“The church analogion is a hazardous working environment,” the guru said. “A note approaches another, and suddenly, the laws of acoustics suspend. The third degree doesn’t just rise; it is caught in the event horizon of the fourth. Never stand too close during the execution of a cadential formula, lest your own vocal cords be warped by the sheer gravitational pull of the mese. Astrophysics, my boy.”
How Aristoxenus was misinterpreted
Byzantine chanters call it helxis: melodic attraction or melodic pulling. A note approaches another note and is dragged toward it. It may be sharpened ascending, flattened descending, or displaced because a stronger degree supposedly exerts “gravity” upon it. The written note and the scale supposedly remain the same. Yet the singer is expected to abandon the note’s established pitch and place it somewhere in between. The phenomenon is real and can be heard throughout modern Byzantine chant, Greek folk singing and Ottoman makam performance.
The traditionalist defense is predictable: “So what? We don’t do Ancient Greek music anymore, Byzantine music has evolved.” Music always evolves. The problem is that a late Byzantine theoretical distortion was retroactively attributed to ancient Greek theory, converted into mandatory Byzantine practice, and used to condemn singers who simply perform the notes of the established scale correctly and to label them “Westernizers”.
Mastering Byzantine Polyphony rejects pitch attraction.
Within an established scale, a note stays where the scale placed it. If the scale changes, that is a modulation. If a degree has two defined forms, both pitches must be identified. If a composer wants a directional inflection, he is free to write one. What MBP rejects is the unnotated displacement of notes under the vague claim that the melody “pulls” them. Pitch is not elastic.
The Dorian Sixth is Not Helxis
Mainstream modal theory recognizes the variable sixth degree of Dorian. When ascending or when the melody dwells upon the sixth, the sixth is raised relative to Aeolian. When descending or approached from below, it is lowered. In D Dorian, this means B natural ascending or dwelling and B♭ descending or approached from below. This phenomenon is not melodic pulling, but a defined binary modal alteration comparable to the variable sixth and seventh degrees of melodic minor. There are two distinct, fixed pitches, selected under intelligible melodic conditions. Both can be written and harmonized exactly. The singer is not invited to improvise some mysterious intermediate position according to inherited instinct. A discrete modal alteration is music theory. An unmeasured pitch dragged around inside an otherwise unchanged scale is not.
The Aristoxenus Alibi
Traditionalists attempt to give melodic pulling an ancient Greek pedigree by invoking Aristoxenus and his distinction between ἑστώτες, the fixed notes, and κινούμενοι, the movable notes. The word movable is then treated as if Aristoxenus had authorized Byzantine singers to bend notes during performance. He did no such thing.
Macran summarizes the Greek system as follows:
“The intermediate notes again are regarded as mere stopping places of approximately determined position in the passage between the boundaries. According to the Greek terminology they are κινούμενοι or movable notes as distinguished from the ἑστώτες or fixed notes, between which they stand. For since the essence of a note is not its place in a group, but its function in a system, an Enharmonic, a Chromatic, and a Diatonic passing note are not to be regarded as three notes, but as one variable note in three positions.”
The final sentence destroys the traditionalist interpretation.
The same functional degree occupies different pitches in different genera. A lichanos is placed differently in the diatonic, chromatic and enharmonic genera. The note is called movable because it does not possess one universal pitch across every possible scalar system. The movement is taxonomic. It has nothing to do with wobbling during performance. Aristoxenus establishes two categories inside the tetrachord. The outer boundary notes are stable. The inner notes occupy positions determined by the genus and its shade. Once that scalar system has been established, and assuming no modulation, every note remains at its established position.
The traditionalist reading commits a basic category error: It confuses variability between scales with instability inside one scale.
A camera lens is movable. It can be locked onto different focal lengths before the shot is taken. If the lens continues to move while the shutter is open, you get a blurred and ruined image.
The Topos Objection
A more sophisticated defender will appeal to Aristoxenus’s concept of topos: the bounded region in which a movable note may be placed. Aristoxenus writes of the lichanos:
“The total range in which lichanos moves is a tone, since it does not stand at less than the interval of a tone from mese, nor at a greater interval than a ditone.”
He also writes:
“Wherever you arrest the voice in the range that accommodates the lichanos will be a lichanos, and no place in the lichanos range is empty or incapable of receiving a lichanos.”
The argument then runs as follows: if the lichanos can occupy indefinitely many positions inside a one-tone range, surely this proves that the pitch was fluid.
No. It proves that the system allows multiple possible placements. The decisive verb is arrest. The voice is arrested at a position. A pitch is selected inside the permitted region according to the genus and shade being used. Once selected, it remains there until the musical system changes. The topos is a range of valid tunings. It doesn’t give you permission to smear a note upward whenever the melody ascends or flatten it whenever you imagine downward gravity.
Aristoxenus Condemned the Deformation
The traditionalist appeal becomes even more absurd when we read Aristoxenus’s own criticism of contemporary performers. He writes:
“It is to be expected that those who are used only to the style of composition at present in vogue rule out the ditone lichanos, since most people nowadays use higher ones. The reason is their endless pursuit of sweetness: that this is their objective is shown by the fact that they spend most time and effort on the chromatic, whereas when they do occasionally come to the enharmonic they force it close to the chromatic, and the melody is correspondingly pulled out of shape.”
Aristoxenus is describing musicians who abandoned the proper positions of one genus because their ears had become accustomed to the sweeter sound of another. He calls the melody distorted. The very theorist invoked to legitimize melodic pulling condemns performers for dragging one scalar system toward another according to fashion and habit. Far from providing an ancient foundation for modern helxis, Aristoxenus anticipates its central defect: singers cease to respect the established scale and deform it toward the intonation their ears have been conditioned to prefer.
