utf8 hash keys revisited: How can i use musical symbols as hash keys?

karlgoethebier has asked for the wisdom of the Perl Monks concerning the following question:

Replies are listed 'Best First'.
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by kennethk (Abbot) on Oct 06, 2014 at 20:06 UTC
`"a\x{266F}/b\x{266D}"` is equivalent to "a♯/b♭". You should see your expected result if you `print join "\n", keys %helmholtz_to_midi`. Data::Dump outputs in an escaped form, just in case. #11929 First ask yourself `How would I do this without a computer?' Then have the computer do it the same way.	[reply] [d/l] [select]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 07:18 UTC
Thank you kennethk for advice. I jumped to the wrong conclusion ;-) It works as expected. Best regards, Karl ŤThe Crux of the Biscuit is the Apostropheť	[reply]
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Your Mother (Archbishop) on Oct 06, 2014 at 20:13 UTC
kennethk already answered, just chiming in with the name notation version because it makes inlining stuff more legible (than some approaches). `perl -CSD -Mcharnames=:full -le 'print "\N{MUSICAL SYMBOL GLISSANDO UP}a\N{MUSIC SHARP SIGN}"'` 𝆱a♯	[reply] [d/l]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 06, 2014 at 21:09 UTC
Yes Your Mother, `$sharp = qq(\N{MUSIC SHARP SIGN});` looks much more concise. Thank you very much for the hint and best regards, Karl ŤThe Crux of the Biscuit is the Apostropheť	[reply] [d/l]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by ikegami (Patriarch) on Oct 08, 2014 at 02:19 UTC
Don't even need `use charnames ':full';` any more.	[reply] [d/l]
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Jim (Curate) on Oct 06, 2014 at 23:08 UTC
Consider this alternative, more extensible way of handling enharmonic notes. use v5.14; use strict; use warnings; use utf8; binmode STDOUT, ':encoding(UTF-8)'; my %helmholtz_to_midi; while (<DATA>) { chomp; my ($helmholtz_note_name, $midi_octave, $midi_note_number, $frequency) = split m/,/, $_, 4; $helmholtz_to_midi{$helmholtz_note_name} = { midi_octave => $midi_octave, midi_note_number => $midi_note_number, frequency => $frequency, }; } say $helmholtz_to_midi{'C₂'}{midi_octave}; # Prints -4 say $helmholtz_to_midi{'cš'}{midi_note_number}; # Prints 60 say $helmholtz_to_midi{'aš'}{frequency}; # Prints 440.0000000000 say $helmholtz_to_midi{'a♯š'}{frequency}; # Prints 466.1637615181 say $helmholtz_to_midi{'b♭š'}{frequency}; # Prints 466.1637615181 say $helmholtz_to_midi{'g⁵'}{frequency}; # Prints 6271.9269757080 exit 0; __DATA__ C₂,-4,12,16.3515978313 C♯₂,-4,13,17.3239144361 D♭₂,-4,13,17.3239144361 D₂,-4,14,18.3540479948 D♯₂,-4,15,19.4454364826 E♭₂,-4,15,19.4454364826 E₂,-4,16,20.6017223071 F₂,-4,17,21.8267644646 F♯₂,-4,18,23.1246514195 G♭₂,-4,18,23.1246514195 G₂,-4,19,24.4997147489 G♯₂,-4,20,25.9565435987 A♭₂,-4,20,25.9565435987 A₂,-4,21,27.5000000000 A♯₂,-4,22,29.1352350949 B♭₂,-4,22,29.1352350949 B₂,-4,23,30.8677063285 C₁,-3,24,32.7031956626 C♯₁,-3,25,34.6478288721 D♭₁,-3,25,34.6478288721 D₁,-3,26,36.7080959897 D♯₁,-3,27,38.8908729653 E♭₁,-3,27,38.8908729653 E₁,-3,28,41.2034446141 F₁,-3,29,43.6535289291 F♯₁,-3,30,46.2493028390 G♭₁,-3,30,46.2493028390 G₁,-3,31,48.9994294977 G♯₁,-3,32,51.9130871975 A♭₁,-3,32,51.9130871975 A₁,-3,33,55.0000000000 A♯₁,-3,34,58.2704701898 B♭₁,-3,34,58.2704701898 B₁,-3,35,61.7354126570 C,-2,36,65.4063913251 C♯,-2,37,69.2956577442 