The Fifth Desk · Evaluation
Act I · The Map
Pérotin · organum quadruplum on the gradual of the Third Mass of Christmas Day · the four-voice settings of the soloists’ portions, sung in alternation with the choir’s plainchant, scored as one work as it survives · four voices, the chant in the tenor · about eleven to thirteen minutes in performance with its chant
Mode
Liturgical polyphony; organum on a gradual, the soloists’ portions in four voices and the choir’s portions in plainchant, alternating as the Mass requires
Mythos
The eternal held under time: the chant, the Word of the liturgy, stretched into a ground that stands outside the measure of the voices above it, at the feast of the eternal entering time; the nations gathered into one sound
Phase
One gradual of one Mass, the respond and its verse, from the held F of the first syllable to the choir’s close
Presentation
Concert music, sung in Latin; a tenor carrying the chant in long notes or in measured discant, and three upper voices, duplum, triplum and quadruplum, in modal rhythm above it
Register
Splendour and jubilation throughout: bright fifths and octaves over one held pitch, voices crossing and exchanging, time suspended
Scale
One chant, four voices, one feast and one building; about twelve minutes
Governing Proposition
The soloists of a Paris cathedral, on Christmas Day, take the first syllable of an old chant and hold it under three moving voices for minutes, until the melody stops being heard as melody and becomes a floor, and then do the same with every word the soloists sing. The wager of the work is that the received chant, held so slowly that it stands outside time, can be made the ground of a new order of measured time built in number above it, and that four voices can be one sound.
Act II · The Essay
Movement I
The gradual of the Third Mass of Christmas Day, the Mass of the day, sets verses of Psalm 97 (98) in the Vulgate. The respond: “Viderunt omnes fines terrae”
“All the ends of the earth have seen” the salvation of our God; rejoice in God, all the earth. The verse: the Lord has made known his salvation; in the sight of the nations he has revealed his justice. The chant is in the fifth mode, with its final on F. At the cathedral of Paris, as elsewhere, a gradual was shared: soloists began the respond and sang the verse, and the choir answered with the rest in plainchant.
Viderunt omnes sets only what the soloists sang. The respond’s first two words and the verse are given to four voices, and the choir’s portions stay in plainchant between them, so that the work is heard in alternation, polyphony and unison, as the liturgy and the standard performing version present it. The chant itself is in the lowest voice, the tenor, which holds it; above it move three voices, the duplum, the triplum and the quadruplum. The four-voice settings and the plainchant around them are scored here as one work. The sister quadruplum, Sederunt principes, is a separate work, and so is the two- and three-voice organum of the school.
The words are present, but scarcely as speech. Each syllable is stretched over one or more long tenor notes beneath melismas in the upper voices, and the first syllable alone lasts minutes. What a listener hears is the chant that carries the text, slowed until it is no longer heard as a tune. The text says that all the earth has seen; the work makes that seeing a sound, many voices in one sonority, rather than a sentence. The Latin is quoted here only in its opening words and in one phrase of the verse, and every English gloss is the desk’s own.
Movement II
The work begins with the tenor taking the F of the first syllable, “Vi-”, and holding it. Over it the three upper voices begin on a sustained consonance, all four sounding together without motion. Then they break into patterned rhythm, the first rhythmic mode for most of the span, long and short, long and short, and the building seems to start ringing. The tenor does not move. Its F stands under the moving voices so long that it stops being a note of a melody and becomes the floor everything stands on.
Within that span the upper voices are built, not improvised. The same figure passes from one voice to another in voice exchange, so that the ear hears motion where the harmony stands still. Short motives are repeated in sequence, up and down. Phrase-ends are staggered between the voices, so that the motion rarely stops in all three together. On the strong beats of the mode the voices meet in consonance, unison, fifth, octave or fourth, with passing dissonance between. Three upper voices share one range and cross and exchange until no single one can be followed.
