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Index

Adam of Fulda, 71, 149 Ars musyce armonie, 54 Aegidius de Zamora, 53 Assolari, Alessandro, 186 affinitas, 24, 25, 30, 33, 110, See also affinity, Atlas, Allan, 21 theory of Augustine of Hippo (Aurelius Augustinus), affinity, theory of, 20, 30, 60, 103 119, 120, 126, 161 in Guido of Arezzo, 25, 30–36, 41 Aurelianus Reomensis (Aurelian of Réôme) in the Musica enchiriadis, 35–36 Musica disciplina, 126, 127 A-G letters, 4, 19–21, 20, 25, 26, 28–29, 31, 35, 46, 52–54, 56–59, 62, 76–81, 80, 82–83, Babb, Warren, 32, 34, 44, 46, 55 86–89, 90–91, 93–96, 98–106, 110, 111, Bacchius senior, 194 112–13, 119, 129, 136–38, 142, 144, 146, Bach, Johann Sebastian, 19 151–52, 155–58, 161, 163, 164, 166, Baltzer, Rebecca, 83, 84 167–73, 176–78, 181, 183, 189–93, 194, Barbo, Ludovico, 123, 128 204, 205, 207, 209–10, 214, 234–35, 251, Barocchi, Francesco, 249 See also clavis, littera, keys Barzizza, Gasparino, 121–122 Alençon, Philippe d’, 117 Becker, Adolf, 55 Alighieri, Dante, 160 Bede the Venerable, 126 Allaire, Gaston, 21–23, 24, 29, 59 Beethoven, Ludwig van, 112 Amalarius of Metz, 126, 127–28, 133 Bent, Margaret, 5, 20–21, 122, 123 ambages, 159–61 Berger, Christian, 22, 24, 36 Ambros, August Wilhelm, 25 Berger, Karol, 4, 5, 20, 62, 97, 98, 130 Ambrose, bishop of Milan, 120, 149, 219 Berkeley Anonymous, 96, 209, Amerus/Aluredus, 83 See also Goscalcus Practica artis musicae, 53, 74, 83, 88, 90–93, Bernard of Clairvaux, 52, 80, 126 98, 108, 181 Bernardus. See Berno of Reichenau André, Marc, 122–23 Bernhard, Michael, 7, 44, 54 Angeloni, Luigi, 255 Berno of Reichenau, 54, 126 Anglicus, Bartholomaeus, 71 Blackburn, Bonnie, 5, 12, 21, 34, 53, 79, 82, 83, Anonymous of St. Emmeram, 84 143, 165, 208 Anonymous XI Blockland de Montfort, Corneille, 95 Tractatus de musica plana Boen, Johannes, 71 et mensurabili, 95 Boethius, Anicius Manlius Severinus, 71, 88, antiqua musica, 123 126, 148, 174, 183, 210, 213, antiqui auctores, 121–28 215, 224, 248 Apuleius De institutione musica, 50, 71, 119, 143–44, Metamorphoses, 224 146, 245, 249 Aristotle, 87, 192 Bower, Calvin, 35, 50, 162 Posterior Analytics, 248 Brandi, Antonio, 255 Problems, 125 Brothers, Thomas,4 , 24 theory of memory, 88 Brown, Howard Meyer, 238 Aron, Pietro, 208, 227 Bruni, Leonardo, 225 Ars et modus pulsandi organa, 54 Burney, Charles, 112, 254 Ars musyce, 54 Bursfeld Congregation, 13 279

