ΠΑΓ ΜΣΝ ΠΑΓ ΙΔΕΑ Σ ΣΗΟΓΠ ΦΟΓ ΠΑΓΜΕΝΙΔΕΑΣ βΡΟΤΗΕΓ οφ ΑΝΤΙΠΗΟΝ πηΣ ΓΣφΓΑΙΝ ΨΓΣΑΤΕΔ ΒΥ ΤΗΕ ΔΕΛΤΑ
An antiphon (Greek ἀντίφωνον, ἀντί "opposite" and φωνή "voice") is a short chant
sung as a refrain. The texts of antiphons are the Psalms. Their form was favored by St Ambrose and they feature prominently in Ambrosian chant, but they are used widely in Gregorian chant as well. They may be used during Mass, for the Introit, the Offertory or the Communion. They may also be used in the Liturgy of the Hours, typically for Lauds or Vespers.
They should not be confused with Marian antiphons or processional antiphons.
When a chant consists of alternating verses (usually sung by a cantor) and responses (usually sung by the congregation), a refrain is
ON THE PENTAD
73
and the animal under the hexad
then the vegetative necessarily falls under the pentad
with the result that the pentad is the minimal extreme of life
For the monad is the root of all generations
and the dyad is change in respect of a single dimension
the triad in respect of a second dimension
the tetrad in respect of a third more complete dimension -
the pentad is change in respect of all addition and increase
which falls under the vegetative aspect of the soul
in which perception in general
(it goes
without
saying)
is also interspersed.
They call the pentad 'Nemesis.' At any rate, it distributes
the heavenly and divine
and physical elements by means of five
it distributes
the five forms
to
the cyclical movements
both
of the moon
and
of the rest
of the heavenly bodies —
the movements being
evening setting
evening rising
dawn setting
dawn rising
and simple revolution
which involves no setting or rising
it distributes those heavenly bodies which are on epicycles
to two stationary modes
or to progression
or to retrogression
and those which are not to one natural regularity. 21
The general structure of plants is five-fold — root, stem, bark, leaf and fruit. \And there are five precipitations — of rain, snow, dew, hail and frost —
and five exhalations — steam, smoke, fog, mist and the so-called whirlwind
which some call 'cyclone.'
This is why another word for pentad is 'pempad,'22.
because these movements are sent upwards
and are subsumed under the pentad.
22. The root of the word translated 'sent' is ~pemp~.
Because it levels out inequality
they call it 'Providence' and 'justice'
(division, as it were),
23 23. The word for 'division' ( dichesis )
is similar to that for 'justice' [dike)-, see also p. 46, n. 12.
and
'Bubastian'
because of being honored at Bubastos in Egypt, 24 24. Bubastis was an Egyptian deity, identified with Isis or, in the Roman system, Diana; the place here called 'Bubastos' was the town around her temple.
and 'Aphrodite' because it binds to each other a male and female number. 25 Likewise, it is called 'nuptial' and 'androgyny' and 'demigod' — the latter not only because it is half of ten, which is divine, but also because in its special diagram it is assigned the central place. 26 And it is called 'twin' because it divides in two the decad, which is otherwise indivisible; and 'immortal' and 'Pallas,' because it reveals the fifth essence; 27 and 'heart-like' because of the analogy of the heart being assigned the center in living creatures.
Solid: A number which can be portrayed as a three-dimensional array of evenly spaced dots. See: Cube , Scalene.
Spherical: A cube number whose last digit is the same as the last digit of the side number. Also called 'recurrent.' So a spherical number is bound to end in 1, 5 or 6. Examples: 216 (6 3 ), 1331 (1 1 3 ).
Square: A number which can be portrayed as a square of evenly spaced dots. These are the familiar square numbers. Also called 'equal-times-equal.' Note that square numbers are formed by the addition of any number of successive odd numbers in the sequence of natural numbers (see also under Gnomon ): 1+3=4, 1 +3+5=9, etc. See also: Circular.
Submultiple: The opposite to a multiple, i.e. a number which cannot be factorized (and is therefore prime), but which is a factor of some other number.
Triangular: A number which can be portrayed as a triangle of evenly spaced dots.
any triangular number is half an oblong number
triangular numbers are formed
by the addition of any number
s of successive terms in
the sequence of natural numbers: 1+2=3, l+2+3=6, etc.
B. Other Terms
Color: Surface, or surface area.
have to admit off the bat that these eyes have not rolled over the valleys and hills of all of the Platonic ponder-rings...so there is that and



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