Table I.
Scales of the seven oldest Keys, with the species of the same name.
Seven Scales
| [Listen: Mixo-lydian] | [Listen: Lydian] | [Listen: Phrygian] |
| [Listen: Dorian] | [Listen: Hypo-lydian] | [Listen: Hypo-phrygian] |
| [Listen: Hypo-dorian] |
Table II.
The fifteen Keys.
Transcriber's Note:
Corrected final note in "Lydian" midi file from E as written to F as is more logical.
The moveable notes (phthongoi kinoumenoi) are distinguished by being printed as crotchets.
The two highest of these keys—the Hyper-lydian and the Hyper-aeolian—appear to have been added in the time of the Empire. The remaining thirteen are attributed to Aristoxenus in the pseudo-Euclidean Introductio (p. 19, l. 30), and by Aristides Quintilianus (p. 22, l. 30): but there is no mention of them in the extant Harmonics. It may be gathered, however, from the criticism of Heraclides Ponticus (see the passage discussed on pp. 9-12) that the list of keys was being considerably enlarged in his time, and Aristoxenus, though not named, is doubtless aimed at there. Music of the 'Orestes' of Euripides (ll. 338-344).
Music of Orestes
Music of Orestes
[Listen]
The metre is dochmiac, each dochmius consisting of an iambus followed by a cretic, symbols. The points which seem to mark the ictus, or rhythmical accent, are found on the first syllable of each of these two feet. If we assume that the first syllable of the iambus has the chief accent, the dochmius will be correctly expressed as a musical bar of the form—
dochmius
If the first syllable of the cretic is accented, the dochmius is divided between two bars, and becomes—
dochmius
The accompaniment or krousis, consisting of notes interposed between the phrases of the melody, is found by Dr. Wessely and Dr. Crusius in the following characters:
1. The character instrumentalZ appears at the end of every dochmius shown by the papyrus. After the first, third and fifth it is written in the same line with the text. After the seventh it is written above that line, between two vocal notes. Dr. Crusius takes it to be the instrumental Z, explaining the difference of shape as due to the necessity or convenience of distinguishing it from the vocal Z. If that were so the form instrumentalZ would surely have been permanent, and would have been given in the schemes of Alypius and Aristides Quintilianus. I venture to suggest that it is a mark intended to show the end of the dochmius or bar.
2. The group triad08 occurs twice, before and after the words deinôn ponôn. There is a difficulty about the sign sign, which Dr. Crusius takes to be a Vortragszeichen. The other two characters may be instrumental notes.
The double ω of ως (written ΩΩΣ) is interesting because it shows that when more than one note went with a syllable, the vowel or diphthong was repeated. This agrees with the well-known hei-ei-ei-ei-ei-eilissete of Aristophanes (Ran. 1314), and is amply confirmed by the newly discovered hymn to Apollo (p. 134).
Musical part of the Seikelos inscription.
Symbols
The inscription of which these lines form part was discovered by Mr. W. M. Ramsay, and was first published by him in the Bulletin de correspondance hellénique for 1883, p. 277. It professes to be the work of a certain Seikelos. The discovery that the smaller letters between the lines are musical notes was made by Dr. Wessely.
The Seikelos inscription, as Dr. O. Crusius has shown (Philologus for 1893, LII. p. 161), is especially valuable for the light which it throws upon ancient rhythm. The quantity of the syllables and the place of the ictus is marked in every case, and we are able therefore to divide the melody into bars, which may be represented as follows:
Symbols
The hymns recently discovered at Delphi.
Since these sheets were in type the materials for the study of ancient Greek music have received a notable accession. The French archaeologists who are now excavating on the site of Delphi have found several important fragments of lyrical poetry, some of them with the music noted over the words, as in the examples already known. The two largest of these fragments have been shown to belong to a single inscription, containing a hymn to Apollo, which dates in all probability from the early part of the third century B. C. Of the other fragments the most considerable is plausibly referred to the first century B. C. These inscriptions have been published in the Bulletin de correspondance hellénique (viii-xii. pp. 569-610), with two valuable commentaries by M. Henri Weil and M. Théodore Reinach. The former scholar deals with the text, the latter chiefly with the music.
