SIDDIK YARMAN & OZAN YARMAN DUO (on Secor-tempered Grand Piano)

Önce Prof. Dr. OZAN YARMAN, hemen ardından ise -- sürpriz bir Alaturka kesitten sonra -- Prof. Dr. SIDDIK BİNBOĞA YARMAN ile Yeğeni beraber, yakın zaman önce George Secor'un (1943-2020) orantılı-vurulu özel bir temperamanına Ozan Yarman tarafından akortlanan amcasının piyanosunda doğaçlama yapıyor.


(Yahoogroups TUNING LIST grubunda bir vakitler Ozan Yarman'ın uzun uzadıya yazıştığı ve kendisinden epey öğrendiği müteveffa George Secor'un toprağı bol olsun...)


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The improvisation performance is by myself and, immediately afterwards -- following an Alla Turca interjection -- in accompaniment to my Uncle Prof. Dr. SIDDIK BİNBOĞA YARMAN on his home piano, which I tuned some time ago to a special proportional-beating well-temperament of George Secor (1943-2020).


(May George rest in peace... I used to converse with him on the Yahoogroups TUNING LIST way back and had learnt much from him.)


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*****
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Secor 5/23-comma Rational Temperament (Extra)ordinaire (c)
10 February 2006 - The best one!



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(I remember having had inspired George on the Tuning List more than a decade ago... He updated his scale a year later, which I share at the bottom and which I implemented for this video. --- Dr. Oz.)


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From: George Secor

8.30/2005 --- 12:43 AM



HEY EVERYONE!

Having been unable to ignore the discussion about equal-beating
temperaments lately, I have some startling news about a "temperament
(extra)ordinaire!"

I say "startling" because I never expected to be thinking about
dumping a couple of "optimal" tunings I devised 30 years ago in favor
of something that it took me less than a couple of hours to arrive at
this past Saturday.

But first I need to answer Ozan's message:

--- In [email protected], "Ozan Yarman" _ozanyarman@s..._ wrote:
= Dear George, by "equal beating" I mean firstly:
=
= 1) Equal beat-rates for intervals within a single triad,
=
= and secondly:
=
= 2) Equal beat rates for the same interval in two different triads.
=
= if you are in the know as to how to convert pitch information to
vibrations per second, I may perhaps demonstrate whether or not I
understand how to tune to `equal (or rather, even) beating`.

Well, whichever you mean, why don't I provide you with a spreadsheet
I was already working on to calculate frequencies (cols. W-Y), beat
rates (cols. S-U), beat ratios (cols. O-Q), and errors from just
(cols. G,I,K,M) from cents (cols.E-F):


.
.
.



Now you can experiment using the spreadsheet. Besides the fractions
of a didymus comma I already mentioned above, you may find 5/14,
5/19, and 5/21 to be of interest.

= Does your modified meantone contain any `equal-beating` intervals?

Nope, but my brand-new temperament (extra)ordinare does:

! secor12_1.scl
!
George Secor's 12-tone temperament ordinaire #1, proportional beating
12
!
86.53330
194.55680
294.12876
389.11361
499.91792
585.54105
697.27840
789.37483
891.83521
997.96292
1086.39201

2/1

It's in the 'temperament ordinaire' category, but after trying it out
on my Scalatron, I'd have to consider it a bit 'extradordinaire'.



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Rational Ratios (From said EXCEL spreadsheet dated 10 February 2006. This is the final update some months after his message. --- Dr. Oz.)


Num. Denom. Cents from C
70 / 59 295.96796
1051 / 590 999.57097
315 / 236 499.87796
1 / 1 0.00000
353 / 236 697.05759
66 / 59 194.10128
395 / 236 891.67895
591 / 472 389.24552
221 / 118 1086.31141
331 / 236 585.65323
62 / 59 85.86391
745 / 472 790.14428


(IMPLEMENTED USING PETERSON AUTOSTROBE 590 prior to the Covid-19 outbreak)

#OzanYarman, #SıddıkYarman