Then the tenor moves to its next note, and the ground shifts: the whole texture is reharmonised in one step, and the elevation of the opening returns at a new height. The same happens at each new tenor note. Here the work’s limit is also plain. Inside each held note the upper voices fill the span with phrase units, and several of them, over the long first F and over later held notes, could go without loss to the argument, only to the span. The frame is compelled by the chant; its filling is more additive than the frame.
Movement III
After the choir has finished the respond in plainchant, the soloists return for the verse, “Notum fecit Dominus”
“The Lord has made known”, and the four voices with them. The verse brings the second figure the work builds: the nations, “ante conspectum gentium”
“in the sight of the nations”, gathered into one sound. Neither figure is told. The work names no person and no place, and what stays particular, the feast and the cathedral, is carried by the occasion more than by the notes.
The verse shows the work’s second kind of writing most fully. Where the chant moves syllabically or neumatically, the tenor holds a single note, often for a long span, while the upper voices move in modal rhythm above it. Where the chant has a melisma, the tenor itself takes a measured rhythmic pattern, and all four voices move together in discant. In those passages the old melody walks in the new time. The change from one texture to the other is timed to the chant’s own shape, so that the form follows what the chant already was.
Between the polyphonic sections the choir’s unison returns, and with it the root of what the soloists built. The plainchant is not a pause in the work but its source: every held note of the tenor came from it, and every measured pattern in the discant is its melody set in number. Heard together, polyphony and chant make the work an expansion of the liturgy, not a replacement for it. Take the opening and a passage of discant, the most distant elements the work has: one law governs both, the chant fixing the ground, the mode the time and consonance the strong beat.
Movement IV
In 1198 and 1199 Odo of Sully, bishop of Paris, issued decrees for the Christmas season that allowed organum to be sung “in triplo vel quadruplo”
“in three or four voices”. The usual dating of Viderunt omnes ties it to these decrees; the dates are firm, and the link to this piece is an inference, not a record. On that inference the work is dated about 1198, and in any case before about 1200. The cathedral it was made to fill was then still under construction: a new building, and a new sound licensed by its bishop for its highest feasts.
The maker’s name comes from a later theorist known as Anonymous IV, who names “Viderunt” and “Sederunt” as the quadrupla of “Perotinus Magnus”, and calls such works the best, in a tradition that rarely kept the names of its makers. The inheritance was the Parisian organum duplum ascribed to Leoninus, the Magnus liber, in which one free voice moves over the held chant. Viderunt omnes takes that to four voices, the first four-voice compositions in Western notated music that survive with a named composer, with no proven model for coordinating so many free voices.
The work survives in the three central sources of the Notre-Dame repertory: the manuscript at Florence, Biblioteca Medicea Laurenziana, Pluteo 29.1, which it opens, and the two manuscripts at Wolfenbüttel, W1 and W2. Their notes agree in substance. The notation is modal: rhythm is carried by the grouping of notes in ligatures, not by the shapes of the notes, so the rhythmic reading of any edition is an interpretation, though for the upper voices of the quadrupla a well agreed one. Tempo, pitch, accidentals and forces are not recorded. What survives whole is pitch and phrase; what is lost is the sound as it was sung.
Movement V
The work fell out of use in the fourteenth century, as the Notre-Dame repertory was superseded, and it was not heard again until the twentieth, a gap of about six centuries. Friedrich Ludwig’s work on the repertory early in that century opened the study of it. Rudolf von Ficker published Viderunt omnes and had it performed around 1930, and its presence since then has been continuous, mostly through recordings, and wide within early music. The questions it raised then are open still: how far modal rhythm applies, whether organum over a held note was measured, how long the opening note should sound, at what pitch, with voices alone or with instruments.