D♭,-2,37,69.2956577442 D,-2,38,73.4161919794 D♯,-2,39,77.7817459305 E♭,-2,39,77.7817459305 E,-2,40,82.4068892282 F,-2,41,87.3070578583 F♯,-2,42,92.4986056779 G♭,-2,42,92.4986056779 G,-2,43,97.9988589954 G♯,-2,44,103.8261743950 A♭,-2,44,103.8261743950 A,-2,45,110.0000000000 A♯,-2,46,116.5409403795 B♭,-2,46,116.5409403795 B,-2,47,123.4708253140 c,-1,48,130.8127826503 c♯,-1,49,138.5913154884 d♭,-1,49,138.5913154884 d,-1,50,146.8323839587 d♯,-1,51,155.5634918610 e♭,-1,51,155.5634918610 e,-1,52,164.8137784564 f,-1,53,174.6141157165 f♯,-1,54,184.9972113558 g♭,-1,54,184.9972113558 g,-1,55,195.9977179909 g♯,-1,56,207.6523487900 a♭,-1,56,207.6523487900 a,-1,57,220.0000000000 a♯,-1,58,233.0818807590 b♭,-1,58,233.0818807590 b,-1,59,246.9416506281 cš,0,60,261.6255653006 c♯š,0,61,277.1826309769 d♭š,0,61,277.1826309769 dš,0,62,293.6647679174 d♯š,0,63,311.1269837221 e♭š,0,63,311.1269837221 eš,0,64,329.6275569129 fš,0,65,349.2282314330 f♯š,0,66,369.9944227116 g♭š,0,66,369.9944227116 gš,0,67,391.9954359817 g♯š,0,68,415.3046975799 a♭š,0,68,415.3046975799 aš,0,69,440.0000000000 a♯š,0,70,466.1637615181 b♭š,0,70,466.1637615181 bš,0,71,493.8833012561 c˛,1,72,523.2511306012 c♯˛,1,73,554.3652619537 d♭˛,1,73,554.3652619537 d˛,1,74,587.3295358348 d♯˛,1,75,622.2539674442 e♭˛,1,75,622.2539674442 e˛,1,76,659.2551138257 f˛,1,77,698.4564628660 f♯˛,1,78,739.9888454233 g♭˛,1,78,739.9888454233 g˛,1,79,783.9908719635 g♯˛,1,80,830.6093951599 a♭˛,1,80,830.6093951599 a˛,1,81,880.0000000000 a♯˛,1,82,932.3275230362 b♭˛,1,82,932.3275230362 b˛,1,83,987.7666025122 cł,2,84,1046.5022612024 c♯ł,2,85,1108.7305239075 d♭ł,2,85,1108.7305239075 dł,2,86,1174.6590716696 d♯ł,2,87,1244.5079348883 e♭ł,2,87,1244.5079348883 eł,2,88,1318.5102276515 fł,2,89,1396.9129257320 f♯ł,2,90,1479.9776908465 g♭ł,2,90,1479.9776908465 gł,2,91,1567.9817439270 g♯ł,2,92,1661.2187903198 a♭ł,2,92,1661.2187903198 ał,2,93,1760.0000000000 a♯ł,2,94,1864.6550460724 b♭ł,2,94,1864.6550460724 bł,2,95,1975.5332050245 c⁴,3,96,2093.0045224048 c♯⁴,3,97,2217.4610478150 d♭⁴,3,97,2217.4610478150 d⁴,3,98,2349.3181433393 d♯⁴,3,99,2489.0158697766 e♭⁴,3,99,2489.0158697766 e⁴,3,100,2637.0204553030 f⁴,3,101,2793.8258514640 f♯⁴,3,102,2959.9553816931 g♭⁴,3,102,2959.9553816931 g⁴,3,103,3135.9634878540 g♯⁴,3,104,3322.4375806396 a♭⁴,3,104,3322.4375806396 a⁴,3,105,3520.0000000000 a♯⁴,3,106,3729.3100921447 b♭⁴,3,106,3729.3100921447 b⁴,3,107,3951.0664100490 c⁵,4,108,4186.0090448096 c♯⁵,4,109,4434.9220956300 d♭⁵,4,109,4434.9220956300 d⁵,4,110,4698.6362866785 d♯⁵,4,111,4978.0317395533 e♭⁵,4,111,4978.0317395533 e⁵,4,112,5274.0409106059 ,4,113,5587.6517029281 f♯⁵,4,114,5919.9107633862 g♭⁵,4,114,5919.9107633862 g⁵,4,115,6271.9269757080 g♯⁵,4,116,6644.8751612791 a♭⁵,4,116,6644.8751612791 a⁵,4,117,7040.0000000000 a♯⁵,4,118,7458.6201842894 b♭⁵,4,118,7458.6201842894 b⁵,4,119,7902.1328200980 c⁶,5,120,8372.0180896192 c♯⁶,5,121,8869.8441912599 d♭⁶,5,121,8869.8441912599 d⁶,5,122,9397.2725733570 d♯⁶,5,123,9956.0634791066 e♭⁶,5,123,9956.0634791066 e⁶,5,124,10548.0818212118 f⁶,5,125,11175.3034058561 f♯⁶,5,126,11839.8215267723 g♭⁶,5,126,11839.8215267723 g⁶,5,127,12543.8539514160 UPDATE: Changed subscripts to superscripts from cš through g⁶.	[reply]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 07:21 UTC
This is cool! Thank you Jim for sharing this. Best regards, Karl ŤThe Crux of the Biscuit is the Apostropheť	[reply]
Re^3: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Jim (Curate) on Oct 07, 2014 at 16:06 UTC
