Notation Check

Have I got these right?

frequency based on 2* = 12 half-steps frequency based on 3* = 19
half-steps frequency based on 5* = 28 half-steps half-steps
from middle C color on keyboard place on staff name of note
1290.16 1292.31 1280.00 28 white key e''
1217.75 1219.70 1208.50 27 black key d'' sharp or
e'' flat
1149.40 1151.18 1140.99 26 white key d''
1084.89 1086.50 1077.26 25 black key c'' sharp or
d'' flat
1024.00 1025.46 1017.08 24 white key c''
966.53 967.85 960.27 23 white key space b'
912.28 913.47 906.63 22 black key a' sharp or
b' flat
861.08 862.15 855.99 21 white key line a'
812.75 813.72 808.17 20 black key g' sharp or
a' flat
767.13 768.00 763.03 19 white key space g'
724.08 724.85 720.41 18 black key f' sharp or
g' flat
683.44 684.13 680.17 17 white key line f'
645.08 645.69 642.17 16 white key space e'
608.87 609.42 606.30 15 black key d' sharp or
e' flat
574.70 575.18 572.43 14 white key line d'
542.45 542.86 540.46 13 black key c' sharp or
d' flat
512.00 512.37 510.27 12 white key space c'

483.26 483.58 481.77 11 white key line b

456.14 456.41 454.85 10 black key a sharp or b
flat
430.54 430.77 429.45 9 white key space a

406.37 406.57 405.46 8 black key g sharp or a
flat
383.57 383.73 382.81 7 white key line g G-
clef or Treble clef
362.04 362.17 361.43 6 black key f sharp or g
flat
341.72 341.82 341.24 5 white key space f

322.54 322.62 322.18 4 white key line e

304.44 304.49 304.18 3 black key d sharp or e
flat
287.35 287.38 287.19 2 white key space d

271.22 271.24 271.15 1 black key c sharp or d
flat
256.00 256.00 256.00 0 white key line c C-
clef, Alto clef, or Tenor clef middle C
241.63 241.62 241.70 -1 white key space B

228.07 228.04 228.20 -2 black key B flat or A
sharp
215.27 215.23 215.45 -3 white key line A
203.19 203.14 203.42 -4 black key A flat or G
sharp
191.78 191.73 192.05 -5 white key space G
181.02 180.95 181.33 -6 black key G flat or F
sharp
170.86 170.79 171.20 -7 white key line F F-
clef or Bass clef
161.27 161.19 161.63 -8 white key space E
152.22 152.14 152.61 -9 black key E flat or D
sharp
143.68 143.59 144.08 -10 white key line D
135.61 135.52 136.03 -11 black key D flat or C
sharp
128.00 127.91 128.43 -12 white key space C
120.82 120.72 121.26 -13 white key line BB
114.04 113.94 114.49 -14 black key BB flat or AA
sharp
107.63 107.54 108.09 -15 white key space AA
101.59 101.50 102.05 -16 black key AA flat or GG
sharp
95.89 95.79 96.35 -17 white key line GG
90.51 90.41 90.97 -18 black key GG flat or f
sharp
85.43 85.33 85.89 -19 white key space FF
80.63 80.54 81.09 -20 white key line EE
76.11 76.01 76.56 -21 black key EE flat or DD
sharp
71.84 71.74 72.29 -22 white key space DD
67.81 67.71 68.25 -23 black key DD flat or CC
sharp
64.00 63.91 64.44 -24 white key CC
60.41 60.32 60.84 -25 white key BBB
57.02 56.93 57.44 -26 black key BBB flat or
AAA sharp
53.82 53.73 54.23 -27 white key AAA
50.80 50.71 51.20 -28 black key AAA flat or
GGG sharp

At 03:54 PM 10/30/2008, you wrote:
>Have I got these right?

Sorry about the delay in your post, Tom. Your message
was caught in the group's spam filter.

Your table came out pretty badly wrapped in my e-mail
client. Can you put it on the web somewhere or try
posting again with different formatting?

Thanks,

-Carl

--- In tuning-math@yahoogroups.com, "tomhchappell" <tomhchappell@...>
wrote:
>
> Have I got these right?

Did you meant the ordinary:
http://en.wikipedia.org/wiki/Piano_key_frequencies
?

But i do perfer to tune my own piano in the absolute-pitches in 5ths:

A1 = 110 220 440Hz
E4 = 329 ( < 330 := 3*A1 )
B5 = 987 := 3*E4
F#3 = 185 370 740 1480 2960 ( < 2961 := 3*B5 )
C#5 = 555 := 3*F#3
[G#-1 = 13 26 ] 52 104 208 416 832 1664 ( < 1665 := 3*C#5 )
Eb1 = 39 := 3*G#-1
Bb2 = 117 := 3*Eb1
F4 = 351 := 3*Bb2
C4 = 263 526 1052 ( < 1053 := 3*F4 )
G3 = 197 394 788 ( < 789 := 3*C4 )
D5 = (147 294 588 < ) 589 ( < 591 := 3*G3 )
A4 = 440 ( < 441 := 3*147)

!
!Sparschuh440Hz.scl
!
c"526#555 d"589#624 e"658 f"702#740 g"788#832 a"880#936 b"987
12
!
555/526
589/526 ! d"
624/526
658/526 ! e"
702/526 ! f"
740/526
788/526 ! g"
832/526
880/526 ! a" := 2 * 440Hz
936/526
987/526 ! b"
2/1
!

because, that's much easier to check
and sounds better in my ears.

bye
A.S.

To Carl Lumma:
That's OK, Carl. Wikipedia did it better. I couldn't find it the
other day, though.

---In tuning-math@yahoogroups.com, "Andreas Sparschuh"
><a_sparschuh@...> wrote:
>[snip]
> Did you meant the ordinary:
> http://en.wikipedia.org/wiki/Piano_key_frequencies
> ?

Yes, that's what I meant.
I think I got it wrong; c is "low C" and c' is "middle C", but I
think I wrote c for "middle C" and c' for "tenor C".

>But i do perfer to tune my own piano in the absolute-pitches in 5ths:
>[snip]
> because, that's much easier to check
> and sounds better in my ears.
>
> bye
> A.S.

Thanks!

--- In tuning-math@yahoogroups.com, "tomhchappell" <tomhchappell@...>
wrote:
>
> > http://en.wikipedia.org/wiki/Piano_key_frequencies
>
> Yes, that's what I meant.
> I think I got it wrong; c is "low C" and c' is "middle C", but I
> think I wrote c for "middle C" and c' for "tenor C".
>
but then yours own personal conotation causes confusion,
when compared against the common usual:
http://en.wikipedia.org/wiki/Helmholtz_pitch_notation
or
http://www.claviersbaroques.com/CBExpertHelmholtzNotation.htm
http://www.dolmetsch.com/musictheory1.htm
http://arts.ucsc.edu/faculty/carson/course_materials/100B/pitch-names.pdf
http://whitefiles.org/b1_s/1_free_guides/fg1mt/pgs/h15h.htm
"...and Helmholtz notation, as favoured by academics."
http://wapedia.mobi/en/Helmholtz_pitch_notation

on the guitar:
http://www.bitchfindergenital.com/code/helmholtz_tables.htm

bye
A.S.