Its reach was real and partly blocked. The Paris repertory spread across Europe, and the modal and discant practice the work shares with the Magnus liber led to the motet and to measured notation. But four-voice organum was nearly a dead end: a handful of quadrupla, and then three voices remained the norm for two centuries. Among the desk’s pages it stands level with Haydn’s String Quartets Op. 76 (8.4), and below the Goldberg Variations (8.9) and the Vespers of 1610 (9.1), which wins every axis. Notre-Dame de Paris (8.8), the building this music was made to fill, holds more orders and stands above.
What it brought into the open holds without the record of its making: that the received word can be held so slowly it becomes foundation, and that the new can be built in number above it without displacing it. At the feast of the eternal entering time, the eternal is held under time, and the nations are gathered into one sound. What it does not show is any person under that order, and its brilliance is one state, jubilation. Four of the five summit conditions are met. The Unconcealment and The Archetypal Deep hold the Epochal Gate shut, and the aggregate, 8.4, would hold the work in Tier IV even were the gate met.
Act III · The Twelve
The large plan is compelled from outside the composer, by the chant. Which words take polyphony, in what order, and on which pitch each tenor span sits are fixed by the gradual, and the alternation with the choir’s plainchant is required by the liturgy; nothing there can be removed. Inside each tenor span the necessity weakens. Sustained-tone organum is additive by nature: the upper voices fill the held note with patterned phrases, sequences and voice exchanges, and the subtractive test finds phrase units over the long opening F, and over later held notes, that could go without loss to the argument, only to the span. Length is not charged; the span is part of what the work does. The phrase units are what could go.
Score: 8.1 / 10
Disclosure through sound is credited in full, and it can be stated. The received chant, the Church’s inherited word, is made the ground of a new order of measured time, and held so slowly that it stops being heard as melody and becomes foundation. The text’s claim, that all the ends of the earth have seen, is made audible as sonority: many voices, one sound, filling a building that was still going up. That is a meaning, not only a mood: order founded on what is given, and the new built in number above it. What holds the axis is that the disclosure is of a cosmos and a liturgy. No person, conflict or consciousness is shown, and the brilliance, however exact, is largely one state: jubilation.
Score: 8.1 / 10
Height is reached at the first bar and held. The tenor’s F is laid down and held, a sustained four-voice consonance sounds over it, and then the upper voices break into rhythmic motion, so that the building seems to start ringing. The sublime here is of grandeur and brilliance: bright fifths and octaves, three upper voices in one range crossing and exchanging until the ear cannot follow one, and time suspended over a single pitch. It recurs at each new tenor note, and where the tenor itself begins to move and the whole texture is lifted. Held below the top for frequency of kind: the register is one, splendour throughout, with no terror, grief or quiet to rise from, and constancy flattens its peaks.
Score: 8.9 / 10
One archetype is built, not evoked, and it bears weight: the eternal held under time. The chant, which in the liturgy is the Word, is stretched into a ground so slow that it stands outside the measured time of the upper voices, while those voices move in strict number above it. At Christmas, the feast of the eternal entering time, that structure is the incarnation as a sound. A second figure is the gathering of the nations, “ante conspectum gentium”
“in the sight of the nations”, into one sonority. Held below the gate because the particular is thin: the melismatic writing names no person or place, the words are barely audible, and the feast and the cathedral are carried by the occasion more than by the notes.
Score: 8.3 / 10
The inheritance is Parisian two-voice organum, the organum duplum ascribed to Leoninus and the Magnus liber, in which one free voice moves over the held chant. The departures: four voices, the first four-voice compositions in Western notated music that survive with a named composer; three upper voices in one range, coordinated in modal rhythm, which requires a governing consonance among four parts at every strong beat; a large scale, with the first syllable held for minutes; and long spans organised by voice exchange and sequence, as architecture, not improvisation. The stake was real: a new sound for the cathedral’s highest feasts, with no proven model for coordinating so many free voices. Held below the top because three-voice organum and the modal system prepared the path.