It's more extensible because, if you decide you need more enharmonic notes included in the data structure, you can easily add them. For example: ... b,-1,59,246.9416506281 c♭š,-1,59,246.9416506281 b♯,0,60,261.6255653006 cš,0,60,261.6255653006 d𝄫š,0,60,261.6255653006 c♯š,0,61,277.1826309769 d♭š,0,61,277.1826309769 c𝄪š,0,62,293.6647679174 dš,0,62,293.6647679174 e𝄫š,0,62,293.6647679174 ... It's also more extensible because it's a hash of a hash. More MIDI attributes can easily be added to the existing data structure as needed (e.g., absolute cents). (By the way, on the webpage titled MIDI Note Number and Frequency Table, there's at least one error. The frequency of MIDI note number 115, g⁵, is 6271.9269757080, not 5919.9107633862.)	[reply]
Re^4: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 17:16 UTC
Re^5: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Jim (Curate) on Oct 07, 2014 at 22:47 UTC
Re^4: utf8 hash keys revisited: How can i use musical symbols as hash keys? by RonW (Parson) on Oct 07, 2014 at 22:18 UTC
Re^5: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 23:02 UTC
Some notes below your chosen depth have not been shown here
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by RonW (Parson) on Oct 07, 2014 at 22:11 UTC
This is cool. Also, the names in your data set are actually Scientific pitch notation, not Helmholtz	[reply]
Re^3: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Jim (Curate) on Oct 07, 2014 at 22:56 UTC
Also, the names in your data set are actually Scientific pitch notation, not Helmholtz Look again. They're Helmholtz names, not scientific names. Except that I screwed up and inadvertently continued to use subscripts instead of superscripts when I got to cš. I just fixed them.	[reply]
Re^4: utf8 hash keys revisited: How can i use musical symbols as hash keys? by RonW (Parson) on Oct 08, 2014 at 16:19 UTC
Re^5: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Jim (Curate) on Oct 08, 2014 at 20:17 UTC
Re^5: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 08, 2014 at 22:01 UTC
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Laurent_R (Canon) on Oct 06, 2014 at 21:14 UTC
This is a bit irrelevant, but while A sharp and B flat are the same key on a piano and many other instruments (and indeed are the same in an equal-tempered tuning system), I am really not convinced that a virtuoso violonist or cellist, or an opera singer, would consider them as equivalent and would play exactly the same tone.	[reply]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 08:11 UTC
"This is a bit irrelevant..." Although this a bit OT for this forum i must tell you that it is relevant. Enharmonics are important for the harmonical context as i wrote already in the readmore section of my OP. "... a virtuoso violonist or cellist, or an opera singer, would consider them as equivalent and would play exactly the same tone." Some do and some not ;-) You can count yourself lucky if you can listen to a string quartett that does this right. A good explanation of the problem is Intonation und reine Stimmung, unfortunatly in german. See especially the section about the implications of tuning the violin in ~~pure~~ perfect fifths. For this see also Syntonic comma. This article might be also of interest, but be careful: "SuperCollider programming considered harmful". Btw, many years ago i attended a lecture of Johannes Fritsch where he demonstrated some of this phenomenons on a self-made Polychord. Very instructive and impressive. He could even whistle intervals in different temperaments. Edit: Fixed wrong term. Perfect isn't pure ;-) Best regards, Karl ŤThe Crux of the Biscuit is the Apostropheť	[reply]
