Piano Tuning in 13-limit JI
I am offering a Microtonality Crash Course beginning January 10, 2021! In 8 weekly Zoom sessions on Sundays we will explore the mathematics of harmony, just intonation, infinite divisions of the octave, and the farthest reaches of n-dimensional pitch space. Participants will tear down the walls of 12-tone equal temperament and develop techniques for exploring new harmonic architecture. For complete details, please download the syllabus: drive.google.com/file/d/1Vl63...
www.jacobadler.us
Opus Claviblasticum (2017) for 3 pianos in 13-limit just intonation, 4 percussionists, organ, and nonet: jacobadler.blogspot.com/p/opus...
Пікірлер: 64
I'm sure glad I stumbled upon this. 24-TET colored my perception of "neutral" intervals for the worse, but hearing them in a justly tuned context gives a whole new perspective.
Crunchy!
I love the septimal stuff.
You are really inspiring.
Amazing !
I like that tuning.
Great video. I love 13-limit temperament, although it is always difficult to decide exactly which pitches to use, as ideally, I would like to divide the octave into more the 12, in order to permit more transposition (and to perhaps permit standard major chords on each of the primes).
I could listen to that piano for an hour.
3:26 - 3:30 umm well now I need to hear a cover of Britney Spears' 'Everytime' in 13-limit JI ...
I love the Well-Tuned Piano's sound, the only issue for me is the length. I'm no stranger to listening to longer pieces but I seriously have to break up that composition into a few chunks. Also, I love the crunchy sounds you're getting out of this tuning, so otherworldly! :D
@jacob_adler
Ай бұрын
Thanks! I also listen to the Well-Tuned Piano in chunks - I don't think I've ever listened to the 5 or so hours in one sitting.
C# should be 21/20 because of its relationship with A# (7/4) and E# (21/16) which are separated from it by 6/5 and 5/4 respectively, and forms a minor chord.
@G8tr1522
Жыл бұрын
nice suggestion. guess that makes a 12:15:20 in the overtone series.
Man, I wish I could own a piano tuned this way some day
A piece played on this piano would be cool.
Is it the same as Wendy Carlos Super just scale?
Not sure about the tuning of that bass fundamental note. I might have tuned that differently but with short strings there are no right answers
What tuning wrench can you recommend?
Jacob, could you publish a tuning chain for the aural tuner? (me)
@jacob_adler
3 жыл бұрын
Hi Greg, by tuning chain do you mean an order of intervals for tuning? Here are the ratios in ascending order: 1:1, (no C# was used, but 33:32 is a good placeholder), 9:8, 7:6, 5:4, 21:16, 11:8, 3:2, 13:8, 27:16, 7:4, 15:8. I might tune them in this order: 1:1, 3:2, 9:8, 27:16, 5:4, 15:18, 7:4, 7:6, 21:16, 11:8, 13:8.
You know, with a split-key setup you could have an even fuller gamut with 13/12, 11/9, 13/9, 14/9 and 11/6 sticking to the pattern.
Is there someway you could summerize limit tunings for me,I have been trying to learn what a limit tuning really is and how it works but I don't entirely get it 😔...
@jacob_adler
3 жыл бұрын
A prime-limit tuning in just intonation indicates the highest prime number multiple used. For example, Pythagorean tuning is 3-limit because 3 is the highest prime number multiple used to generate tones (no primes higher than 3, such as 5 or 7, are used in such a tuning). A 7-limit tuning may use multiples of 3, 5, and 7, but not prime numbers higher than 7. The scale used in this video is 13-limit because I do not use prime numbers higher than 13.
@vrai3078
3 жыл бұрын
@@jacob_adler but by multiples does that mean like just multiplying the number itself like how in 3 limit you can only make ratios based off the numbers 2 and 3 like 3/2 ,8/6,12/8,6/4 etc? If so does that basically mean that 13 limit is using any ratio that can be constructed with only the numbers 2,3,5,7,11,13 and their multiples like double for example , 4,6,10,14,22,26 and any other multiples in combination? Like 14/10 ?
@jacob_adler
3 жыл бұрын
@@vrai3078 Correct. Usually the fractions are reduced so that 14/10 becomes 7/5.
@vrai3078
3 жыл бұрын
@@jacob_adler thank you so much for the information :D Btw do tou have a scl. or tun. File for the tuning in your video?
@jacob_adler
3 жыл бұрын
@@vrai3078 I don't have a .scl file, but the ratios are 1:1, (no C# was used, but 33:32 is a good placeholder), 9:8, 7:6, 5:4, 21:16, 11:8, 3:2, 13:8, 27:16, 7:4, 15:8
Beautiful!! Is there a Scala file available for this system?