Score: 8.7 / 10
Change the form and the work loses what it knows. As chant alone it would lose the new order built over the old. As a motet, with words in the upper voices, it would lose the stretched word and the suspended time; as a two-voice organum, the mass of sound that makes many voices one. The two textures are the form’s instruments: where the chant moves slowly, the tenor holds and time stops; where the chant has a melisma, the tenor takes measure and the old melody itself starts to move in the new time. The alternation with the choir’s plainchant frames the polyphony as an expansion of the liturgy, not a replacement. The joint is inside the long spans, where phrase units fill a held note more than they shape it.
Score: 8.9 / 10
Evidence, mostly of the last century. Since Friedrich Ludwig’s work on the Notre-Dame repertory early in the century, the work has stood at the centre of argument: on the rhythm of modal notation and how far it applies, and whether organum over a held note was measured at all; on the authority and date of the theorist who names its maker; on the Paris liturgy; on editions. In performance it is still unsettled: voices alone or with instruments, tempo, how long the opening note should sound, pitch. Its formal depth yields on listening, and the voice exchanges and staggered phrase-ends reward return. Held lower because the semantic yield is narrow: the questions are about how it goes more than what it means.
Score: 8.4 / 10
Intrinsic force and achieved reach are scored together. The force is great: the work reorganised what written polyphony could hold, from one voice over a chant to four, coordinated by rhythm and consonance, at a scale no notated music had reached before it, and a later theorist calls such works the best, in a tradition that rarely kept its makers’ names. Achieved reach is scored with intrinsic force: within the liturgical polyphony of about 1200, the Paris repertory spread across Europe, its sources now in Florence and Wolfenbüttel, and the modal and discant practice the work shares with the Magnus liber led to the motet and measured notation. But four-voice organum itself was nearly a dead end, three voices remained the norm for two centuries, and the work’s own reach is hard to separate from its school’s.
Score: 8.7 / 10
Survival is weighed on form, presence and fabric. The form survives: the notes are in the three central sources of the repertory, in substantial agreement, and the work opens the most important of them. The cost is twofold. Modal notation gives rhythm by convention, not by sign, so the rhythmic reading is a reconstruction, sound for the upper voices but not certain everywhere, and tempo, pitch, accidentals and forces are not recorded. And the silence was long: the work fell out of use as the repertory was superseded in the fourteenth century and was not heard again until the twentieth, a gap of about six centuries. Presence since about 1930 is continuous. Held below the Goldberg Variations (9.2), whose gap of hearing was a century and a half.
Score: 8.8 / 10
The making bears weight. Four voices, three of them in one range, are kept consonant at every strong beat of the mode across spans of minutes; voice exchange is used as structure, so that the same material passes between voices and the ear hears motion where the harmony stands still; phrase-ends are staggered so that the texture never stops at once; and the change from held tenor to measured discant is timed to the chant’s own melismas. Nothing falls short of its intention. Held below the Goldberg Variations (9.7) and Otello (9.5): the harmonic vocabulary is narrow, fifths and octaves over one held pitch, the same few sonorities for minutes, and the patterning in the upper voices is formulaic in places. Only the maker’s share of that narrowness is charged.
Score: 8.9 / 10
Take the two most distant elements: the opening, where the tenor holds one note and time stops, and a passage of discant, where the tenor moves in measured rhythm and all four voices walk together. One law governs them: the chant fixes the ground, the mode fixes the time, consonance fixes the strong beat, and nothing in the work obeys any other rule. The choir’s plainchant, sung between the polyphonic sections, obeys the same law in its root form: the chant is what the polyphony is made of. But narrowness is not coherence, and the range governed here is narrow: one register of feeling, one harmonic vocabulary, one rhythmic mode for most of the span. The law is perfect over a small field.