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280 Index

Burtius, Nicolaus, 14, 142, 143, 147, 163, deductio, 2–4, 26, 82, 87, 95, 96, 97, 104, 164–171, 173, 174, 175, 179, 181, 182, 138, 159, 186, 203, See also hexachord, 185, 186, 194, 206, 208, 216, 247, 253 proprietas Musices opusculum (Florum libellus), 141, as a six-syllable unit, 110, 181, 185 164, 166, 167, 170, 173, 175, 176, 179, 216 as cantus, 138 on mutation, 164–66 in Gafori’s Practica musicae, 186–92, 193, Busse Berger, Anna Maria, 5 210, 212 Degrada, Francesco, 222 Camerata de’ Bardi, 146 della Viola, Francesco, 231, 233 Cantus quem Cisterciensis, 52 Denis the Carthusian, 128 Cardinal Ottoboni Fieschi, 83 Desprez, Josquin, 11, 12, 19, 23 Cattin, Giulio, 123 devotio moderna, 128 Caza, Francesco, 222 diapason, 9, 51, 99, 101, 103, 137, 139, 145, Cerone, Pietro, 95 151, 183, 213–14, 228, 232, 236–37, 244, Cesari, Gaetano, 177 See also octave Chafe, Eric, 9, 10–11, 24 diapente, 36, 37, 39, 46, 51, 101, 110, 139, 181, Chailley, Jacques, 1 201, 213, 215, 241 chorda (chordae), 182, 192, 208, 214, 232, 236, diatessaron, 39, 101, 139, 171, 172, 240 201, 213, 215, 228, 240, 241, 245, Cicero, 62, 119, 205 See also tetrachord Ciconia, Johannes, 13–14, 112–13, 117–18, diatonic species, 25, 37, 41, 46, 50, 60, 100, 119–20, 122, 123, 124, 126, 127, 128, 132, 111, 112, 122–24, 125, 126, 129, 139, 145, 135, 138, 143, 148, 152, 163, 216, 227, 253 146, 167–73, 176, 206, 212–13, 215, 228, Nova musica, 117, 118, 120, 121–30, 122, 230, 232, 235, 237, 239, 240, 244, 245 123, 124, 126, 127, 129, 131, 133, 143 diatonic system (gamut, musica recta, musica pedagogical program of, 121–30 vera, Tonsystem), 27, 28, 29, 34, 36, 37, clavis (claves), 7, 20, 26–29, 90–93, 99, 103, 41, 42, 45, 58, 71, 108, 111, 113, 146, 157, 104, 107–108, 136, 137–38, 157, 210, 159, 205, 210, 211, 245, 256 See also litterae; A-G letters; keys Diruta, Girolamo, 238 clef, 7, 157 Duffin, Ross, 111–112 Clercx, Suzanne, 123 Dyer, Joseph, 44, 84, 87, 133, 135 Cochlaeus, Johannes, 227 Cohen, David, 21, 30, 34, 36, 37, 50 ecclesia primitiva, 120, 161 Collins Judd, Cristle, 194, 232, 248 Eger von Kalkar, Heinrich computus, 129 Cantuagium, 162, 163 Conagus, Lucinus, 220 Ellinwood, Leonard, 39, 263 Congregation of St. Giustina, 80, 123 Ellsworth, Oliver, 96, 97, 122, 124, 143, 209 coniuncta, 95–98 Engelbert of Admont, 83, 99, 101 Conrad of Zabern, 13, 129, 133, 135–36, 137, Erasmus of Rotterdam, 119, 135 138, 139, 140, 146 Erfurt cento, 55 De modo bene cantandi, 132–35 Euclid Novellus musicae artis tractatus, 132, 136–40 Elementa, 249 Opusculum de monochordo, 132, 139–40 Evrart de Conty, 125 contemptus mundi, 162 Council of Constance, 119 Falchi, Michele, 255 Coussemaker, Edmond de, 98, 142 Fasola system, 157 Crocker, Richard, 19–20, 21, 29, 36, 37, 39, Fast, Susan, 122 41–43, 233–35 Fend, Michael, 249 Curtius, Lancinus, 220 Ficino, Marsilio, 223 Filelfo, Francesco, 204 Dahlhaus, Carl, 8, 23–24, 29 Franco of Cologne, 149, 163 Decembrio, Pier Candido, 225 Ars cantus mensurabilis, 149 Dederoth, Johannes, 132 Frescobaldi, Girolamo, 11

