53 equal temperament

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Topic: 53 equal temperament

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	Twelve-Tone Musical Scale
		The Equal Temperament Scales Spreadsheet (MS Excel) shows all the ET scales from 2 to 53 tones, and allows you to see how well they match the "ideal" intervals of your choice.
		The modern equal temperament system was invented (in the 1500s) to solve this problem.
		The pure intervals smaller than or equal to an octave that are commonly considered to be consonant are:
	thinkzone.wlonk.com /Music/12Tone.htm (790 words)

	Twelve-Tone Musical Scale
		The Equal Temperament Scales Spreadsheet (MS Excel) shows all the ET scales from 2 to 53 tones, and allows you to see how well they match the "ideal" intervals of your choice.
		The modern equal temperament system was invented (in the 1500s) to solve this problem.
		The pure intervals smaller than or equal to an octave that are commonly considered to be consonant are:
	thinkzone.wlonk.com /Music/12Tone.htm (789 words)

	LucyTuning, meantone, equal temperament
		In 12-note equal temperament, where every fifth is narrow by 1/12 of a ditonic comma, the large interval ("whole step") is exactly the size of two small intervals ("half step").
		This is a brief comparison among three varieties of meantone temperament: "LucyTuning," 1/4 syntonic comma meantone, and 12-note equal temperament.
		LucyTuning compared with 1/4 comma meantone and 12-note equal temperament
	www-personal.umich.edu /~bpl/templucy.html (600 words)

	Music and Physics
		Note for note, there is not much difference between Thomas Young's temperament and equal temperament (at most 9% of a semitone).
		It is interesting that the 53-note equal-tempered scale has the lowest number of notes with coefficient 1, and more notes than 2, since the 5-note and 12-note equal-tempered scales both have coefficent 2.
		Note that an edge can be seen as a 2-sided polygon, just as a triangle is a 3-sided polygon, so you could say that a tetrahedron has 10 = 4 + 6 "faces".
	www.innerx.net /personal/tsmith/musPhys.html (600 words)

	Recommended Listening - Microtonal, Just Intonation, NTET Equal tempered, Well temperament, etc.
		(Ensoniq sampler, Yamaha FM synthesizer, 9 to 53 tone equal temperament) A series of etudes exploring the new moods possible with non-12 equal temperament from the father of Xenharmonics.
		Their first album seems to take its cue from the Asian flavored music of Lou Harrison, while the second album explores a broad pallette of classical, folk and rock.
		The title track is the most hauntingly beautiful song I've heard in any tuning.
	www.microtonal-synthesis.com /reclist.html (742 words)

	Stichting Huygens-Fokker: Logarithmic Interval Measures
		The tuning of Turkish classical music is Pythagorean which lends itself well to be approximated by 53-tone equal temperament, see comma.
		In regular meantone temperaments where the tempering of the fifth is expressed in a fraction of a comma, the comma is the syntonic comma.
		The notation systems of Arel, Ezgi and Yektâ Bey have special accidentals for the 1/53 octave comma and multiples of it.
	www.xs4all.nl /~huygensf/doc/measures.html (2184 words)

	wikien.info: Main_Page
		The musical interval of an Augmented fifth is. It is the inversion of the diminished fourth, and in twelve tone equal temperament is enharmonically equal to a minor sixth.
		Augmented tridiminished icosahedron Type Johnson Faces 7 triangles3 pentagons Edges 18 Vertices 10 Vertex configuration 1 of 333 of 33.53 of 32.523 of 3.52 Symmetry group C3v Dual polyhedron Properties convex In geometry, the Augmented tridiminished icosahedron is one of the Johnson s..
		An augmented assignment is generally used to replace a statement where an operator takes a variable as one of its arguments and then assigns the result back to the same va..
	hostingciamca.com /browse.php?title=A/AU/AUG (2184 words)

	The Bohlen-Pierce Site: 271 Tone BP Scale
		The special status of mini-intervals in the order of 7 cents becomes obvious, and an equal temperament scale of 271 steps of 7.018 cents each is indeed a most exact approximation of all tones (enharmonics included) of the just BP scale, as shown above.
		In just intonation, these steps are not equal, and a and b definitely are members of this group.
		He lists two groups of scales with 43, 56, 69, 82 (the "n x 13 + 4" group) and 75, 88, 101 steps (the "n x 13 + 10" Group) respectively, favoring the 101-step version because it does for BP in terms of approximation accuracy what 53-step ET does for the traditional JI Western scale.
	members.aol.com /bpsite/271tones.html (722 words)

	Equal temperament
		Beta splits a perfect fourth into two equal parts, which creates a scale where each step is almost 64 cents.
		53-tET is much better still at approximating the traditional just intonation consonances, but has had very little use.
		Alpha does the same to a minor third to create a scale of 78 cent steps.
	www.sciencedaily.com /encyclopedia/equal_temperament (722 words)

	OpenHere - Music, Theory, Tuning Systems
		Explains the evolution of musical temperaments from the Pentatonic to 53-tone Equal Tempered scale.
		The musical temperament of Bach comprises within its circle 5 well tempered fifths and 7 perfect fifths
		New developed portativ for studying intonation and tuning systems
	www.openhere.com /music/theory/tuning-systems (107 words)

	Christoph Martin Wieland - Wikipedia, the free encyclopedia
		Of equal importance was Wieland's translation of twenty-two of Shakespeare 's plays into prose (8 vols., 1762-1766); it was the first attempt to present the English poet to the German people in something approaching entirety.
		Later Editions of Wieland's S�mtliche Werke : 1818-1828, 53 vols., 1839-1840, 36 vols., and 1853-1858, 36 vols.
		The qualities which distinguish his work, his fluent style and light touch, his careless frivolity rather than poetic depth, show him to have been in literary temperament more akin to
	www.wikipedia.org /wiki/Christoph_Martin_Wieland (107 words)

	LucyTuning, meantone, equal temperament
		This is a brief comparison among three varieties of meantone temperament: "LucyTuning," 1/4 syntonic comma meantone, and 12-note equal temperament.
		In LucyTuning, developed by Charles Lucy, the fifth is even narrower, to generate a large interval defined as 2^(1/(2*pi)), or about 190.99 cents, leaving a small interval of about 122.53 cents.
		Results generated using temperament spreadsheet v1.3, which see for explanation of the charts.
	www-personal.umich.edu /~bpl/templucy.html (600 words)

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Topic: 53 equal temperament

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