Stromian Tuplet Notation: Difference between revisions
No edit summary |
Tags: Mobile edit Mobile web edit |
||
| (21 intermediate revisions by the same user not shown) | |||
| Line 4: | Line 4: | ||
== Nested Tuplets == | == Nested Tuplets == | ||
The notation system used | [[File:Stromian tuplet notation 2.jpg|thumb|Nested tuplet used frequently in The Black Page by Frank Zappa|199x199px]] | ||
In STN, the '''nest tuplet''' '''(outside tuplet)''' is written with the numerator at the beginning and the denominator at the end, the contents of which are written in a bracketed section in between, which includes the nested tuplet and however many beats come before and or after it. In this page's main image, the "11[ ]:8" is the nest tuplet, the "8:6" is the nested tuplet, and the "+5" is the leftover beats in the nest tuplet. | |||
The '''nested tuplet's denominator''' and '''leftover beats''' will always add up to the '''nest tuplet's numerator,''' making the nest tuplet's numerator redundant. The purpose of writing the nest tuplet's numerator at all is to make it more legible. The idea is for the human reader to glance at "7[1+3:2+4]:4", see the "7[ ]:4" and immediately think "So it's a septuplet. Now to figure out what's inside". The notation system used by the [https://metrictrees.netlify.app/ MeTr] music tool on [https://chambercode.com/ ChamberCode] is very similar to STN for nested tuplets, except it doesn’t have STN’s redundant nest tuplet numerator. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Stromian vs. Metr notation | |+Stromian vs. Metr notation | ||
| Line 21: | Line 24: | ||
== Bridge Tuplets == | == Bridge Tuplets == | ||
[[File:Bridge Tuplet Visualization.jpg|thumb|200x200px| | [[File:Bridge Tuplet Visualization.jpg|thumb|200x200px|[7:4+6:4][5+6:4+4]:8]]One way of notating [[Bridge Tuplets|bridge tuplets]] in STN is by using '''two''' bracketed sections, the '''first''' one laying out the two tuplets being bridged, and the '''second''' one laying out where the bridge tuplet starts, its ratio, and where it ends. For example, a bridge tuplet in which a '''7:4''' and a '''6:4''' are being bridged by a '''6:4''' somewhere in the middle could be written like [7:4+6:4][5+6:4+4]. | ||
One way of notating [[Bridge Tuplets|bridge tuplets]] in STN is by using '''two''' bracketed sections, the '''first''' one laying out the two tuplets being bridged, and the '''second''' one laying out where the bridge tuplet starts, its ratio, and where it ends. For example, a bridge tuplet in which a '''7:4''' and a '''6:4''' are being bridged by a '''6:4''' somewhere in the middle could be written like [7:4+6:4][5+6:4+4]. | |||
== Limitations == | == Limitations == | ||
[[File:Nested nested triplet.jpg|thumb|200x200px|Nested nested triplet]] | |||
[[File:Non-dyadic nested bridge tuplet.jpg|thumb|200x200px|<nowiki>8[[4:3+7:5][2+7:6+3]]:8/7</nowiki>]] | |||
=== Ambiguity === | === Ambiguity === | ||
When written with STN, the exact length of the tuplet can be ambiguous. If there’s a 4 in the denominator, that could mean that the tuplet is 4 ''quarter notes'' long, but it could also be 4 ''eighth notes'', 4 ''sixteenth notes'', etc. This ambiguity can be solved by writing the denominator as a '''time signature''' instead of a plain number. | When written with STN, the exact length of the tuplet can be ambiguous. If there’s a 4 in the denominator, that could mean that the tuplet is 4 ''quarter notes'' long, but it could also be 4 ''eighth notes'', 4 ''sixteenth notes'', etc. This ambiguity can be solved by writing the nest tuplet's denominator as a '''time signature''' instead of a plain number. | ||
11[8:6+5]:'''8''' —> 11[8:6+5]:'''8/8''' | 11[8:6+5]:'''8''' —> 11[8:6+5]:'''8/8''' | ||
=== Legibility === | === Legibility === | ||
A triplet inside of a nested triplet is pretty easy to conceptualize when reading it on sheet music, as opposed to STN, where it would be written like “3[3[3:2+1]:2+1]:2”. STN has its limitations, but it allows those familiar with it to glance at “11[6+9:5]:8” and think “ah yes, a 11:8 tuplet with a nested 9:5 at the end”. | A triplet inside of a nested triplet is pretty easy to conceptualize when reading it on sheet music, as opposed to STN, where it would be written like “3[3[3:2+1]:2+1]:2”. STN has its limitations, but it allows those familiar with it to glance at “11[6+9:5]:8” and think “ah yes, a 11:8 tuplet with a nested 9:5 at the end”. | ||
[[Category:Music Theory]] | [[Category:Music Theory]] | ||
Latest revision as of 05:41, 21 June 2026
Stromian tuplet notation is a system for expressing tuplets. The main purpose of STN is to convey complicated tuplet ideas over text. The system strikes a balance between legibility and efficiency.