Index 281

Fulgentius of Affligem,44 149, 150, 151, 152, 157–59, 173, 175, 177, Fulgentius, Fabius Planciades, 124 178–79, 189, 203, 208, 224, 228, 229, 230, Mythologiarum, 124 231, 247, 253–54, 255 Fuller, Sarah, 24, 54, 148 Epistola ad Michahelem, 1, 27, 30, 31, 137, Fux, Johann Joseph, 112 152, 153, 179, 181 in Gafori’s Practica musicae, 204–11 Gabrieli, Andrea and Giovanni, 238 in Ramos’ Musica practica, 182–86 Gafori, Franchino, 14–15, 146, 148, 180, 182, Micrologus, 30, 34, 59, 60, 129, 131, 135, 202, 203, 207, 216, 217, 220, 222, 227, 136, 137, 149, 153, 155, 248 228, 230, 245, 252, 253–55 Prologus in antiphonarium, 1, 30, 179 De harmonia musicorum instrumentorum Regule rithmice, 1, 30, 31, 151, 155, 184 opus, 124, 220 Guido senior (Guido of Arezzo), 52 Extractus parvus musicae, 208 Guidonian Hand, 4, 19, 20, 21, 45, 46, 52, 53, modal theory in Practica musicae, 212–17 61–81, 88, 90, 91, 106, 130, 131, 135, Practica musicae, 14, 93, 124, 171, 173, 176, 136, 138, 139, 140, 143, 151, 155, 180, 182, 186–92, 193, 194, 202, 204, 205, 157, 159, 256, 274, See also manus, 206, 207, 208, 215, 216, 217, 219, 220, palma 221, 222, 223, 225, 227, 230, 245, 247, 254 guidonistae, 121, 124, 129, 130, 135, 143, 152 recasting solmization theory, 212 Gümpel, Karl-Werner, 132, 135, 136, 137, 138, The Theory of Music, 179 139, 140 Theorica musicae, 151, 176–80, 177, 179, 204, 209, 210, 211, 212, 220, 222 Haar, James, 180, 207, 222 Theoricum opus, 177, 178, 204, 222, 223 Haggh, Barbara, 117, 123, 127 Gallico, Claudio, 120, 143 Hallmark, Anne, 117 gamut, 1, 2, 4, 5, 8, 19, 20, 21, 22, 24, 25, 27, 30, Handschin, Jacques, 24, 25, 28, 30, 54 32, 33, 34, 35, 41, 45, 46, 50, 51, 54, 55, Hawkins, John, 112, 254–255 59, 61, 71, 76, 77, 82, 86, 88, 90, 95, 96, 97, Haydn, Franz Joseph, 112 98, 101, 103, 104, 105, 110, 111, 140, 145, Henderson, Robert, 87 151, 155, 156, 157, 159, 171, 173, 174, Herbenus Traiectensis, 149, 161 183, 185, 191, 192, 204, 206, 207, 208, Herlinger, Jan, 21, 74, 95, 98, 128 210, 211, 212, 228, 230, 237, 245, 247, Hermannus Contractus, 13, 19, 34, 36–43, 248, 250, 251, 252 110, 247 Garin, Eugenio, 225 hexachord (hexachordum, proprietas, Geert de Groote, 162 deductio) Gerbert, Martin, 44, 59 as a diatonic yardstick, 5, 10, 11–15, 19, Gerson, Jean, 120, 121 21–29, 36, 37–39, 42, 59, 86, 97, 111, 113, Gianfrancesco Gonzaga, 176 173, 205, 230, 249, 250, 251, 252, 254, Giovanni del Lago, 208, 210 255–56 Glareanus, Henricus, 146, 148, 215, 216, as a music-analytic tool, 8, 10, 22, 24, 36, 230–31, 235, 238, 239, 247 59, 256 Dodecachordon, 146, 235, 239 as an expansion of tetrachordum, 14, 32–36, Goscalcus, 71, 95 38, 204, 251, 254 Gregory the Great, 113, 120, 126, 148, 149, as marker of a music-historical 150, 163, 194, 209–10 era, 1, 8, 253 Guarino da Verona, 119 as synonym for proprietas, 204–07 Guido Augensis (Guido of Eu), 51–53 in Guido’s theory of affinity,32 –36 Regule de arte musica, 52, 80 in modal theory, 20, 22, 37–39, 40–41, Guido junior (Guido Augensis), 52 230–48 Guido of Arezzo, 1, 5–8, 13–15, 19, 20, 25, in relation to deductio, 26 26, 30–37, 41–43, 44, 45, 46, 52–53, 55, to designate the interval of a sixth, 4, 97, 58–62, 73, 74, 81, 82–83, 86, 91, 93, 94, 110, 128, 227–30 99–100, 101, 103–05, 106, 108, 109, 110, to designate the ut-la syllables, 82, 110, 111, 123, 126, 129, 137, 143–44, 146–55, 148, 252