The music of the hymn to Apollo is written in the vocal notation. The metre is the cretic or paeonic symbols, and the key, as M. Reinach has shown, is the Phrygian—the scale of C minor, with the conjunct tetrachord c—d♭—d—f.
In the following transcription I have followed M. Reinach except in a few minor points. When two notes are sung to the same syllable the vowel or diphthong is repeated, as in the fragment of the Orestes (p. 132): but I have thought it best to adhere to the modern method.
Symbols
Symbols
[Listen]
The notes employed in this piece of music cover about an octave and a half, viz. from Parypatê Hypatôn to the Chromatic Lichanos Hyperbolaiôn. In two of the tetrachords, viz. Synemmenôn and Hyperbolaiôn, the intervals employed are Chromatic (or possibly Enharmonic): in the tetrachord Diezeugmenôn they are Diatonic, while in the tetrachord Mesôn the Lichanos, which would distinguish the genus, is wanting. On the other hand there are two notes which do not belong to the Phrygian key as hitherto known, viz. O, a semitone below Mesê, and B, a semitone below Nêtê Diezeugmenôn. If we assume that we have before us Chromatic of the standard kind (chrôma toniaion), the complete scale is—
Chromatic Scale [Listen]
Enharmonic Scale [Listen]
If the intervals are Enharmonic, or Chromatic of a different variety, the moveable notes (in this case lambda_kappa and peace_star) will be somewhat flatter.
M. Reinach is particularly happy in tracing the successive changes of genus and key in the course of the poem. The opening passage, as he shows, is Diatonic. With the mention of the Gaulish invasion (Galatan arês) we come upon the group triad09 (g—a♭—a) of the Chromatic tetrachord Hyperbolaiôn. At the beginning of the second fragment the intervals are again Diatonic, up to the point where the poet turns to address the Attic procession (ithi, klyta megalopolis Aththis, k.t.l.). From this point the melody lies chiefly in the Chromatic tetrachord Synemmenôn tetrachord05 (c—d♭—d—f)—a modulation into the key of the sub-dominant as well as a change of genus. At the end of the fragment the poet returns to the Diatonic and the original key. With regard to the mode—the question which mainly concerns us at present—M. Reinach's exposition is clear and convincing. He appeals to three criteria,—(1) the impression which the music makes on a modern ear; (2) the endings of the several phrases and divisions; and (3) the note which recurs most frequently. All these criteria point to a Minor mode. The general impression made by the Diatonic parts of the melody is that of the key of C minor: the rhythmical periods end on one or other of the notes c-e♭-g, which form the chord of that key: and the note c distinctly predominates. This conclusion, it need hardly be said, is in entire agreement with the main thesis of the preceding pages.
The symbols O and B, which do not belong to the Phrygian scale, are explained by M. Reinach in a way that is in a high degree plausible and suggestive. In other keys, he observes, the symbol O stands for the note b (natural). Thus it holds the place of 'leading-note' (note sensible) to the keynote, c. It has hitherto been supposed that the standard scale of Greek music, the octave a-a, differed from the modern Minor in the want of a leading note. Here, however, we find evidence that such a note was known in practice, if not as a matter of theory, to Greek musicians. If this is so, it strongly confirms the view that c was in fact the key-note of the Phrygian scale. The symbol B, which occurs only once, answers to our g♭, and may be similarly explained as a leading note to g, the dominant of the key. We infer, with M. Reinach, that the scale employed in the hymn is not only like, but identical with, the scale of our Minor.
The fragment marked C by M. Weil resembles the hymn to Apollo in subject, and also in metre, but cannot belong to the same work. The melody is written in the Lydian key, with the notation which we have hitherto known as the instrumental, but which is now shown to have been used, occasionally at least, for vocal music. The fragment is as follows:
Symbols [Listen]
M. Reinach connects this fragment with a shorter one, also in the Lydian key, but not in paeonic metre, viz.—
Symbols [Listen]
.. thon es-che ma ... thê-ra kat-ek-ta.... syrigm' a-per..
