# Just and other tunings

Microtonality, Tunings and Modes. There is still a lot of good music waiting to be written in C major. — Arnold Schönberg One of the most liberating aspects about using a computer to compose music is that non-traditional “frequency space” can be explored in different ways without having to address the limitations of physical instruments or human performers.

This sort of experimentation may involve working with raw, untempered Hertz values, just harmonic ratios, microtonal inflections, or “alternate” tuning systems, which we define very broadly to mean any tuning system other than the standard 12-tone equal tempered scale. But working with an expanded frequency space using MIDI synthesizers will quickly expose a strong bias of MIDI towards the popular music tradition and the Western tonal system in general. MIDI and Microtonal Tuning There are two basic methods for producing microtonal sound on a MIDI synthesizer. Channel Tuning Note by note tuning. Egyptian Fractions. 1 Egyptian Fractions The ancient Egyptians only used fractions of the form 1/n so any other fraction had to be represented as a sum of such unit fractions and, furthermore, all the unit fractions were different!

Why? Is this a better system than our present day one? In fact, it is for some tasks. This page explores some of the history and methods with puzzles and and gives you a summary of computer searches for such representations. This page has an auto-generated Content section which may take a second or two to appear. Pythagorean tuning. The syntonic tuning continuum, showing Pythagorean tuning at 702 cents.[1] Diatonic scale on C Play 12-tone equal tempered and Play just intonation.

Where Math meets Music. Where Math meets Music Ever wonder why some note combinations sound pleasing to our ears, while others make us cringe?

To understand the answer to this question, you’ll first need to understand the wave patterns created by a musical instrument. When you pluck a string on a guitar, it vibrates back and forth. This causes mechanical energy to travel through the air, in waves. The number of times per second these waves hit our ear is called the ‘frequency’. LucyTuning*LucyScaleDevelopments*Pi tuning*LucyTuned Lullabies*John "Longitude" Harrison. Setting tuning and harmonic standards into the future.

Have fun with them. LucyTuned Lullabies (from around the world) New LucyTune site (May 2005) BBC Radio 4 interview with Robert Sandall about LucyTuning mp3 - (3min 54 seconds) LucyTuning - musical tuning, harmonic, composition, practice, specifications, and theory. Here’s Why You Should Convert Your Music To 432 Hz. “If you want to find the secrets of the universe, think in terms of energy, frequency and vibration.” – Nikola Tesla“What we have called matter is energy, whose vibration has been so lowered as to be perceptible to the senses.

There is no matter.” – Albert Einstein Tesla said it. Einstein Agreed. Science proved it. It is a known fact that everything—including our own bodies—is made up of energy vibrating at different frequencies. The science of Cymatics illustrates that when sound frequencies move through a particular medium such as water, air or sand, it directly alters the vibration of matter. Microtonality, Tunings and Modes. Xenharmonic (microtonal wiki) - 31edo. Danielou Universal Scale. Each entry includes the ratio, cents error relative to nearest tempered (so, for example, 3/2 is +2.0c relative to note #42), tempered note # (0-71), keyboard # (0-5), key # (0-11), where keyboards 1 -5 are~ assumed progressively [17¢ globally] sharper relative to keyboard 0 [which are all 12-tET].

Tues., 1 May 2001 from "Canright, David" www.alaindanielou.org Maurice Courant allows himself to write: "Needless to say, the sixty degrees in the octave are scarcely perceptible and are difficult to realize, a slight difference of temperature bringing a significant variation in the sound compared with the interval of two successive degrees. 22 Shruti - Homepage. An Infinite Continuum of Music. More Complicated Temperaments. Before equal temperament was generally adopted, other schemes were used which allowed music to be played in all twelve keys with acceptable results, even if each key had its own unique flavor.

The Creation of the Musical Scale. The Creation of Musical Scales from a mathematic and acoustic point of view, Part II, by Thomas Váczy Hightower My first search was to look at musical practice in ancient times, not only in Europe but all over the world.

Anatomy of an Octave. CommonChordsOfJustIntonation.pdf. Chords in Equal Temperament and Just Intonation. LucyTuning*LucyScaleDevelopments*LucyTuned Lullabies*Pi tuning*John Longitude Harrison. Cmj98. XENTONALITY. Every sound has an internal structure that determines its tone quality or timbre. When the larger structure of the music (the musical scale) reflects this internal structure, then the timbre and the tuning are related in a fundamental way. XENTONALITY. Bohlen–Pierce scale. Chord from just Bohlen–Pierce scale: C-G-A, tuned to harmonics 3, 5, and 7.

"BP" above the clefs indicates Bohlen–Pierce notation. Play. Temperaments and tuning systems. Temperaments and tuning systems. Temperament: A Beginner's Guide. Temperament: A Beginner's Guide Stephen Bicknell oneskull@dircon.co.uk April 25, 1997 Revised May 14, 1997.

## Just

Partch. An Introduction to Historical Tunings. Or if G vibrates at 100 cycles per second, then B vibrates at 125, and so on. Relating Tuning and Timbre. This is the full text of the article (more or less) as it first appeared in Experimental Musical Instruments. Makam. Tuning Timbre Spectrum Scale.