282 Index

hexachordal system, 4, 36, 82, 141, 248 Ritus canendi vetustissimus et novus, 133, as a music-analytic tool, 8–11 141, 142, 144, 145, 146, 151, 152, 153, as a music-semiotic system, 104–09 154, 155, 156, 157, 158, 162, 167, 170, as the organizing principle of the gamut, 173, 174, 177, 184, 216 251, 254 Johannes Hollandrinus (Johannes as the structuring principle of the gamut, 8, Valendrinus), 83, 102, 149 25, 27, 94, 250, 251, 253 John of Tewkesbury thirteenth-century formulation of, Quatuor principalia, 149, 150 82–94 John Wycliffe,128 Hieronymus de Moravia, 83, 95, 149 Josquin Desprez, 8, 12, 20 Tractatus de musica, 76, 83, 149 Jubal, 149 Hirshberg, Jehoash, 22, 24 Holford-Strevens, Leofranc, 122, 204 Kelleher, John Emil, 248, 249 Hothby, John, 142–43, 185, 186, 206 keys, 7, 103, 107–08, 240, 241, See also claves Hucbald of St. Amand, 7, 32, 34, 36, 44, 46, 55, litterae, A-G letters 73, 123, 126 Kiesewetter, Raphael Georg, 255 Hughes, Andrew, 24 Kite-Powell, Jeffery, 96 Huglo, Michel, 44, 53, 63, 76, 83, 130 Kreutziger-Herr, Annette, 117, 122 Hyeronimus Stridonensis (Jerome Kreyszig, Walter, 151, 177, 179, 209, 220 of Stridon), 88 La Fage, Adrien de, 54 Ianziti, Gary, 218, 219 Lange, Georg, 24–28, 29 Isidorus Hispalensis (Isidore of Seville), 88 laus musicae, 178, 204 Le Jeune, Claude, 238 Jacobus Antiquarius, 220 Leech-Wilkinson, Daniel, 20, 256 Jacobus Leodensis (Jacques de Liège), 2, 149, Lefèvre d’Étaples, Jacques (Faber Stapulensis), 171 249 Speculum musicae, 2, 78, 99, 100, 150 Lefferts, Peter, 97 Jerome of Stridon (Hyeronimus Stridonensis), Lester, Joel, 112 119, 120, 126, 161 Liber glossarum, 126, 127 Johannes Cotto (Johannes Affligemensis),32 , Linfield, Eva,24 34, 44, 46, 55, 59, 148, 248 littera (litterae), 5, 23, 28, 55, 90–91, 98, 99, De musica, 45–46, 135 101–03, 107–08, 129, 136–38, 140, 142, Johannes de Garlandia, 74, 83, 84, 85, 90, 95, 151–52, 163, 171, 172, 175, 182–83, 191, 105–06, 108, 125, 148, 181, 185, 252 205, 207, 209, See also clavis, A-G letters; Introductio musice plane, 74, 85, 86, 95, keys 105, 106 Solis notare litteris, 151, 155, 157, 174, 177, Johannes de Grocheio, 125 185, 210 Johannes de Muris, 44, 247 Lochner, Fabian, 55 Johannes de Szydlow, 149 locus (loci, loca), 5, 21, 62, 91, 104 Johannes Gallicus (Johannes Carthusiensis), Lomatio, Johannes Jacobus, 220 13–15, 112–13, 135, 141, 143, 144, 148, Lovato, Antonio, 125 152, 153, 159, 161, 164, 167, Ludovico III Gonzaga, Marquis of Mantua, 176, 185, 194, 214, 224, 235, 176, 178 247, 252, 253 Lupi, Johannes, 8 critical of solmization, 159–61 in Burtius’ Musices opusculum, 163–76 Machaut, Guillaume de, 19, 24 in Gafori’s writings, 176–80 Magister Lambertus (Pseudo-Aristotle), 84, 87, on musical and spiritual renovatio, 161–63 95, 99, 108, 181, 252 philological method in the Ritus, 155–59 Tractatus de musica, 77, 83–84, 99, 108 proposing an expanded modal system, trad. Lambertus, De plana musica, 71 215–16 maneria (mode), 41, 94, 111, 213

