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	Diapente Viol Consort
		DIAPENTE is the ancient Greek and medieval name for the interval of a fifth, and originally means 'through five'.
		They called Diapente to life in 2001 in order to perform the most beautiful repertoire of the "golden age" of viol consort music.
		Using all instruments of the viol family in various combinations (here: treble, 2 tenors, bass and violone), Diapente seeks to bring out the charm, richness and beauty of its particular and idiomatic repertoire.
	diapenteviolconsort.tripod.com (0 words)

	Diapente (Site not responding. Last check: )
		In harmony, diapente is the ratio 3:2 between a pair of frequencies or, equivalently, the ratio 2:3 between a pair of wavelengths.
		Diapason is equal to 12 semitones, and diapente is equal to 7 semitones.
		Therefore it is possible to play the circle of fifths on a piano without wrapping it into a single octave, but rather playing it as a spiral of fifths.
	www.serebella.com /encyclopedia/article-Diapente.html (341 words)

	The Keys of Atlantis [1]
		Thus diatessaron is the interval from hypate to mese, diapente that from hypate to paramese and diapason that from hypate to nete.
		Diapente is also the difference tone between the notes defined by the second and third harmonics.
		The frequency ratio of the tone is calculated as the quotient of 2:3 (diapente) divided by 3:4 (diatessaron), and is equal to 8:9.
	www.odeion.org /atlantis/chapter-1.html (7348 words)

	Diapente
		In harmony, diapente is the ratio 3:2 (sesquialterum) between a pair of frequencies or, equivalently, the ratio 2:3 between a pair of wavelengths.
		Diapason is equal to 12 semitones, and diapente is equal to 7 semitones.
		Therefore it is possible to play the circle of fifths on a piano without wrapping it into a single octave, but rather playing it as a spiral of fifths.
	www.mp3.fm /Diapente.htm (0 words)

	Ancient Greek Origins of the Western Musical Scale
		The intervals of diatessaron or fourth (4 / 3) and diapente or fifth (3 / 2) when combined (multiplied) give the interval of a diapason or octave (2 / 1).
		This principle is illustrated in a detail from the painting School of Athens by Raphael (1483 - 1520) on the wall of the Stanza della Segnatura in the Vatican.
		In a diagrammatic representation of a lyra the strings are tuned in the relative proportions VI, VIII, VIIII, XII giving the intervals of an octave (diapason) between VI and XII, fifths (diapente) between VI, VIIII and VII, XII and fourths (diatessaron) between VI, VIII and VIIII, XII.
	www.midicode.com /tunings/greek.shtml (2097 words)

	Franchinus Gaffurius Glossemata (FR. GAFUR. gloss.)
		Cum ergo talis diatesseron intensa erit discordantia, supra ergo in se datur diapente consonantis: et compara extrema et patet quod exibit diapason dissonantia quia componitur ex dissonantia et consonantia, scilicet ex diatesseron dicta et diapente sequente.
		Diapente est inter 6 et 4, diatesseron vero inter 4 et 3, sed 3 et 4 praecedunt 6 et 4, ergo quaestio est falsa.
		Vel dicere possumus, quod prius et posterius est duplex, scilicet prius natura et prius dignitate, et tunc diatesseron est prius natura et tempore quam diapente, quia pars isto modo est prior toto, sed prius dignitate prior est diapente, quoniam perfectior est in natura et proportione.
	www.univ-nancy2.fr /MOYENAGE/UREEF/MUSICOLOGIE/glmur01.htm (1762 words)

	Science Fair Projects - Diapente
		In harmony, diapente is the ratio 3:2 (sesquialterum) between a pair of frequencies or, equivalently, the ratio 2:3 between a pair of wavelengths.
		It is the arithmetic mean of diapason and unison (considered as frequencies):
		In Pythagorean tuning, 12 diapentes are approximately equal to 7 diapasons:
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Diapente (397 words)