@jacob_adler
23 күн бұрын
I don't have a scala file, but you could input these ratios: 1:1, (no C# was used, but 33:32 is a good placeholder), 9:8, 7:6, 5:4, 21:16, 11:8, 3:2, 13:8, 27:16, 7:4, 15:8
@PipEastop
13 күн бұрын
@@jacob_adler Thanks, Jacob. I'm using Pianoteq 8, which has very good implementation of different piano tunings, as I'm sure you know. Sadly, I'm not clever enough to know how to input the list of ratios you provided. Could you please point me in the right direction for learning how to do this? I'm very keen to use your amazing scale and write some music for it.
@jacob_adler
12 күн бұрын
@@PipEastop I haven’t used pianoteq before but i found these instructions which might help: To input ratios for tuning scales in Pianoteq 8, you can follow these steps: 1. Open the Advanced Tuning panel in Pianoteq 8. 2. Select "Other" from the Temperament options. 3. Click on "Scale" and then "Edit". 4. In the Scale Editor, you can input ratios for each note in the scale: - You can enter ratios directly as fractions (e.g. 3/2, 5/4) or as decimal numbers. - Alternatively, you can enter cents values. 5. For each note in the scale, adjust the ratio or cents value to achieve your desired tuning. 6. You can also use the "Tuning presets" option to select from pre-defined scales, including various historical temperaments and equal divisions of the octave. 7. If you want to import a more complex scale, Pianoteq supports importing Scala (.scl) files[2]. To do this: - Click on "Import" in the Scale Editor - Select your .scl file - Note that you need Pianoteq Standard or Pro to import external Scala files[2] 8. Remember that changing the tuning can affect the timbre of the instrument. Pianoteq offers options to either stretch the strings or rebuild the piano with new strings when changing tuning, which can help preserve timbre[4]. 9. For microtonal scales with more than 12 notes per octave, you may need to use Pianoteq's extended MIDI layout feature, which allows up to 2048 notes across 16 MIDI channels[1]. 10. After inputting your desired ratios, you can save the custom scale for future use. Remember that experimenting with different ratios and listening carefully to the results is key to finding the tuning that works best for your musical needs. Pianoteq's real-time adjustments allow for immediate audition of your changes, making it an excellent tool for exploring alternative tunings[3]. Sources [1] Software documentation - Modartt www.modartt.com/user_manual?lang=en&product=pianoteq [2] tunings in scala (Page 1) - Pianoteq user forum forum.modartt.com/viewtopic.php?id=4212 [3] Microtonality in Pianoteq 8 (Tutorial) - KZread kzread.info/dash/bejne/aY2NrdKxfrGZptY.html [4] Piano tuning and timbre, Pianoteq model and pianos generally forum.modartt.com/viewtopic.php?id=11039 [5] Hermode tuning (Page 1) - Pianoteq user forum forum.modartt.com/viewtopic.php?id=3473 [6] PIANOTEQ 8 | Comprehensive Demo | All The New Features kzread.info/dash/bejne/e66kmtJupZS3f84.html [7] alternate tunings and tonality (Page 1) - Pianoteq user forum forum.modartt.com/viewtopic.php?id=6355 [8] Surge Synth Team Tuning Guide surge-synthesizer.github.io/tuning-guide/ [9] Piano Tuner talks about Pianoteq, again! | How a Piano Works kzread.info/dash/bejne/h4CY2tmThbvVcrw.html [10] Tuning (Page 1) - Pianoteq user forum forum.modartt.com/viewtopic.php?id=122 [11] Scala Home Page - Stichting Huygens-Fokker www.huygens-fokker.org/scala/ [12] Beautiful sonority with no changes to the settings in Pianoteq. kzread.info/dash/bejne/nGiHp8miZdOndKQ.html [13] 12tET tunings and Pianoteq (n00b question).... (Page 1) forum.modartt.com/viewtopic.php?id=968 [14] MIDI Guitar 2 & Modartt Pianoteq 8/Classical Guitar - KZread kzread.info/dash/bejne/Y2GLlKmaaauypLg.html [15] Piano always out of tune (Page 1) - Pianoteq user forum forum.modartt.com/viewtopic.php?id=7101
Sounds absolutely fantastic! Do you by any chance have a .scl file for this tuning?
@jacob_adler
3 жыл бұрын
Thanks! I don't have a .scl file, but the ratios are 1:1, (no C# was used, but 33:32 is a good placeholder), 9:8, 7:6, 5:4, 21:16, 11:8, 3:2, 13:8, 27:16, 7:4, 15:8
@kennethlien7997
3 жыл бұрын
@@jacob_adler Thanks!
