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Topic: Semitonium

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	JACSP2B TEXT
		Alias consimiles habere potest semitonium maius notificationes, ut quod est illa particula in qua tonus diesim vincit, ditonus semiditonum, tritonus diatessaron, tetratonus diapente, et, secundum Guidonem, quae, iuncta minori semitonio, tonum implet; et multas tales quae verae sunt.
		Tertio, quia minus semitonium in pluribus locis in compositione reperitur gammatis quam maius semitonium, exclusa falsa musica.
		Cum enim voces ipsius in spatio sunt vel linea, ut apparet ipsarum distinctio, plura requisita sunt signa vel littera alio et alio modo figurata; distinguuntur etiam in quibusdam aliis quae tangentur.
	www.music.indiana.edu /tml/14th/JACSP2B_TEXT.html (16746 words)

	Semitonium - One Language (Site not responding. Last check: 2007-10-14)
		In harmony, the semitonium is the ratio 17:16 — or 18:17 — between a pair of frequencies or, equivalently, the ratio 16:17 — or 17:18 — between a pair of wavelengths (or lengths of a monochord).
		The semitonium is also called minor second, or semitone.
		A tone is equal to a pair of semitones.
	www.onelang.com /encyclopedia/index.php/Semitonium (480 words)

	Semitonium
		In Pythagorean tuning, the semitonium is equal to the ratio 256:243 (which is specifically called limma), i.e.
		Of the two ratios given above for the semitonium, the ratio 18:17 is closer to the minor second of equal temperament.
		The reason is that, given that an octave should equal twelve semitones, then both
	www.mp3.fm /Semitonium.htm (216 words)

	toncist
		Primae et quartae et septimae litterae altrinsecus tonum attribuunt, secundae et quintae inferius tonum et supra semitonium, tertiae et sextae econverso, videlicet supra tonum, et inferius semitonium, non pretermittentes quandoque.b.
		Similiter omnes cantus quinti toni debent habere sub finali vel sub quinta semitonium, vel supra sextam tonum.
		Omnes autem cantus septimi toni debent habere sub quarta semitonium, et praeter hoc vel sub finali tonum, vel supra sextam semitonium: cuius plagalis semitonium sub quarta et tonum exigit sub finali.
	www.univ-nancy2.fr /MOYENAGE/UREEF/MUSICOLOGIE/toncist.htm (1768 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		Rursus ter 81, qui sunt 243, qui inter duos supra scriptos terminos collocentur hoc modo: 192, 216, 243, 256.
		Semitonium uero minus tertii ad quartum terminum comparatio tenet; quod si diatessaron quidem duorum tonorum est ac semitonii minoris, diapente uero trium tonorum ac semitonii minoris, iunctae uero diatessaron ac diapente unum diapason uidentur efficere, erunt quinque toni et duo spatia semitoniorum minora, quae unum tonum non uideantur implere.
		Semitonium igitur minus est A F, quod, substractis duobus touis F D, B D ab A B diatessaron [1236] spatio relinquitur.
	individual.utoronto.ca /pking/resources/boethius/De_musica.txt (17261 words)

	SALMUS4 TEXT
		Semitonium autem maius, quoniam diuiditur in tres sonos, et duo interualla, quae sunt Semitonium minus, et Diesis, duas etiam habebit species: alteram, cum Semitonium minus erit in acuto, et Diesis in graui; et alteram, cum Semitonium minus erit in grauiori, et Diesis in acutiori.
		Sed quae ab antiquis numerantur, incipiunt a [sqb] vt prima Semitonium habeat [-179-] in grauissimo interuallo, non tamen assequuntur, quod volunt; vt secunda illud habeat in medio, et tertia in acutissimo: sed contra accidit, vt secunda in actuissimo, et tertia illud habeat in medio.
		Sed nec ratio haec vndique videtur quadrare, quoniam secunda habebit illud in grauissimo, qui locus non dexter, sed sinister est Organa pulsantibus, atque ita digniorem locum habebit Semitonium in tertia, quam in secunda.
	www.chmtl.indiana.edu /tml/16th/SALMUS4_TEXT.html (16865 words)

	Philolaus
		quoniam tonus quidem diuiditur principaliter in semitonium minus atque apotomen.
		supra lin.] quod est unum semitonium minus et scismate [schismate corr.
		Sed unum semitonium minus diuiditur in duo diaschismata.
	tonalsoft.com /enc/p/philolaus.aspx (1934 words)

	"De cantu" - Bernardus Claraevallensis
		Ecce enim haec antiphona «Benedicta tu,» in quodam loco supra finalem tonum, postea semitonium naturaliter habet per B quadratum; alibi prius semitonium, deinde tonum per B rotundum.
		Omnes igitur cantus primae maneriae, id est primi vel secundi 1127A toni, termines, ut diximus, in D vel A. Omnes secundae maneriae, id est tertii et quarti toni, in E vel in B quadratum: quod licet tam authentorum quam plagalium naturaliter susceptivum sit; nullum tamen authentum in antiphonario reperies, quem in ipso terminare valeas.
		Est aliud valde indecens in utroque neumate: habet enim utrumque in suo principio plagalem elevationem, ascendens per tonum et semitonium, et moram faciens in quarta, sicut prorsus invenies in neumate octavi toni, qui plagalis est.
	www.binetti.ru /bernardus/24.shtml (4223 words)