	Genera of Intervals
		The diapason plus diapente or twelfth is like the diapente in most all respects and is treated the same way.
		The two notes of the diapente have much in the way of similar qualities and thus the diapente must be used with care lest the two voices be heard as one.
		Note that when a diapente divides a diapason, the remaining interval is a diatessaron or fourth.
	ieee.uwaterloo.ca /praetzel/mp3-cd/extra/almond/basse/paper/intervals.html (1797 words)

	Sarasota, Florida - Van Wezel Performing Arts Hall - Festival Diapente From April 9th to April 15th!
		Festival Diapente, the perfect fifth, was founded with the recognition that Sarasota, Manatee, and the entire West Coast of Florida has a rich cultural landscape primed for continued harvest.
		Celebrate Diapente with world music, exotic cuisine, and interactive sense-ual experiences and, of course, beautiful models grooving to a fierce runway pulse.
		To honor this cityâs Festival Diapente celebration, join Chef Yves for a fun and fascinating cooking class where youâll discover that food, experienced through the five senses can be more satisfying and meaningful.
	www.vanwezel.org /boxOffice/event.cfm?eveID=474 (2448 words)

	Alchemy 1
		Thus earth and water bear to each other the ratio of 4 to 3, or the diatessaron harmony, and water and the sphere of equality the ratio of 3 to 2, or the diapente harmony.
		Fire and air also bear to each other the ratio of 4 to 3, or the diatessaron harmony, and air and the sphere of equality the ratio of 3 to 2, or the diapente harmony.
		As the sum of a diatessaron and a diapente equals a diapason, or octave, it is evident that both the sphere of fire and the sphere of earth are in diapason harmony with the sphere of equality, and also that fire and earth are in disdiapason harmony with each other.
	www.prs.org /gallery-alch.htm (2054 words)

	i-ro1380
		Et tunc ostendit quomodo una crescit ex altera, quia ex diapente et diatessaron simul iuncta facit et crescit diapason sicut in figura circulorum, ubi ostenditur quod proportio diapason componitur ex proportione, scilicet diatesseron et diapente.
		Et sic in illa figura triangulari, que est secundum progressionem numerorum, habentur omnes excessus proportionum multiplicium et etiam proporcionum superparticularium et etiam compositiones proportionum quomodo una componit aliam et quomodo una componitur ex alia sicut dyapason componitur ex diapente et diatesseron <101r> etiam simul iunctis.
		Sed secundus triplicatus in se, scilicet 72, producit 216 et sic de tertio numero et isti numeri haberent eandem proportionem inter se quam inveniunt primi numeri unde sunt producti et tot proportionalia media.
	www.lml.badw.de /info/i-ro1380.htm (1205 words)

	Tonus
		It is equal to diapente divided by diatessaron:
		This means that a diapente is equal to a diatessaron and a tonus, put together.
		See also: unison, diapason, diapente, diatessaron, ditonus, semiditonus, semitonium.
	www.knowledgefun.com /book/t/to/tonus.html (164 words)

	The Pythanorean Theory of Music and Color - The Secret Teachings of All Ages
		By similar experimentation he ascertained that the first and third string produced the harmony of the diapente, or the interval of the fifth.
		Continuing his investigation, Pythagoras discovered that the first and second strings produced the harmony of the diatessaron, or the interval of the third; and the tension of the first string being a third greater than that of the second string, their ratio was said to be 4:3, or sesquitercian.
		As the sum of a diatessaron and a diapente equals a diapason, or octave, it is evident that both the sphere of fire and the sphere of earth are in diapason harmony with the sphere of equality, and also that fire and earth are in disdiapason harmony with each other.
	www.phoenixmasonry.org /secret_teachings_of_all_ages/pythagorean_theory_of_music_and_color.htm (5156 words)

