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Musical Rhythms with Math in Perl Furnished content.excellent little book called “Creating Rhythms” that has been turned into C, Perl, and Python . It features a number of algorithms that produce or modify lists of numbers or bit-vectors (of ones and zeroes). These can be beat onsets (the ones) and rests (the zeroes) of a rhythm. We’ll check out these concepts with Perl.For each example, we’ll save the MIDI with the MIDI::Util module. Also, in order to actually hear the rhythms, we will need a MIDI synthesizer. For these illustrations, fluidsynth will work. Of course, any MIDI capable synth will do! I often control my eurorack analog synthesizer with code (and a MIDI interface module).Here’s how I start fluidsynth on my mac in the terminal, in a separate session. It uses a generic soundfont file (sf2) that can be downloaded here (124MB zip).fluidsynth -a coreaudio -m coremidi -g 2.0 ~/Music/soundfont/FluidR3_GM.sf2 JBARRETT ’s MIDI::RtMidi::FFI::Device , you can do this:use MIDI::RtMidi::FFI::Device ();my = RtMidiIn-> new ;my = RtMidiOut-> new ;print "Input devices:\n" ;-> print_ports;print "\n" ;print "Output devices:\n" ;-> print_ports;print "\n" ;fluidsynth is alive and ready for interaction.Okay, on with the show!First-up, let’s look at partition algorithms. With the part() function, we can generate all partitions of n, where n is 5, and the “parts” all add up to 5. Then taking one of these (say, the third element), we convert it to a binary sequence that can be interpreted as a rhythmic phrase, and play it 4 times.#!/usr/bin/env perl use strict;use warnings;use Music::CreatingRhythms ();my = Music::CreatingRhythms-> new ;my = -> part(5 );# [ [ 1, 1, 1, 1, 1 ], [ 1, 1, 1, 2 ], [ 1, 2, 2 ], [ 1, 1, 3 ], [ 2, 3 ], [ 1, 4 ], [ 5 ] ] my $p = -> [2 ]; # [ 1, 2, 2 ] my = -> int2b([$p]); # [ [ 1, 1, 0, 1, 0 ] ] use MIDI::Util qw(setup_score) ;my = setup_score(bpm => 120 , channel => 9 );for (1 .. 4 ) { for my (-> [0 ]-> @* ) { if () { -> n('en' , 40 ); } else { -> r('en' ); } } } -> write_score('perldotcom-1.mid' );fluidsynth like this:fluidsynth -i ~/Music/soundfont/FluidR3_GM.sf2 perldotcom-1.mid Your browser does not support the audio element. Not terribly exciting yet.Let’s see what the “compositions” of a number reveal. According to the Music::CreatingRhythms docs, a composition of a number is “the set of combinatorial variations of the partitions of n with the duplicates removed.”Okay. Well, the 7 partitions of 5 are:[[1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 1, 3], [1, 2, 2], [1, 4], [2, 3], [5]]5 are:[[1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 1, 2, 1], [1, 1, 3], [1, 2, 1, 1], [1, 2, 2], [1, 3, 1], [1, 4], [2, 1, 1, 1], [2, 1, 2], [2, 2, 1], [2, 3], [3, 1, 1], [3, 2], [4, 1], [5]][1, 2, 2], but also its variations: [2, 1, 2] and [2, 2, 1]. Same with the other partitions. Selections from this list will produce possibly cool rhythms.Here are the compositions of 5 turned into sequences, played by a snare drum, and written to the disk:use Music::CreatingRhythms ();use MIDI::Util qw(setup_score) ;my = Music::CreatingRhythms-> new ;my = -> compm(5 , 3 ); # compositions of 5 with 3 elements my = -> int2b();my = setup_score(bpm => 120 , channel => 9 );for my (-> @* ) { for my (@) { if () { -> n('en' , 40 ); # snare patch } else { -> r('en' ); } } } -> write_score('perldotcom-2.mid' ); Your browser does not support the audio element. A little better. Like a syncopated snare solo.Another way to play the MIDI file is to use timidity . On my mac, with the soundfont specified in the timidity.cfg configuration file, this would be:timidity -c ~/timidity.cfg -Od perldotcom-2.mid timidity -c ~/timidity.cfg perldotcom-2.mid -Ow -o - | ffmpeg -i - -acodec libmp3lame -ab 64k perldotcom-2.mp3 use MIDI::Util qw(setup_score) ;use Music::CreatingRhythms ();my = Music::CreatingRhythms-> new ;my = -> compm(4 , 2 ); # snare my = -> int2b();my = -> compm(4 , 3 ); # kick my = -> int2b();my = setup_score(bpm => 120 , channel => 9 );for (1 .. 8 ) { # repeats my = -> [ int rand @ ]; my = -> [ int rand @ ]; for my $i (0 .. $#) { # pattern position my @notes = (42 ); # hi-hat every time if (-> [$i]) { push @notes, 40 ; } if (-> [$i]) { push @notes, 36 ; } -> n('en' , @notes); } } -> write_score('perldotcom-3.mid' ); Your browser does not support the audio element. Here we play generated kick and snare patterns, along with a steady hi-hat.Next up, let’s look at rhythmic “necklaces.” Here we find many grooves of the world.The Geometry of Musical Rhythm Rhythm necklaces are circular diagrams of equally spaced, connected nodes. A necklace is a lexicographical ordering with no rotational duplicates. For instance, the necklaces of 3 beats are [[1, 1, 1], [1, 1, 0], [1, 0, 0], [0, 0, 0]]. Notice that there is no [1, 0, 1] or [0, 1, 1]. Also, there are no rotated versions of [1, 0, 0], either.So, how many 16 beat rhythm necklaces are there?my = -> neck(16 );print scalar @, "\n" ; # 4116 of 'em! 8 instead, pull a random choice, and play the pattern with a percussion instrument.use MIDI::Util qw(setup_score) ;use Music::CreatingRhythms ();my = shift || 75 ; # claves my = Music::CreatingRhythms-> new ;my = -> neck(8 );my = -> [ int rand @ ];my = setup_score(bpm => 120 , channel => 9 );for (1 .. 