Score: 8.6 / 10
A liturgical form of about twelve minutes, mostly melisma, cannot hold the orders a novel or an opera holds, and the figure says so rather than compensating. What it holds, it holds together: the sacred, as the whole ground; the liturgy and the community that sings it, soloists and choir in alternation; the cosmos and the nations, all the ends of the earth, in the text and in the sonority; time and eternity, in the tenor under the measure; and the building, which the sound was made to fill. What holds the axis here is absence: consciousness, the family, labour, the state and history do not appear, and the human person is present only as one of the voices. The figure describes the form.
Score: 6.8 / 10
Act IV · The Reckoning
8.4 / 10 · Final Average
Placement: Tier IV · Canonical
Strongest Dimensions
The Sublime, The Living Form and The Made, all at 8.9. Height reached at the first bar and held, the tenor’s F laid down under a ringing four-voice sonority; a form in which held tenor and measured discant are the instruments of what the work knows, the old melody standing still and then walking in the new time; and four voices, three in one range, kept consonant at every strong beat across spans of minutes, with voice exchange used as structure.
Limiting Dimension
The Encompassed at 6.8: the sacred, the liturgy and its community, the nations, time and eternity and the building are held together, but consciousness, the family, labour, the state and history do not appear, and a liturgical form of about twelve minutes holds what its form can hold. Next above it, The Inevitable and The Unconcealment at 8.1: phrase units inside the held notes fill the span more than they shape it, and the disclosure is of a cosmos and a liturgy, one state of jubilation, with no person shown.
The Necessity Cap clears at 8.1 against a threshold of 7.5. The Coherence Floor clears with room: The Living Form at 8.9, The Made at 8.9, The Inner Law at 8.6, each against 7.0. The Epochal Gate is unmet: The Imperishable at 8.8, Pressure on Tradition at 8.7 and The Swerve at 8.7 clear the bar of 8.5, but The Archetypal Deep at 8.3 and The Unconcealment at 8.1 fall short. The Universal Minimum is met: no axis but The Encompassed falls below 8.1, against 7.5, and The Encompassed, which is exempted, clears its own floor of 6.0 at 6.8. Four of the five summit conditions are met, and with the Epochal Gate unmet and an aggregate of 8.4 the work stands in Tier IV; the aggregate alone would withhold the summit were the gate met.
Basis · the four-voice organum Viderunt omnes on the gradual of the Third Mass of Christmas Day, as it survives in the three central sources of the Notre-Dame repertory (Florence, Biblioteca Medicea Laurenziana, Pluteo 29.1, and the two Wolfenbüttel manuscripts, W1 and W2), in its standard performing version: the polyphonic settings of the respond’s incipit and of the verse, sung in alternation with the choir’s plainchant for the rest, all scored as one work; read from knowledge under the desk’s convention for concert music, with its performance tradition as evidence. No score, facsimile, edition or recording was in hand, and data/texts holds nothing for this work. Its losses are stated: the notation is modal, so the rhythm of every edition is a reconstruction, well agreed for the upper voices but not certain everywhere; tempo, pitch, accidentals and forces are not recorded; and the work was unheard for about six centuries. These are charged under The Imperishable and nowhere else. The sister quadruplum, Sederunt principes, and the two- and three-voice organum of the school stand outside the unit. The attribution to Pérotin rests on the theorist known as Anonymous IV; the dating to about 1198 rests on an inference from the bishop’s decrees of 1198 and 1199 and is given as an inference. The words are the Vulgate of Psalm 97 (98) as the Roman gradual sets them; Latin is quoted only in short phrases of the chant, the decree and the attribution, and every English gloss is the desk’s own. The words of the text were counted by script. Details that could not be verified, among them the theorist’s date, the scholar who first argued the link to the decrees, a fourth fragmentary source, the exact division between polyphony and chant at the close of the verse, the place of each discant passage, the range of the upper voices, the forces of the first modern performance, the editions and the dates and timings of particular recordings, and later composers’ debts to the work, are not given; the running time is a range across the recorded tradition, not a measurement. The sound of the work as heard is beyond this reading and is neither credited nor charged.