	HEIMUS TEXT
		Diapente namque, quae dimidio minoris numeri efficitur,.V. voces; diatessaron, quae tertia numeri minoris,.IIIIor.
		Diapason, diapente, diatessaron sunt simplices, compositae vero sunt diapason cum diapente, bisdiapason, diapason cum diatessaron.
		M Diapente et diatessaron in eo concordant, quod propriis et non per similes litteras circumscribuntur tropis quodque in medio alienis utuntur tropis; discordantiam autem eorum facile est videre.
	www.music.indiana.edu /tml/9th-11th/HEIMUS_TEXT.html (2278 words)

	[No title] (Site not responding. Last check: )
		DIAPENTE — der altgriechische und mittelalterliche Name für eine Quinte, dia pente bedeutet ursprünglich: durch fünf.
		So lässt DIAPENTE den einzigartigen Reichtum und die Schönheit der "sweet musicke": die bewegende Einfachheit, den musikalischen Humor und die eindrucksvolle Virtuosität von W. Byrd, J. Dowland, W. Lawes, J. Jenkins, H. Purcell erklingen.
		DIAPENTE spielte für das Label Channel Classics zwei Holborne Suiten und Consort Songs ein (in Zusammenarbeit mit dem Chor "The Gents" u.L.v.
	mitglied.lycos.de /Braumann/Diapentedeutsch.html (134 words)

	Feast for senses at Diapente
		Among his goals with Festival Diapente, Famiglio said, was to coordinate disparate art forms and sensibilities and show that they can work together in harmony, and even help support and nurture each other.
		Because the term "diapente" represents that perfect fifth, he explained, "we've extrapolated it to mean the five senses."
		Because Diapente overlaps slightly with the Sarasota Jazz Festival and other annual events -- many of which were in existence long before Festival Diapente's inaugural year -- Famiglio has been able to incorporate artists who are already coming to town into the Diapente proceedings.
	www.heraldtribune.com /apps/pbcs.dll/article?AID=/20060409/FEATURES/604090820 (0 words)

	Artists Represented at M Gallery of Fine Art in Sarasota FL Current News
		M Gallery of Fine Art and Chateau L’Hesperit will help open Sarasota’s Festival Diapente with a cocktail reception and exhibition of oil paintings by international artist Barry Sullivan on Wednesday, April 18, 2007 at 5:30 PM.
		The Chateau L’Hesperit is host to an annual Artist in Residence Program in collaboration with M Gallery.
		Barry Sullivan’s work covers a range of insights ranging from his emotionally provocative figurative compositions which display a Renaissance technical influence to his more direct response to the landscape and medieval architecture of the Dordogne wine vineyard region of southern France.
	www.mgalleryoffineart.com /news.php?id=12 (0 words)

	Cassiodorus: de Musica
		hyperiastius est hyperdorium hemitonio, lydium tono, aeolium tono semis, phrygium duobus tonis, iastium duobus semis tonis, hoc est diatessaron symphonia, dorium tribus tonis, hypolydium tribus semis tonis, hoc est diapente symphonia, hypoaeolium quattuor tonis, hypophrygium quattuor semis, hypoiastium quinque tonis, hypodorium quinque semis .
		hyperphrygius est hyperiastium hemitonio, hyperdorium tono, lydium tono semis, aeolium duobus, phrygium duobus semis, hoc est diatessaron symphonia, iastium tribus tonis, dorium tribus semis, hoc est diapente symphonia, hypolydium quattuor tonis, hypoaeolium quattuor semis, hypophrygium quinque, semis, hypodorium sex, hoc est diapason symphonia, praecedens.
		hyperaeolius est hyperphrygium hemitonio, hyperiastium tono, hyperdorium tono semis, lydium duobus tonis, aeolium duobus semis, hoc est diatessaron symphonia, diapente symphonia>, dorium quattuor tonis, hypolydium quattuor semis, hypoaeolium quinque tonis, hypophrygium quinque semis, hypoiastium sex tonis, hoc est diapason symphonia, hypodorium sex semis tonis .
	www.thelatinlibrary.com /cassiodorus/musica.shtml (1211 words)

