.lightandmatter.com/html_books/lm/ch18/ch18.html

http://hyperphysics.phy-astr.gsu.edu/hbase/sound/rescon.html#c1

http://users.ece.gatech.edu/~mleach/misc/resonance.html

Theories of Consonance

http://www.avatar.com.au/courses/PPofM/consonance/con1.html

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

http://www.robertcunninghamsmusic.com/PDFs/Helmholtzs_Theory_of_Consonance.pdf

https://www.mtsu.edu/faculty/wroberts/teaching/consonance.php

https://www.jstor.org/stable/427328

Applications of Consonance in Music

https://yousician.com/blog/consonance-dissonance

https://www.useyourear.com/blog/consonance-and-dissonance-in-music

https://www.frontiersin.org/articles/10.3389/fpsyg.2018.00381/full

https://pure.mpg.de/rest/items/item_3257902/component/file_3257903/content

https://www.sciencedirect.com/science/article/pii/S0960982210003702

Resonance

https://www.britannica.com/science/resonance-vibration

https://www.physicsclassroom.com/class/sound/Lesson-5/Resonance

https://www.quantamagazine.org/how-the-physics-of-resonance-shapes-reality-20220126/

https://study.com/learn/lesson/resonance-characteristics-causes-theory.html

https://www.studysmarter.co.uk/explanations/physics/waves-physics/resonance-in-sound-waves/

Fourier

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

http://www.genealogy.ams.org/id.php?id=17981

http://www.thefamouspeople.com/profiles/joseph-fourier-547.php

http://www-history.mcs.st-and.ac.uk/Biographies/Fourier.html

https://www.spektrum.de/wissen/joseph-fourier-1768-1830/1156113

Fourier Transform

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

https://commons.wikimedia.org/wiki/Category:Fourier_transformation

https://encyclopediaofmath.org/wiki/Fourier_transform

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

https://www.thefouriertransform.com/

Fourier Transform in Music

https://avikabra.medium.com/the-application-of-fourier-transforms-in-music-88862f44ed26

https://scholarworks.umt.edu/cgi/viewcontent.cgi?article=1389&context=tme

https://www.projectrhea.org/rhea/index.php/Fourier_analysis_in_Music

https://en.wikipedia.org/wiki/Time%E2%80%93frequency_analysis_for_music_signals

https://link.springer.com/book/10.1007/978-3-319-45581-5

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.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwjM6qzg7ciCAxWw7rsIHYnXDT4QFnoECBEQAQ&url=https%3A%2F%2Fwww.investopedia.com%2Fterms%2Fs%2Fsinewave.asp&usg=AOvVaw0kkdEyqgmTed7qtB4iVBt-&opi=89978449

Colors in Music

https://www.soundoflife.com/blogs/experiences/seeing-sound-hearing-colours-exploring-the-concept-of-chromesthesia

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

https://www.thomann.de/blog/en/synaesthesia-colours-in-music/

https://www.youtube.com/watch?v=N9nWMDT2K8w

Colors of Sounds

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

https://web.archive.org/web/20050720074308/https://mv.lycaeum.org/M2/noise_ahf.html

https://mynoise.net/NoiseMachines/whiteNoiseGenerator.php

https://composerfocus.com/different-types-of-noise/

https://sciencenotes.org/colors-of-noise-white-pink-brown-and-more/

Triangular Waves

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

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

https://www.electronics-notes.com/articles/basic_concepts/electronic-electrical-waveforms/triangular-waveform.php

https://www.sfu.ca/sonic-studio-webdav/handbook/Triangle_Wave.html

https://madpcb.com/glossary/triangular-wave/

Square Waves

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

https://www.geogebra.org/m/wUanseCs

http://sara.ng/apps/square-wave

http://www.electric1.es/armonicos/armonicosOC.html

https://www.electronics-notes.com/articles/basic_concepts/electronic-electrical-waveforms/square-waveform-rectangular-pulsed.php