Re^3: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Laurent_R (Canon) on Oct 07, 2014 at 19:17 UTC
Hi Karl, thanks for your answers. I am a very very very poor musician, having played clarinet for only about 15 years (I stopped when I started to program, unfortunately, although I am not entirely sure that it is related). BTW, I started to learn clarinet when I was living in your country (1980-1988) I wasn't doing too bad with clarinet after those 15 years, but it is clear that I am not, have never been and will never be a good amateur musician. I have a poor ear. And if I had no money and was going to be going to try to sing in the Paris metro to try to get a bit of money, the best I would get is money from people asking me to stop driving them mad. ;-) Having said all that, I have been very interested with the theory of music and acoustics, which is why I picked up on that. My own ear is certainly unable to hear the different between an A sharp and a B flat on a violin or in a string quartet. Yet, I have had the chance in the past (late 1980s) to meet a number of times with the members of the Amadeus Quartet, in my view most probably the best string quartet (or perhaps even the best chamber music ensemble) of the last quarter of the 20th century, and discuss these matters and many others with them, especially by their first violin, Norbert Brainin. It was very interesting, as you can imagine, to meet such dedicated and universally recognized professionals. I had to a large extent a math view of the subject (equal temperament, easy things, logarithms), although I knew that even a perfect fifth does not match the mathematical notion, but they (especially Norbert) changed my view of the subject, even though my musical knowledge and capabilities were close to zero compared to them. It is this experience that prompted me to answer your post, although it was perhaps not irrelevant, but certainly off-topic. I still thought it was interesting to raise the subject. Cheers, Laurent.	[reply]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by choroba (Cardinal) on Oct 06, 2014 at 21:27 UTC
For details, see Comma (music). لսႽ ᥲᥒ⚪⟊Ⴙᘓᖇ Ꮅᘓᖇ⎱ Ⴙᥲ𝇋ƙᘓᖇ	[reply]
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by Anonymous Monk on Oct 07, 2014 at 14:04 UTC
Many computer-nerds are also music-nerds. :-)	[reply]
Re^2: utf8 hash keys revisited: How can i use musical symbols as hash keys? by karlgoethebier (Abbot) on Oct 07, 2014 at 17:50 UTC
Musicians are nerds since hundreds of years. I think they are the real nerds. Try to get invited to a After Show-Party of a classical concert, or even better: enroll to some master class as a passive participant (it's not so expensive) regardless what instrument. And you will see the truth. Regards, Karl ŤThe Crux of the Biscuit is the Apostropheť	[reply]
Re: utf8 hash keys revisited: How can i use musical symbols as hash keys? by sundialsvc4 (Abbot) on Oct 08, 2014 at 00:22 UTC
J. S. Bach was one of the great music-nerds, but there were and still are a lot of others.	[reply]


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