Index 283

manus, 21, 45, 71, 74, 75, 93, 138, 151, 189, mutation (mutatio, muance, mutazione), 4, 22, 203, 208, 214, See also Guidonian Hand, 82, 88, 90, 91, 94, 95, 106, 130, 138, 139, palma 152–53, 157, 159, 163, 186, 203 Marchetto of Padua, 62, 73, 125, 126, 187, as a mental operation, 94–95 194, 247 in Amerus’ Practica, 91–93 Lucidarium, 74, 95, 124, 127, 128, 212, 214, in Burtius’ Musices opusculum, 164–66 235 in Gafori’s Practica musicae, 194–204 Martianus Capella in Gallicus’Ritus canendi, 152–54 De nuptiis philologiae et Mercurii, 126 in Ramos’ Musica practica, 163–64, 194 Massera, Giuseppe, 141, 144, 165, 166, 167, 176, 216 Neo-Platonism, 222–24 Mauro, Letterio, 84, 125 in late-fifteenth-c. Milan,220 McManamon, John, 119 Nicolaus de Luduno, 97 Mead, Sarah, 21, 96 Niemöller, Klaus, 76 Meier, Bernhard, 212, 215, 216 nota (notae), 61, 90–91, 133, 139 memory, 1, 27, 31, 39, 42, 46, 61, 62–71, 87, 88, notation, 7, 26–27, 30, 36, 45, 50, 58, 62, 80, 93, 94, 152, 181, 238 83, 91, 94, 97, 106–08, 155, 177–78, 204, Merula, Giorgio, 219 222, 226 Merulo, Claudio, 231–33, 237 daseian notation, 35, 94, 151, 155, 156 Ricercari d’intavolatura d’organo, 237, 238 Metrologus, 53, 59–61 Ockeghem, Johannes, 111 Meyer, Christian, 5, 53, 54, 58, 59, 63, 71, 74, octave, 7, 51, 181, 256, See also diapason 85, 86, 95, 98, 105, 106, 131, 148 as a diatonic yardstick, 1, 4, 9, 10, 19, 23, 25, Milan, 216 29, 32, 36, 41–42, 50–51, 98, 99, 145, 151, Miller, Clement, 141, 143, 146, 164, 165, 180, 159, 181, 185, 194, 209, 213, 245, 251, 184, 186, 194, 202, 208, 219, 235, 239 254, 256 modal theory as a melodic interval, 36 formula Primus cum sexto fa sol la, 54–55 duplication at the, 5, 9, 19, 26, 32, 35–36, 94, in Gafori’s Practica musicae, 212–17 99, 101–02, 112, 136, 137, 251, 256 in Gioseffo Zarlino,230 –44 species of, 25, 39, 213, 214–15, 232, 233, in Hermannus Contractus, 39–40 235–37, 244, 251 sedes troporum, 37, 38, 110 Odington, Walter, 95 modality, 23 Odorannus of Sens, 80 modus vocis (modi vocum), 30, 35, 37–42, 58, Opusculum monacordale, 102, 103, 149 247 Ornithoparcus, Andreas, 95 monochord, 5, 7, 13, 30, 32, 39, 46–50, 51, Osbern of Canterbury, 55 58–59, 62–63, 71, 80, 97, 100, 107–08, Ovid 117, 124, 126, 131, 132, 146, 205, Metamorphoses, 224 228–29, 248 as preferable to the Hand, 129, 135–40 Padua, 13, 83, 117–22, 125 Monteverdi, Claudio, 9, 10, 19, 23, 24 Page, Christopher, 44, 106, 256 Moyer, Ann, 165, 203 Palisca, Claude, 32, 44, 46, 143, 217, 222, 223, Murray, Russell, 164, 167 228 Musica and Scolica enchiriadis, 5, 31, 35–36, palma, 106, See also Guidonian Hand, manus 51, 73, 104, 126, 127, 151, 155, 162 Paolo Veneto, 122 musica ficta, 4, 5, 20, 21, 95, 96, 97, Paris, 28, 83–84, 93, 104, 108, 113, 118 157 Paul the Apostle, 161–62 Musica manualis cum tonale, 52, 71, 99, Paul the Deacon, 1 See also Wylde, John Pelacani, Biagio, 120 musica mundana, 222–23 Pepusch, Johann Christoph, 112, 254 musica recta, 4, 20, 21, 96, 97, 209, See also Perkins, Leeman, 21 diatonic system Pesce, Dolores, 1, 20, 24, 30, 74, 179, 234