	Amazon.com: "symphony diapente": Key Phrase page (Site not responding. Last check: )
		And that which is called the symphony diapente is conjoined by the ratio of 3 to 2.
		For just as those trained in the canons of the lyre declare the sesquialter proportion produces the symphony diapente, the double proportion the diapason, the sesquiterte the diatessaron, the slowest of all,...
		The weight of the first string being half again as much as the third, their ratio was said to be...
	www.amazon.com /phrase/symphony-diapente (527 words)

	Pythagorean Tuning - More details
		This interval is often known as a ditonus cum diapente or major third plus fifth, since it is equal to the sum of these intervals (or the product of their ratios).
		A common name for this interval is the semitonium cum diapente, or semitone-plus-fifth, and in fact it is equal to the sum of a fifth (3:2) and our diatonic semitone (256:243); multiplying these ratios yields 128:81.
		This interval is known as a semiditonus cum diapente or "minor-third-plus-fifth," and indeed is equal to 32:27 x 3:2, or 16:9.
	www.medieval.org /emfaq/harmony/pyth4.html (11001 words)

	Amazon.ca: Gentlemen O/T Chapel Royal: Music: Gents,Dijkstra (Site not responding. Last check: )
		The particular imperial place of worship is that of Queen Elizabeth I, and the CD contains some twenty short pieces by composers such as Thomas Tallis, William Byrd, Anthony Holborne, and the Italian father and son Alfonso Ferrabosco I and II.
		The performances on this disc are all first-rate; not only are they as historically accurate as we can know, but more importantly for most of us, they are thoroughly satisfying both emotionally and musically.
		The Diapente Viol Consort is joined on two numbers by countertenor soloists, again, in wonderful performances.
	www.amazon.ca /Gentlemen-O-T-Chapel-Royal/dp/B000071WF1 (509 words)

	MTO 3.1: Review of
		Although the diapason has yet to be defined in the treatise as a 2:1 proportion, it may be noted that "ratio," rendered appropriately here as "method," also has overtones of "ratio," a mathematical relationship, a meaning made explicit in the third part of the SE.
		This is done so that, when the organal voice is doubled at the diapason and the principal voice is the middle voice, the lower organal voice is separated from the middle voice by a fifth and from the upper voice by a fourth, which is the first composite form of the diapente.
		Subsequent passages with parallel language on the second composite type of diapente organum and on organum at the diatessaron should be similarly emended.
	mto.societymusictheory.org /issues/mto.97.3.1/mto.97.3.1.fuller.html (2564 words)

	diapente - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "diapente" is defined.
		diapente : Encarta® World English Dictionary, North American Edition [home, info]
		Diapente : Online Plain Text English Dictionary [home, info]
	www.onelook.com /?loc=rescb&w=diapente (125 words)

	ANOQUO TEXT
		Ideo etiam infra sesquitertium idem diatessaron non potest coaptari, quia cum diapason V. tonorum et duorum semitoniorum, diapente trium tonorum et unius semitonii, diatessaron duorum tonorum et unius semitonii capax est, in duobus diapason quatuor troporum quaterna positio invenitur.
		Omnis ergo diatessaron vel diapente vel diapason species a quovis tropo, cuius est, incipit, et in eundem desinit.
		[-59-] Subiugales diatessaron infra, diapente supra, authentici autem diapente infra, diatessaron habent supra.
	www.chmtl.indiana.edu /tml/9th-11th/ANOQUO_TEXT.html (1773 words)

	Sarasota Now!: Festival Diapente: a fest for the senses
		Sarasota, situated on the Gulf Coast of Florida, has so much to offer, from charity and cultural events to top-notch resorts and restaurants.
		Festival Diapente, the perfect fifth, has something for everyone.
		With live bands, performances, and fireworks, the party begins at 10 PM and continues over to G. Wiz Science Museum where big kids can enjoy the hands-on science exhibits.
	www.busybsrq.com /2006/04/festival-diapente-fest-for-senses.html (475 words)

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