M. Reinach thinks that the mode may be the so-called Hypo-lydian (the octave f—f). The materials are surely too scanty for any conclusion as to this.
The fragment D, the only remaining piece which M. Reinach has found it worth while to transcribe, is also written in the instrumental notation of the Lydian key. The metre is the glyconic. The fragment is as follows:—
Symbols
Symbols [Listen]
This piece also is referred by M. Reinach to the Hypo-lydian mode. It may surely be objected that of three places in which we may fairly suppose that we have the end of a metrical division, viz. those which end with the words Delphôn, prospolois and agêratô, two present us with cadences on the Mesê (d), and one on the Hypatê (a). This seems to point strongly to the Minor Mode.
On the whole it would seem that the only mode (in the modern sense of the word) of which the new discoveries tell us anything is a mode practically identical with the modern Minor. I venture to think this a confirmation, as signal as it was unexpected, of the main contention of this treatise.
It does not seem to have been observed by M. Weil or M. Reinach that in all these pieces of music there is the same remarkable correspondence between the melody and the accentuation that has been pointed out in the case of the Seikelos inscription (pp. 90, 91). It cannot indeed be said that every acute accent coincides with a rise of pitch: but the note of an accented syllable is almost always followed by a note of lower pitch. Exceptions are, aiolon, hina (which may have practically lost its accent, cp. the Modern Greek na), and molete (if rightly restored). The fall of pitch in the two notes of a circumflexed syllable is exemplified in manteion, heilen, Galatan, Phoibon, ôdaisi, klytais, bômoisin, homou: the opposite case occurs only once, in thnatois. The observation holds not only of the chief hymn, but of all the fragments.
| AUTHOR | PAGE |
| Anonymi Scriptio de Musica, § 28 (the modes employed on different instruments), |
27 |
| Aristides Quintilianus (ed. Meib.): | |
| p. 10 (Lichanos), | 31 |
| p. 13 (ethos of music), | 63, 66 |
| p. 15 (kata dieseis harmonia), | 53, 98 |
| p. 21 (Modes in Plato's Republic), | 94 - 100 |
| p. 28 (topoi tês phônês), | 63 |
| Aristophanes, Eq. 985-996 (Dorian Mode), | 7, 42 |
| Aristotle: | |
| Metaphysics, iv. 11, p. 1018 b 26 (archê), | 46 |
| Politics, iv. 3, p. 1290 a 20 (Dorian and Phrygian), | 105 |
| viii. 5-7, pp. 1340-1342 (ethos of music), | 9, 12, 13,107 |
| viii. 7, p. 1342 a 32 (Phrygian Mode), | 12, 13,107 |
| Problems, xix. 20, p. 919 a 13 (Mesê), | 43, 82,102,107 |
| 26, p. 919 b 21 (harmonia=System), | 55 |
| 33, p. 920 a 19 (Hypatê), | 44 |
| 36, p. 920 b 7 (Mesê), | 44 |
| 47, p. 922 b 3 (heptachord scales), | 33 |
| 48, p. 922 b 10 (modes used by chorus), | 14 |
| 49, p. 922 b 31 (high and low pitch), | 15 |
| Rhetoric, iii. 1, p. 1403 b 27 (tonos and harmonia), | 15 |
| Aristoxenus (ed. Meib.): | |
| Harm. p. 2, l. 15 (diagrams of harmoniai), | 49 |
| p. 3 (melody of speech), | 115 |