284 Index

Petrarch, Francis, 118 Reisch, Gregor, 107 phantasmata, 87, 88, 96 Margarita philosophica, 107, 108 phylacteria, 159–61 Remigius of Auxerre, 126 Pierre of Limoges, 83 renovatio, 13, 121, 122, 126, 130, 131, 132, 133, Pietro d’Abano, 125, 194 135, 142, 144, 146, 161, 163 Pike, Lionel, 8, 24 Resta, Gianvito, 218, 219 pitch class, 9 Rhau, Georg, 227 Planchart, Alejandro, 24 Riemann, Hugo, 19, 29 Plato, 223 Robey, David, 174 Pope John XIX, 179 Rolando da Casale, 123 Pope Pius II (Piccolomini), 145–46 Rosa-Barezzani, Maria Teresa, 59, 106 Powers, Harold, 42 Rudolph of St. Trond proprietas, 2–4, 25, 27, 31, 34, 53, 82, 86–90, Quaestiones in musica, 51 93, 96, 104, 138, 159, 185, 186, 203, 204, Rusconi, Angelo, 59, 106 See also hexachord, deductio Russo, Mariamichela, 36, 87, 88 as a virtual portion of the gamut, 110–11, 185 Salomon, Elias, 83, 87–88, 89, 99, 106 cuna, 88–90 Salutati, Coluccio, 225 in Gafori’s Practica musicae, 186 De laboribus herculis, 125 properchant (proprium cantum, proprietas Santosuosso, Alma Colk, 7, 50, 74, 80 per naturam), 53, 79, 82, 83, 105 Savonarola, Girolamo, 135 Prosdocimus de Beldemandis, 97, 98, 123, 125 scala, 20, 211 Pseudo-Odo, 54, 73, 91, 178–79 scholasticism, 82–84, 85, 91, 94 Dialogus de musica, 7, 53, 129, 130, 135, Schünemann, Georg, 26 136–37 Schütz, Heinrich, 24 Pseudo-Osbern, 55 Scolica enchiriadis. See Musica and Scolica Pseudo-Thomas Aquinas,54 enchiriadis Ptolemy, 214–15 Seay, Albert, 54, 131, 142, 146, 149, 185, 208, puncti, 88, 99 216 Pyle, Cynthia, 224 Sectio canonis, 249 Pythagoras, 148–49, 210, 211, 224 Seneca, 119 Sequitur de sinemenis, 98 quaestio, 88 Serafino Aquilano, 222 Questiones et solutiones, 51 Sforza, Ludovico (il Moro), 217–23, 225, Quid est cantus, 127 226 Quintilian, 62 Sigebert of Gembloux (Sigebertus Gemblacensis), 5, 150 radix, 89 singing Ramos de Pareja, Bartolomeo, 14, 141–42, as conducive to devotion, 127–28, 132–35 163–66, 167, 176, 179, 180, 181, 184, 185, Smits van Waesberghe, Joseph, 5, 26, 33, 34, 193–94, 206, 207, 223, 224, 225, 228, 247 44, 46, 59, 60, 55, 149 Musica practica, 163, 167, 180, 182–89, 183, Snyder, John, 56, 57 184, 194, 204, 207, 208 solmization (solfatio, solfisatio, solmisatio), 2, Rausch, Alexander, 83 13–14, 19, 22, 24–29, 36–37, 42, 44, 45, reform. See also renovatio 55–59, 61–62, 63–71, 74–81, 82–83, 87, of liturgical chant, 51–53, 58, 235 90, 94, 96, 97, 103–04, 106–09, 110–12, of musical pedagogy, 14–15, 80, 113, 118, 111, 117–18, 124, 128–32, 135, 137, 138, 121–40, 148, 151–59, 176, 222, 225, 252, 141–44, 146, 150, 152, 155, 159, 161, 253 163–64, 165–71, 174–77, 179, 181, 182, of religious life, 13, 80, 159–63 186–89, 193, 214, 216, 222, 227, 235, 247, of the liberal arts, 121, 143 252, 253 Regino of Prüm, 126 in Gafori’s Practica musicae, 206–12