@alaeifR
3 жыл бұрын
@@kennethlien7997 ! adler-claviblasticum.scl ! A 13 limit tuning by Jacob Adler as per kzread.info/dash/bejne/gZmT2qOmdLjVXZs.html 12 ! 33/32 9/8 7/6 5/4 21/16 11/8 3/2 13/8 27/16 7/4 15/8 2/1
Wait, did I miss what's on C#/Db?
@jacob_adler
3 жыл бұрын
It's an 11-tone scale - C# is the odd one out.
@dardhadard837
Жыл бұрын
@@jacob_adler why not tune c# to a 17/16 relationship with c?
@jacob_adler
Жыл бұрын
@@dardhadard837 17/16 would certainly work, but I did not need a C# for this particular composition.
@dardhadard837
Жыл бұрын
@@jacob_adler thanks for clarifying
Great demonstration Jacob! Thanks for sharing. Did you know that this tuning, except two intervals, is the same as Terry Riley's tuning for Cactus Rosary (1993)? Riley used a 49/48 for C#, and used 49/32 instead of 27/16 (swapping places with 13/8). kzread.info/dash/bejne/d2errK6maaarg8o.html
@jacob_adler
3 жыл бұрын
Nice! I'm checking out Cactus Rosary now - thanks for the recommendation!
Here's a simple open just 7th chord tuning on electric guitar: kzread.info/dash/bejne/iqSEt7qrkpm5fsY.html
@jacob_adler
2 жыл бұрын
Nice!
4:58 how bout an 8-week course on how to use scala??? seriously...I'm about to give up on this shit if i can't play along.
@jacob_adler
Жыл бұрын
I recommend trying web-based Sevish Scale Workshop for a quick and easy way to experiment with tunings: sevish.com/scaleworkshop/?version=2.1.0
@G8tr1522
4 ай бұрын
i tried that btw, and it got me started, thank you 😅 btw, I'm doing similar stuff as you did here, just in midi. I only realized this now.
That minor triad is so sad 😔
@jacob_adler
3 жыл бұрын
It's devastating.
@wizard1370
2 жыл бұрын
It is not minor minor contains only primes of 2 3 5, anything above that is something entirely new
@ruebene2223
2 жыл бұрын
Says who?
@Silikone
2 жыл бұрын
@@ruebene2223 Some call it subminor to distinguish it from the conventional minor interval.
@cactusowo1835
2 жыл бұрын
Because the septimal minor 3rd has a septimal comma less into it (7 comma = 31¢ "cents") 12edo minor 3rd is 300¢ Septimal minor 3rd is 269¢, which is a bit darker, it also creates a septimal major 3rd, which is a wider major 3rd 431¢. A perfect fifth above 269¢ there is 969¢ which is the seventh harmonic.
Oh no the opus is gone
@The_SOB_II
Ай бұрын
Nm founed it
It's hard to find JI music that's musically appealing, except for Jon Catler (& w/Hansford Rowe) and Robert Rich.
@jacob_adler
2 жыл бұрын
Here are some of my favorites: La Monte Young's Well-Tuned Piano: kzread.info/dash/bejne/iIysvKWMcbq7gJs.html Terry Riley's The Harp of New Albion: kzread.info/head/OLAK5uy_lI5rJKDFOeqWn2Yr82DVik6DhsENUTWgY Harry Partch's Delusion of the Fury: kzread.info/dash/bejne/oomG17iGoLLSprw.html Toby Twining's Chrysalid Requiem: kzread.info/head/OLAK5uy_kzciIXrBOB0rPQ8xG7VmmNP3Nq6irgJWo
@epiphoney
2 жыл бұрын
@@jacob_adler Have you heard Hansford Rowe's Steel Blue on Band Camp? It sounds like Jimi Hendrix. I can't link it, or else youtube will delete the comment.
@jacob_adler
2 жыл бұрын
@@epiphoney I will check it out- thanks for the recommendation!
@adamedmour9704
Жыл бұрын
You should check out South Indian music. The Carnatic 12 tone scale is a very close just intonated analog to equal temperament. It’s very musical and normal sounding as it’s not at all far off from the intonation you might here from an older pop singer, or a French horn or a clarinet or a slide guitar.
@epiphoney
Жыл бұрын
@@jacob_adler Also Hansford Rowe - No Other and JCG - Jesus Got a Gun on Band Camp. It's a rock context, but I think a good mixture of tuning and songwriting.
MuaHahaha!