| p. 6 (nomenclature by thesis or position), | 81 |
| p. 6, l. 20 (species of the Octave), | 50 |
| p. 8 (speaking and singing), | 115 |
| p. 8, l. 12 (perfect System), | 36 |
| p. 18 (melody of speech), | 90, 115 |
| p. 23 (Chromatic and Enharmonic), | 110 |
| p. 26, l. 14 (Lichanos indefinite), | 110 |
| p. 27, l. 34 (diagrams), | 52 |
| p. 36, l. 29 (seven harmoniai), | 51, 54 |
| p. 37 (tonoi or keys), | 17 - 19 |
| p. 48, l. 13 (Lichanos indefinite), | 110 |
| p. 69, l. 6 (nomenclature by position), | 81 |
| ibid. (indefinite element in music), | 111 |
| Bacchius (ed. Meib.), p. 11 (topoi tês phônês), | 65 |
| p. 19 (theseis tetrachordôn), | 82 |
| Dionysius Hal.: | |
| c. 11, p. 58 Reisk. (accent and melody), | 90,115 |
| c. 11, p. 64 Reisk. (rhythm and quantity), | 115 |
| Euclid (ed. Meib.): | |
| Introductio, p. 19 (ten-stringed lyre), | 38 |
| p. 20 (modulation), | 104 |
| Sectio Canonis, Prop. xvii, xviii, | 23 |
| Euripides, Orest. 338-343 (musical setting), | 92,130 |
| Heraclides Ponticus ap. Athen. xiv. pp. 624-626 (modes), | 9 - 11, 76 |
| Lasus ap. Athen. xiv. p. 624 e (Aiolis harmonia), | 6 |
| Nicomachus (ed. Meib), p. 4 (speaking and singing), | 115 |
| p. 7 (heptachord scales), | 76 |
| Pausanias, iv. 27, 4 (Sacadas and Pronomus), | 75 |
| Pherecrates ap. Plut. de Mus. c. 30, | 38 |
| Pindar, Nem. iv. 45 (Lydian), | 7 |
| Plato: | |
| Phileb. p. 17 (harmonia = System), | 55 |
| Laches, p. 188 (Dorian, Ionian, Phrygian, Lydian), | 8 |
| Repub. p. 398 (use of modes in education), | 7 - 8 |
| p. 399 (aulos—poluchordia)., | 39, 41 |
| p. 531 A (study of music), | 53,123 |
| Laws, p. 669 (instrumental music), | 120 |
| p. 812 D (harmony), | 122 |
| Plutarch: | |
| De Musica, c. 6 (harmoniai), | 25 |
| cc. 15-17 (Platonic modes), | 21 - 25,103 |
| c. 19 (tonos, harmonia), | 26 |
| De gener. Mundi, p. 1029 c (Proslambanomenos), | 39 |
| Pollux, Onom. iv. 78 (harmoniai aulêtikai), | 22, 28 |
| Pratinas ap. Athen. xiv. p. 624 f (mête syntonon k.t.l.), | 5 |
| Ptolemy: | |
| Harm. i. 13 (musical ratios of Archytas), | 123 |
| i. 16 (hêgemôn=highest note), | 45 |
| ibid. (scales of the cithara), | 84 - 86,102,123 |
| ibid. (Pythagorean division), | 87 |
| ii. 6 (modulation), | 67 |
| ii. 7 (pitch of scales), | 80 |
| ii. 16 (scales of the cithara), | 84,102 |
| Seikelos inscription, | 89,132 |
| Telestes ap. Athen. xiv. p. 625 f (Phrygian and Lydian), | 6 |
| Theon Smyrnaeus, c. 8 (enlargement of scale), | 37 |
Note on the Seikilos Inscription (pp. 89-91, 133).
Since the publication of this work, the Seikilos inscription has been examined afresh by Mr. J. A. R. Munro (of Lincoln College, Oxford). The result of his examination is to show that the last note of the melody has been misread. From a squeeze which he has kindly placed at my disposal it appears that the word apaitei is written—
Sympols
The line drawn under the three notes triad10 has caused the last to be read as reversegamma, which has no meaning here. In fact it is a reversed Gamma (g apestrammenon), and answers to our e natural.