4 ) { # repeats for my (@) { # pattern position if () { -> n('en' , ); } else { -> r('en' ); } } } -> write_score('perldotcom-4.mid' ); Your browser does not support the audio element. Here we choose from all necklaces. But note that this also includes the sequence with all ones and the sequence with all zeroes. More sophisticated code might skip these.More interesting would be playing simultaneous beats.use MIDI::Util qw(setup_score) ;use Music::CreatingRhythms ();my = Music::CreatingRhythms-> new ;my = -> neck(8 );my = -> [ int rand @ ];my = -> [ int rand @ ];my = -> [ int rand @ ];my = setup_score(bpm => 120 , channel => 9 );for (1 .. 4 ) { # repeats for my $i (0 .. $#) { # pattern position my @notes; if (-> [$i]) { push @notes, 75 ; # claves } if (-> [$i]) { push @notes, 63 ; # hi_conga } if (-> [$i]) { push @notes, 64 ; # low_conga } -> n('en' , @notes); } } -> write_score('perldotcom-5.mid' ); Your browser does not support the audio element. How about Euclidean patterns? What are they, and why are they named for a geometer?Euclidean patterns are a set number of positions P that are filled with a number of beats Q that is less than or equal to P. They are named for Euclid because they are generated by applying the “Euclidean algorithm,” which was originally designed to find the greatest common divisor (GCD) of two numbers, to distribute musical beats as evenly as possible.use MIDI::Util qw(setup_score) ;use Music::CreatingRhythms ();my = Music::CreatingRhythms-> new ;my = 16 ;my = -> rotate_n(4 , -> euclid(2 , )); # snare my = -> euclid(2 , ); # kick my = -> euclid(11 , ); # hi-hats my = setup_score(bpm => 120 , channel => 9 );for (1 .. 4 ) { # repeats for my $i (0 .. - 1 ) { # pattern position my @notes; if (-> [$i]) { push @notes, 40 ; # snare } if (-> [$i]) { push @notes, 36 ; # kick } if (-> [$i]) { push @notes, 42 ; # hi-hats } if (@notes) { -> n('en' , @notes); } else { -> r('en' ); } } } -> write_score('perldotcom-6.mid' ); Your browser does not support the audio element. Now we’re talkin’ - an actual drum groove! To reiterate, the euclid() method distributes a number of beats, like 2 or 11, over the number of beats, 16. The kick and snare use the same arguments, but the snare pattern is rotated by 4 beats, so that they alternate.So what have we learned today? That you can use mathematical functions to generate sequences to represent rhythmic patterns. That you can play an entire sequence or simultaneous notes with MIDI. References: here
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Bosa/Wu: Private equity is about to eat its own software portfolio Furnished content.here
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Palantir's technology gives the West a critical edge in Middle East, CEO Alex Karp says Furnished content.here
posted at: 12:00am on 13-Mar-2026/Technology permalink | edit (requires password)
Sam Altman faced 'serious questions' in meeting with lawmakers about OpenAI's defense work Furnished content.here
posted at: 12:00am on 13-Mar-2026/Technology permalink | edit (requires password)
I replaced my router with a Wi-Fi 7 mesh model, and wondered where my dead zones went Furnished content.here
posted at: 12:00am on 13-Mar-2026/Technology permalink | edit (requires password)
I set up smart switches to power my home, and they've made this lazy man into a genius Furnished content.here
posted at: 12:00am on 13-Mar-2026/Technology permalink | edit (requires password)
It's time to admit your router's built-in firewall isn't enough - here's what is Furnished content.here
posted at: 12:00am on 13-Mar-2026/Technology permalink | edit (requires password)
Google sells partial stake in fiber business, becomes minority owner of new venture Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
Atlassian slashes 10% of workforce to 'self-fund' investments in AI and enterprise sales Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
FCC chair slams Amazon for slow satellite launches after it opposed SpaceX data center plan Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
Samsung Galaxy Book 6 Pro review: The smarter buy for professionals on a budget Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
Samsung Galaxy Book 6 Ultra review: This Windows laptop sets a new standard for me Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
A major security flaw could affect 1 in 4 Android phones - here's how to check yours Furnished content.here