It can get frustrating when you send your homie a Fizz WIP and they ask “what’s that rhythm 8 seconds in?” To which you reply “It’s a bar long triplet but the first and last of those 3 beats are both nonuplets, and the beat in the middle is just filled with 8th notes. Or 8th note triplets rather... Never mind, you get what I mean. Actually I'll draw a picture and send it...". STN allows you to reply with "it's 3[9:1+4:1+9:1]:2/2" like an absolute chad.
Nested Tuplets
In STN, the nest tuplet (outside tuplet) is written with the numerator at the beginning and the denominator at the end, the contents of which are written in a bracketed section in between, which includes the nested tuplet and however many beats come before and or after it. In this page's main image, the "11[ ]:8" is the nest tuplet, the "8:6" is the nested tuplet, and the "+5" is the leftover beats in the nest tuplet.
The nested tuplet's denominator and leftover beats will always add up to the nest tuplet's numerator, making the nest tuplet's numerator redundant. The purpose of writing the nest tuplet's numerator at all is to make it more legible. The idea is for the human reader to glance at "7[1+3:2+4]:4", see the "7[ ]:4" and immediately think "So it's a septuplet. Now to figure out what's inside". The notation system used by the MeTr music tool on ChamberCode is very similar to STN for nested tuplets, except it doesn’t have STN’s redundant nest tuplet numerator.
| Tuplet | Notation | |
|---|---|---|
| Stromian | 11:8 with a nested 8:6 at the beginning | 11[8:6+5]:8 |
| Metr | 11:8 with a nested 8:6 at the beginning | [8:6+5]:8 |
Bridge Tuplets
One way of notating bridge tuplets in STN is by using two bracketed sections, the first one laying out the two tuplets being bridged, and the second one laying out where the bridge tuplet starts, its ratio, and where it ends. For example, a bridge tuplet in which a 7:4 and a 6:4 are being bridged by a 6:4 somewhere in the middle could be written like [7:4+6:4][5+6:4+4].
Limitations
Ambiguity
When written with STN, the exact length of the tuplet can be ambiguous. If there’s a 4 in the denominator, that could mean that the tuplet is 4 quarter notes long, but it could also be 4 eighth notes, 4 sixteenth notes, etc. This ambiguity can be solved by writing the nest tuplet's denominator as a time signature instead of a plain number.
11[8:6+5]:8 —> 11[8:6+5]:8/8
Legibility
A triplet inside of a nested triplet is pretty easy to conceptualize when reading it on sheet music, as opposed to STN, where it would be written like “3[3[3:2+1]:2+1]:2”. STN has its limitations, but it allows those familiar with it to glance at “11[6+9:5]:8” and think “ah yes, a 11:8 tuplet with a nested 9:5 at the end”.