Hence the last line of the transcription on pp. 89-90 should be as follows:
Music Score
to te-los ho chro-nos a-pai—tei
[Listen]
The importance of this correction is obvious. The scale employed is now seen to be the octave—
If, as I ventured to suggest on p. 90, the mode is the Hypo-phrygian (the scale of our Major mode, but with a flat Seventh), the key-note will be a. The close on the Dominant e will then have to be noted as a fact supporting the belief that in Greek music the close on the Dominant or Hypatê was the usual one (see p. 45).
The line drawn under the three symbols triad11 is found in several other cases where the melody gives more than one note for a syllable. So diad01 (l. 2), and diad02 (l. 3), diad03 and diad02 (l. 4). It does not appear however under triad12 (l. 1).
D. B. M.
[1] Plato, Rep. p. 400 b alla tauta men, ên d' egô, kai meta Damônos bouleusometha, tines te aneleutherias kai hybreôs ê manias kai allês kakias prepousai baseis, kai tinas tois enantiois leipteon rhythmous.
[2] It is foreign to our purpose to discuss the critical problems presented by the text of Aristoxenus. Of the three extant books the first is obviously a distinct treatise, and should probably be entitled peri archôn. The other two books will then bear the old title harmonika stoicheia. They deal with the same subjects, for the most part, as the first book, and in the same order,—a species of repetition of which there are well-known instances in the Aristotelian writings. The conclusion is abrupt, and some important topics are omitted. It seems an exaggeration, however, to describe the Harmonics of Aristoxenus as a mere collection of excerpts, which is the view taken by Marquard (Die harmonischen Fragmente des Aristoxenus, pp. 359-393). See Westphal's Harmonik und Melopöie der Griechen (p. 41, ed. 1863), and the reply to Marquard in his Aristoxenus von Tarent (pp. 165-170). is not given in the Harmonics which we have: but we find there what is in some respects more valuable, namely, a vivid account of the state of things in respect of tonality which he observed in the music of his time.
[3] Harm. p. 37, 19 Meib. houtô gar hoi men tôn harmonikôn legousi barytaton men ton Hypodôrion tôn tonôn, hêmitoniô de oxyteron toutou ton Mixolydion, toutou de hêmitoniô ton Dôrion, tou de Dôriou tonô ton Phrygion: hôsautôs de kai tou Phrygiou ton Lydion heterô tonô. Westphal (Harmonik und Melopöie p. 165) would transfer the words hêmitoniô ... Mixolydion to the end of the sentence, and insert oxyteron before ton Dôrion. The necessity for this insertion shows that Westphal's transposition is not in itself an easy one. The only reason for it is the difficulty of supposing that there could have been so great a difference in the pitch of the Mixo-lydian scale. As to this, however, see p. 23 (note).
The words Hypophrygion aulon have also been condemned by Westphal (Aristoxenus, p. 453). He points out the curious contradiction between pros tên tôn aulôn trypêsin blepontes and the complaint ti d' esti pros ho blepontes ... ouden eirêkasin. But if pros tên ... blepontes was a marginal gloss, as Westphal suggests, it was doubtless a gloss on aulon, and if so, aulon is presumably sound. Since the aulos was especially a Phrygian instrument, and regularly associated with the Phrygian mode (as we know from Aristotle, see p. 13), nothing is more probable than that there was a variety of flute called Hypo-phrygian, because tuned so as to yield the Hypo-phrygian key, either by itself or as a modulation from the Phrygian.
In this scheme the important feature—that which marks it as an advance on the others referred to by Aristoxenus—is the conformity which it exhibits with the diatonic scale. The result of this conformity is that the keys stand in a certain relation to each other. Taking any two, we find that certain notes are common to them. So long as the intervals of pitch were quite arbitrary, or were practically irrational quantities, such as three-quarters of a tone, no such relation could exist. It now became possible to pass from one key to another, i. e. to employ modulation (metabolê) as a source of musical effect. This new system had evidently made some progress when Aristoxenus wrote, though it was not perfected, and had not passed into general use.