Iakovos Nafpliotis Ἐν τοῖς ῥείθροις : Interval analysis
(by GKM)
using FREE Sonic Audio Visualizer
Interval retrieval using VISUAL
"statistics". Truly scientific work MUST be
done to obtain Statistical algorithms so as to optimize correct frequency
detection within well defined confidence intervals.
The current method’s confidence intervals are within +/- 3 cents
for densely stabilised
notes, with little vibrato
(such as those
produced by an electronic device).
Iakovos’s
voice has little vibrato, and compensates somewhat for the overall sample’s noise
Ἐν τοῖς ῥείθροις σήμερον
τοῦ
Ἰορδάνου, γεγονὼς ὁ Κύριος,
τῷ
Ἰωάννῃ ἐκβοᾷ. Μὴ δειλιάσῃς βαπτίσαι με· σῶσαι γὰρ
ἥκω,
Ἀδὰμ τὸν
πρωτόπλαστον.
Example chosen = "Epephanis simeron: En tois Reithrois" as chanted by Iakovos
Nafpliotis accompanied by Konstantinos
Pringos, in an old 78 rpm recording = LOTS of noise,
LOTS of flunctuation therefore quite DIFFICULT to
locate stable passages.
NB: In Gregorian Chant, some hymns of
Tone VIII (e.g. Kyrie
XII “Pater Cuncta”,
“Rex immense pater
pie”) sound better when mainly using the PENTATONIC scale for
passages ABOVE the tonic note (this particular “Kyrie”
resembles psaltic 4th mode.
Notes above Di should contain very
large tones.
Given the debate as concerns the psaltic mode of this hymn (although the text is classified
as being of FOURTH mode), notes will be described from 0 to 1, where 0 is the
lowest note, where the hymn concludes.
The initial and lowest note is at about 329,09 Hz.
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frequency |
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cents |
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units (72) |
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units (68) |
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units (66) |
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cents |
ROUND |
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72 |
ROUND |
Expected |
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68 |
ROUND |
Expected |
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66 |
ROUND |
Expected |
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0 |
329,09 |
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329,09 |
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0 |
0 |
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0 |
0 |
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0 |
0 |
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0 |
0 |
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7 |
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Basis (end) |
329,09 |
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375,174 |
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226,8932 |
227 |
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13,61359 |
14 |
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12,85728 |
13 |
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12,47913 |
12 |
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329,09 |
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429,793 |
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462,1918 |
462 |
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27,73151 |
28 |
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26,19087 |
26 |
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25,42055 |
25 |
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329,09 |
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330,691 |
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8,401913 |
8 |
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0,504115 |
1 |
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0,476108 |
0 |
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0,462105 |
0 |
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329,09 |
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441,421 |
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508,4077 |
508 |
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30,50446 |
31 |
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28,80977 |
29 |
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27,96242 |
28 |
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329,09 |
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562,674 |
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928,5805 |
929 |
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55,71483 |
56 |
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52,61956 |
53 |
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51,07193 |
51 |
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329,09 |
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444,647 |
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521,0139 |
521 |
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31,26083 |
31 |
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29,52412 |
30 |
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28,65577 |
29 |
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329,09 |
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499,585 |
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722,6976 |
723 |
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43,36185 |
43 |
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40,95286 |
41 |
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39,74837 |
40 |
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329,09 |
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417,456 |
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411,7703 |
412 |
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24,70622 |
25 |
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23,33365 |
23 |
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22,64737 |
23 |
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329,09 |
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504,458 |
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739,5024 |
740 |
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44,37014 |
44 |
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41,90513 |
42 |
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40,67263 |
41 |
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329,09 |
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497,166 |
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714,2945 |
714 |
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42,85767 |
43 |
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40,47669 |
40 |
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39,2862 |
39 |
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329,09 |
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447,896 |
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533,6179 |
534 |
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32,01707 |
32 |
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30,23835 |
30 |
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29,34899 |
29 |
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329,09 |
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382,53 |
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260,5088 |
261 |
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15,63053 |
16 |
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14,76217 |
15 |
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14,32799 |
14 |
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329,09 |
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577,898 |
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974,7992 |
975 |
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58,48795 |
58 |
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55,23862 |
55 |
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53,61396 |
54 |
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VARIANCE |
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! |
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Linear Regression |
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Frequency ( in Hz) |
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Cents |
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329,09 |
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0 |
1 |
2 |
3 |
4 |
5 |
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0 |
1 |
2 |
3 |
4 |
5 |
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En |
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0 |
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329,09 |
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0 |
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tois rei- |
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1 |
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375,17 |
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227 |
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ei |
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2 |
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429,8 |
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462 |
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throis |
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0 |
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330,691 |
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8 |
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Ky |
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2 |
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441,421 |
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508 |
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497,166 |
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714 |
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499,585 |
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723 |
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504,458 |
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740 |
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diliAAAAsis |
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562,67 |
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929 |
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gar IIIIIII ko |
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577,9 |
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975 |
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Απαντησις
εις ΦΑΛΤΣΑ του
Αρβανιτη
(ΕΔΩ)
Response to
Arvanitis’ FALTSO singing
(HERE)