The False Pedigree
The practice did not arise because Byzantine singers preserved a command issued by Aristoxenus across more than two thousand years. Aristoxenus never instructed singers to execute the same note at different pitches according to melodic direction. The missing link is Manuel Bryennios.
Athanasios Karamanis stated it openly in a TV interview:
“The great theorist of Byzantium, Manuel Bryennios wrote about the notes: differently in ascent, differently in descent.”
Karamanis does not cite Aristoxenus for this rule, but Bryennios. Aristoxenus described movable notes occupying different positions according to genus and shade. Bryennios turned ancient scalar categories into a rule of directional execution: one way ascending, another descending. Variability between scalar systems became instability inside the performed scale.
The Bryennios Problem
Bryennios was not a neutral or reliable transmitter of either ancient Greek theory or contemporary ecclesiastical music. He was a controversial late Byzantine compiler who attempted to force living chant into inherited classical categories, even when the two systems did not fit. Eustathios Makris, studying Bryennios directly through Jonker’s critical edition of the Harmonics, shows that Bryennios committed the standard medieval error of confusing the ancient tonos, a transposition level, with the octave species. Makris describes the resulting system as an outright confusion between two different layers of musical thought: classical Greek theory and newer medieval ideas. Bryennios then attempted to match the ancient tonoi with the Eight Tones and presented theoretical constructions that did not correspond coherently to actual ecclesiastical practice. Makris rejects the idea that Bryennios’ alleged melopoioi can simply be identified with professional church musicians, because the claim is supported by neither historical testimony nor any surviving musical source.
His handling of the First Tone apechema exposes the method. Bryennios appears to recognize the underlying melodic shape, yet distorts its intervallic structure by forcing it through ancient analytical terminology. The actual fifth is converted into a fourth so that the chant will fit the theoretical mold he inherited. The music is adjusted to the theory instead of the theory describing the music.
Makris’ final judgment is devastating. Bryennios had no direct understanding of the tonal material he described. His knowledge of ecclesiastical music was superficial and not founded upon practical experience. His constructions contain serious theoretical problems and even internal contradictions. His rigid attachment to ancient terminology prevented him from connecting theory with the actual music of his own time. This is the “great theorist” authority behind Karamanis’ “differently ascending, differently descending.” A theorist already known to confuse musical categories, impose ancient systems upon living chant, alter intervals to make the material fit, and misunderstand the tonal substance of ecclesiastical music converted scalar variability into directional pitch instability. Bryennios distorted Aristoxenus.
The later Byzantine establishment inherited that distortion, placed Aristoxenus’s name behind it, and transformed it into mandatory intonation. A late Byzantine theoretical mistake acquired an ancient Greek pedigree, and singers who rejected it were eventually accused of ignorance and Westernization. How did Byzantine musicology in Athens fail to notice a category error this elementary for so many decades?
How the Pulling Became Entrenched
Bryennios supplied the theoretical mutation. Later performance cultures made it sound natural. Ottoman makam was not the original intellectual culprit, but it powerfully reinforced the error. Makam practice contains directional melodic behaviour as part of its structure. A degree can be sharpened or flattened according to ascent, descent, local emphasis and the seyir of the makam. Pitches are treated contextually and attracted toward structurally stronger notes. Byzantine chanters lived inside that musical environment. They heard these directional inflections constantly and absorbed them into post-Byzantine performance. Greek folk musicians did the same. Bryennios supplied the ancient-looking alibi. Makam supplied a living musical world in which the alibi sounded plausible. Several additional forces then exaggerated the practice.
The phantom leading tone
Consider the F below a cadence on G in G Mixolydian. The scale contains F natural. Yet generations of singers exposed to tonal behaviour begin to hear F♯ as more satisfying because it produces the familiar semitone pull toward G. The singer then experiences the alteration as something organically demanded by the melody itself. It is the conditioned ear demanding it. The ultimate irony of the traditionalist who despises Western harmony is that his “authentic” cadence is merely his ear begging for a Western leading tone resolution.
Speed and inaccurate attack
Secondary notes are often approached rapidly. A singer may fail to settle fully upon the intended pitch before moving onward. The inaccurately struck note is heard, imitated and eventually taught as a special traditional position. Oral transmission accumulates the error. Once repeated by a prestigious teacher, the error becomes style. Once described with theoretical language, style becomes law.
Expressive exaggeration
Singers lean into emotionally or structurally important degrees. In chromatic passages, they may exaggerate an augmented second by pushing its lower note downward and its upper note upward. What began as expression becomes a standard intonational distortion. The scale is being caricatured. These secondary mechanisms explain how the structural habit spread, hardened and became authoritative inside a prestige-driven oral tradition.
What MBP Does Instead
Mastering Byzantine Polyphony (MBP) abolishes melodic pulling as a theoretical requirement. A scale consists of defined pitches. A mode consists of a defined scalar field organized around a tonal center. If the melody modulates, the modulation is identified. If a degree changes, the alteration is stated. If a composer, despite our guidance, wants Sabah, Ferahnak, directional intonation or any other makam device, he remains free to use it, and MBP gives him the tools to analyze and harmonize it. Nothing is prohibited creatively. What is rejected is the claim that an unwritten, unmeasured pitch displacement must be obeyed because Aristoxenus called certain notes “movable.”
Modern melodic pulling is a performance habit born from a misunderstanding, a false reading of ancient Greek theory. It may be used deliberately. It may be enjoyed. It may even be beautiful in the appropriate musical language. But it will no longer be allowed to hide behind Aristoxenus. It will not be part of the theory of Byzantine Polyphony.
Within an established scale, a note stays exactly where the scale placed it.