Index 285

Spataro, Giovanni, 180, 208, 209 in Burtius’ Musices opusculum, 167–74, St. Giustina, Abbey of, 117, 123, 128, 175–76 132 in Gafori’s Practica musicae, 189–93, 205, Steglich, Rudolf, 51 206, 207–12, 214 Strohm, Reinhard, 5, 21, 122, 165 in Gallicus’ Ritus canendi, 150–60 Summa musice, 44, 71, 106 in Johannes Tinctoris, 21 Sweelinck, Jan Pieterszoon, 11 in modal theory, 230, 234 systema teleion (Greater Perfect System). in Ramos’ Musica practica, 163 See diatonic system (gamut, musica recta, in Spataro’s Errori di Franchino musica vera, Tonsystem) Gaffurio, 208 in Ugolino of Orvieto’s Declaratio musicae Tanay, Dorit, 82, 105 disciplinae, 208 tetrachord (tetrachordum), 14, 26, 27, 34, problem of ‘retrogradation’, 138 36–37, 38, 40, 42, 45, 50, 96, 100, 113, rule of the fa, 157 167, 171, 173, 182–85, 205, 206, 207, 214, tri, pro, de, nos, te, ad, 44, 56 228–29, 239, 240, 241, 245, 250, 251, 253, 254, See also diatessaron Vanneus, Stephanus, 227 Theinred of Dover,55 , 57, 110, 227 Vatican Organum Treatise, 54, 71 Theogerus of Metz, 55, 240 Vendrix, Philippe, 117, 122, 123, 128 Musica, 55 Venice, 231–32, 237 Thibaut, Jean-Baptiste,76 Vergerio the Elder, Pierpaolo, 119, 120–22, Thomas á Kempis,128 126, 174, 175 Thomas Aquinas,83 , 219 De ingenuis moribus, 119 Tinctoris, Johannes, 21, 62, 75, 149, 203, 214, Vicentino, Nicola, 146, 247 247 Vincent of Beauvais Expositio manus, 21, 74, 75, 93, 189, 203, Speculum historiale, 150–51 214 Virgil, 101, 209, See also septem discrimina Liber de natura tonorum, 214 vocum Proportionale musices, 149 Aeneid, 102, 160 Tomlinson, Gary, 223 Visconti, Filippo Maria, 218 tonality, 10, 23 Vittorino da Feltre, 119, 121, 142–43, 150, 160, Tractatus de musica, 54 174, 175, 176 Traversari, Ambrogio, 119–120 vox (voces), 1, 11, 23, 26–29, 55, 61, 88, 90, 91, Tubal, 149 98, 99, 103, 104, 107, 172, 173, 193 Ugerius, Maurus, 220 septem discrimina vocum, 51, 99, 100, 102, Ugolino of Orvieto, 131, 208, 247 192, 207, 208, 209 Declaratio musicae disciplinae, 120, 131, signum vocis, 90–91, 104 208 Tractatus monochordi, 131 Waltham Abbey, 53 Urquhart, Peter, 8 Wegman, Rob, 21, 128, 135 Ut queant laxis, 1, 26, 30, 31, 150, 173, 182, Weijer, Olga, 84 183, 228, 230 Werbeck, Walter, 227 ut-la syllables, 1–8, 11–13, 20, 24, 26, 29, 30, Wherwell nunnery, 76–78 33–34, 36, 44, 46, 51–62, 73–74, 76, 77, Whitcomb, Pamela, 84 81, 82–83, 87, 85–101, 102–03, 104–08, Wiering, Frans, 42, 239, 248 110–13, 129, 130, 137, 138, 139, 144, 150, Willaert, Adrian, 231–34, 245 163, 177, 181, 185, 194, 228, 232–33, 254, William of Hirsau, 235 See also hexachord, solmization, vox William of Volpiano, 80 as definers of musical space,19 , 20 Wiora, Walter, 24, 28, 30, 34 derived from Ut queant laxis, 44 Woodley, Ronald, 75, 203 Fasola system, 157 Woodward, William Harrison, 121, 160

286 Index

Wycliffe, John,135 Zarlino, Gioseffo, 19, 146, 148, 230, 231, 232, Wylde, John, 52, See also Musica manualis 233, 234, 237, 248, 249 cum tonale Dimostrationi harmoniche, 230, 231, 232, 233, 237, 239, 241, 244, 245, 246, 247, Yardley, Anne Bagnall, 78 248–252 Young, Irwin, 202, 219 Istitutioni harmoniche, 228, 230, 231, 237, Yssandon, Jean, 95 238, 239, 240, 241, 244, 245, Yudkin, Jeremy, 84, 105 247, 249 modal reform of, 230–38 Zabarella, Francesco, 117, 120, 123 on hexachordo, 227–48