posted at: 12:00am on 12-Mar-2026/Technology permalink | edit (requires password)
AI chipmaker Cerebras namedropped by Oracle, alongside Nvidia and AMD Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
When KaOS Linux dropped KDE Plasma, I worried - now I'm loving the new default desktop Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
MacBook Neo review: My biggest concern with Apple's near-perfect budget laptop Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
Oracle stock jumps 9% on earnings beat and increased guidance as cloud revenue climbs 44% Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
Watch this, get rich, lose it all - 8 ways to spot and avoid investment scams on Meta Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
Microsoft backs Anthropic in Pentagon blacklist battle, urges temporary restraining order Furnished content.here
posted at: 12:00am on 11-Mar-2026/Technology permalink | edit (requires password)
Switching to Tor Browser on Android turned out to be more useful than I expected Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
Elon Musk's xAI wants to build a power plant in Mississippi. Regulators plan a key meeting on Election Day Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
I tried GPT-5.4, and most answers were really good - but a few had me concerned Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
YouTube Premium vs. YouTube Premium Lite: Are the upgrades worth the $6 difference? Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
Top permitting-reform Republican, Democratic senators meeting as talks thaw: API chief Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
Bluesky CEO Jay Graber stepping back, former WordPress parent chief Toni Schneider named interim boss Furnished content.here
posted at: 12:00am on 10-Mar-2026/Technology permalink | edit (requires password)
Online age-verification tools spread across U.S. for child safety, but adults are being surveilled Furnished content.here
posted at: 12:00am on 09-Mar-2026/Technology permalink | edit (requires password)
3 tiny gadgets I trust to block electrical surges, data-stealing software, and more Furnished content.here
posted at: 12:00am on 09-Mar-2026/Technology permalink | edit (requires password)
Sony WH-1000XM6 review: Still the king of ANC headphones? My verdict after months of testing Furnished content.here
posted at: 12:00am on 09-Mar-2026/Technology permalink | edit (requires password)
How to turn off HDMI-CEC on your TV - and why doing so is such a big deal Furnished content.here
posted at: 12:00am on 09-Mar-2026/Technology permalink | edit (requires password)
How China is challenging the U.S. to become the next great space power Furnished content.here
posted at: 12:00am on 08-Mar-2026/Technology permalink | edit (requires password)
Iran's internet blackout extends into second week: NetBlocks Furnished content.here
posted at: 12:00am on 08-Mar-2026/Technology permalink | edit (requires password)
Samsung confirms smart glasses capabilities to compete with Meta Ray-Bans - what's coming Furnished content.here
posted at: 12:00am on 08-Mar-2026/Technology permalink | edit (requires password)
Bose QuietComfort Ultra (2nd Gen) review: These headphones give Sony a run for its money Furnished content.here
posted at: 12:00am on 08-Mar-2026/Technology permalink | edit (requires password)
Hate Windows 11? You're gonna hate Windows 12 even more Furnished content.here
posted at: 12:00am on 08-Mar-2026/Technology permalink | edit (requires password)
Palantir rallies 15% for the week as Iran war boosts prospects, muting Anthropic concern Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Amazon says Anthropic's Claude still OK for AWS customers to use outside defense work Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Bose QuietComfort Ultra Headphones (2nd Gen) review: The best Bose has to offer Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Is 8GB of RAM really enough for a Mac in 2026? Short answer: Yes Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Vast wraps $500 million funding round as company vies for NASA space station contract Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Renpho Eyeris Zen review: This eye massager doubles as my meditation tool Furnished content.here
posted at: 12:00am on 07-Mar-2026/Technology permalink | edit (requires password)
Scaling agentic AI means trusting your data - here's what most CDOs are investing in Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
Anthropic CEO says 'no choice' but to challenge Trump admin's supply chain risk designation in court Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
Microsoft says Anthropic's products remain available to customers after Pentagon blacklist Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