	RAMMP1T2 TEXT
		In his quidem locis dicemus fa per semitonium a loco proprio depressum, sed istud [sqb] vel istud [signum] in c fa-ut, in f fa-ut, in c sol-fa-ut, in f fa-ut acuto et in c sol-fa, in quibus quidem locis dicemus mi per semitonium a loco proprio elevatum.
		Diapente vero quatuor modis fiet, quoniam quatuor continet intervalla, tres verum tonos unumque semitonium.
		Primus igitur modus habebit semitonium in secundo intervallo ut a e vel d h, sic et g l in coniuncto, h m in disiuncto et in eorum octavis.
	www.chmtl.indiana.edu /tml/15th/RAMMP1T2_TEXT.html (6660 words)

	Speculations on Marchetto of Padua's "Fifth-Tones", © 1997, 1998, 1999 by Joe Monzo (Site not responding. Last check: 2007-10-14)
		It is important to keep in mind that at this stage in the history of European music, notes were generally referred to as solfege syllables rather than as absolute-pitch letter-names, and accidentals referred not to absolute pitches but rather to mutations into new hexachords which would give the correct melodic interval sizes:
		Note that the nature of the diesis is best understood thru comparison with the chromatic semitone; much concerning the diesis will become clear as we demonstrate the nature of the chromatic semitone.
		Cromaticum semitonium est illud quod de quinque dyesibus quas habet tonus quatuor comprehendit, et, ut predicitur, semper cum dyesi tonum perficit.
	sonic-arts.org /monzo/marchet/marchet.htm (6161 words)

	bibliotheca Augustana (Site not responding. Last check: 2007-10-14)
		omnes autem voces in tantum sunt similes, et faciunt similes sonos et concordes neumas, in quantum similiter elevantur vel deponuntur secundum depositionem tonorum et semitoniorum: utputa prima vox A et quarta D similes et unius modi dicuntur, quia utraque in depositione tonum, in elevatione vero habent tonum et semitonium et duos tonos.
		secundus modus est in secunda B et in quinta E habent enim utraque in depositione duos tonos, in elevatione semitonium et duos tonos.
		sola vero septima G quartum modum facit, quae in depositione unum tonum et semitonium et duos tonos, in elevatione vero duos habet tonos et semitonium.
	www.fh-augsburg.de /~harsch/gui_epi.html (2354 words)

	Vincent Arlettaz: Musica Ficta. (II) Theorists (1)
		In hoc autem multi modernis temporibus sunt vitiosi, quoniam cum de re, per fa, in sol ascendunt, vix inter fa et sol, semitonium ponunt.
		Insuper cum sol, fa, sol, aut re, ut, re, pronuntiant, semitonium pro tono mittunt, et sic genus diatonicum confundunt, ac planum cantum falsifiant [sic; falsificant ?].
		Interrogati quidem qua ratione sit [ut] semitonium pro tono pronuntiant; pro auctoritate enim atque ratione, cantores de magnatorum capellis allegant.
	www.rmsr.ch /publications/arlettaz/musica_ficta/theorists.htm (1614 words)

	メルマガ・アーカイブ: No. 78 (via CobWeb/3.1 planetlab1.isi.jhu.edu) (Site not responding. Last check: 2007-10-14)
		a.C. ad.E.; tum semiditonus, qui habet tantum tonum et semitonium, ut a.
		quocumque modo duo sunt toni et unum semitonium, ut ab.A. ad.D. et a.
		voces tres sunt toni et unum semitonium, ut ab.A. [-105-] in.E. et a.C. in
	www.medieviste.org.cob-web.org:8888 /blog/archives/000738.html (179 words)

	Hexachords - Basic System
		In simplest terms, a hexachord is a set of six notes arranged to form intervals of two whole-tones, a central semitone, and two more whole-tones.
		We may represent this arrangement as T-T-S-T-T, with "T" standing for a whole-tone (Latin tonus), S for a semitone (semitonium).
		In Guido's system, as we shall see, these six notes of a given hexachord are assigned the syllables ut-re-mi-fa-sol-la, with the semitone always occurring between the syllables mi-fa.
	www.medieval.org /emfaq/harmony/hex1.html (2638 words)

	Discantus positio vulgaris
		[[Nota]] Item si firmus cantus ascendat per semitonium puta de (!E) graui in (!F) graue: et discantus sit in
		si autem econuerso descendat [[in firmo cantu]] per semitonium.
		Item si per semitonium cum diapente ascendat: tunc et ipse in semiditonum per secundam ascendit.
	www.uga.edu /thema/dpv-jer.html (1163 words)

	[No title]
		Nun pflegt dieser grobe Fäller am meisten zu geschehen, wann man in den Octaven oder in denen Quinten oder auch in denen Quarten sich irret und vergist, also, daß an stat der guten und gerechten man [p.
		41] die falsche und ungerechte nimbt, nemblich die umb ein halben Ton semitonium minus entweder zu groß oder zu klein seyn, und zwar, was die falschen Octaven anbelangt, seynd selbe niemahls zu entschuldigen;
		Dans chaque faux intervalle, se trouvent toujours deux notes contraires pareilles, c'est-à-dire une qui est dure et une autre qui est bémol ou douce; c'est pour cette raison que l'on appelle ceci mi contra fa.
	www.bassus-generalis.org /muffat/chromatische.html (1852 words)

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