MacBook Neo vs. MacBook Air: I compared Apple's new laptops, and here's my winner Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
Morgan Stanley's top tech banker: It's 'wartime, not peacetime' for software Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
Wiim Sound review: This smart speaker is so close to fully replacing my Sonos Furnished content.here
posted at: 12:00am on 06-Mar-2026/Technology permalink | edit (requires password)
Broadcom's custom AI chip business stays hot and gives the bulls a much-needed win Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
Amazon's Bahrain data center targeted by Iran for support of U.S. military, state media says Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
How to clean up your digital footprint - and why it matters more than you think Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
iPhone 17e vs. iPhone 17: I compared the two models to decide which has the better value Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
Bluetooth is working on wireless audio tech I once thought was impossible - what to know Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
Broadcom CEO Hock Tan sees AI chip revenue 'significantly' above $100 billion next year Furnished content.here
posted at: 12:00am on 05-Mar-2026/Technology permalink | edit (requires password)
Sam Altman tells OpenAI staffers that military's 'operational decisions' are up to the government Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
Nvidia, Amazon temporarily close Dubai offices, Google employees stranded amid U.S.-Iran war Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
The lead U.S. cyber agency is stretched thin as Iran hacking threat escalates Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
Is that message spam or real? This Android trick helps you ID the scams Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
Love to customize your Linux desktop? This lightweight distro is great fun for newbies and experts Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
Lenovo showed me its modular ThinkBook laptop, and I wish it wasn't just a concept Furnished content.here
posted at: 12:00am on 04-Mar-2026/Technology permalink | edit (requires password)
OpenAI's Altman admits defense deal was 'opportunistic and sloppy' amid backlash Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
Amazon says drone strikes damaged 3 facilities in UAE and Bahrain Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
Everything Lenovo announced at MWC 2026, including foldables and modular laptops Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
Best of MWC 2026: We found the biggest news from Lenovo, Xiaomi, Honor, more Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
Apple launches lower cost iPhone 17e and a new iPad Air powered by its M4 chip Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
I tried Lenovo's modular ThinkBook laptop, and it's a concept I'd actually root for Furnished content.here
posted at: 12:00am on 03-Mar-2026/Technology permalink | edit (requires password)
'Silent failure at scale': The AI risk that can tip the business world into disorder Furnished content.here
posted at: 12:00am on 02-Mar-2026/Technology permalink | edit (requires password)
The best PS5 settings to change if you want better performance (and privacy) Furnished content.here
posted at: 12:00am on 02-Mar-2026/Technology permalink | edit (requires password)
Deal alert: Lenovo is still selling a $99 Android tablet that I can honestly recommend Furnished content.here
posted at: 12:00am on 02-Mar-2026/Technology permalink | edit (requires password)
How to disable ACR on your TV - and why it makes such a big difference Furnished content.here
posted at: 12:00am on 02-Mar-2026/Technology permalink | edit (requires password)
China's Honor shows off smartphone with robotic camera arm and teases a humanoid robot Furnished content.here
posted at: 12:00am on 02-Mar-2026/Technology permalink | edit (requires password)
3 themes that drove Wall Street's wild week and the new U.S.-Iran conflict wildcard Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
Xiaomi launches flagship smartphone as memory price surge threatens sales Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
Anthropic's Claude hits No. 1 on Apple's top free apps list after Pentagon rejection Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
Samsung Galaxy S26 vs. S26 Plus vs. S26 Ultra: I compared every model to help you decide Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
Samsung Galaxy S26 Ultra vs. Google Pixel 10 Pro XL: This one's seriously close Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
Samsung Galaxy S26 Ultra vs. S24 Ultra: Is the two-year-upgrade worth it? Furnished content.here
posted at: 12:00am on 01-Mar-2026/Technology permalink | edit (requires password)
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