Stromian Tuplet Notation - Revision history

Fizzwikiadmin: /* Nested Tuplets */

2026-06-21T09:41:10Z

Nested Tuplets

← Older revision		Revision as of 05:41, 21 June 2026
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	== Nested Tuplets ==		== Nested Tuplets ==
	[[File:Stromian tuplet notation 2.jpg\|thumb\|Nested tuplet used frequently in The Black Page by Frank Zappa\|199x199px]]		[[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 ~~rest of the rest of the~~ beats in the nest tuplet.		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.		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.
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	\|[8:6+5]:8		\|[8:6+5]:8
	\|}		\|}

	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[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].		[[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].

Fizzwikiadmin at 05:05, 21 June 2026

2026-06-21T05:05:38Z

← Older revision		Revision as of 01:05, 21 June 2026
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	~~Unfinished page!!!~~[[File:Stromian tuplet notation 1.jpg\|thumb\|Nested tuplet from polyriddim by phonon\|399x399px]]'''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.		[[File:Stromian tuplet notation 1.jpg\|thumb\|Nested tuplet from polyriddim by phonon\|399x399px]]'''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.		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.

Fizzwikiadmin at 04:58, 21 June 2026

2026-06-21T04:58:45Z

← Older revision		Revision as of 00:58, 21 June 2026
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	\|}		\|}
	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[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]:8.		[[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].

	== Limitations ==		== Limitations ==
	[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]		[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]
	[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|[4:3+7:5][2+7:6+3]:8/7]]		[[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 nest tuplet's 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.

Fizzwikiadmin: /* Bridge Tuplets */

2026-06-21T04:56:36Z

Bridge Tuplets

← Older revision		Revision as of 00:56, 21 June 2026
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	\|}		\|}
	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[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].		[[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]:8.

	== Limitations ==		== Limitations ==

Fizzwikiadmin at 04:55, 21 June 2026

2026-06-21T04:55:28Z

← Older revision		Revision as of 00:55, 21 June 2026
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	== Limitations ==		== Limitations ==
	[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]		[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]
	[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]:8/7]]		[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|[4:3+7:5][2+7:6+3]:8/7]]
	=== 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 nest tuplet's 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.

Fizzwikiadmin: /* Bridge Tuplets */

2026-06-21T04:54:43Z

Bridge Tuplets

← Older revision		Revision as of 00:54, 21 June 2026
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	\|}		\|}
	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[File:Bridge Tuplet Visualization.jpg\|thumb\|200x200px\|[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 8[7:4+6:4][5+6:4+4].		[[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].

	== Limitations ==		== Limitations ==
	[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]		[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]
	[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]		[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]:8/7]]
	=== 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 nest tuplet's 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.

Fizzwikiadmin: /* Bridge Tuplets */

2026-06-21T04:24:55Z

Bridge Tuplets

← Older revision		Revision as of 00:24, 21 June 2026
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	\|}		\|}
	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[File:Bridge Tuplet Visualization.jpg\|thumb\|200x200px\|[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].		[[File:Bridge Tuplet Visualization.jpg\|thumb\|200x200px\|[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 8[7:4+6:4][5+6:4+4].

	== Limitations ==		== Limitations ==

Fizzwikiadmin: /* Limitations */

2026-06-21T04:16:34Z

Limitations

← Older revision		Revision as of 00:16, 21 June 2026
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	[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]		[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]
	=== 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'''

Fizzwikiadmin at 04:15, 21 June 2026

2026-06-21T04:15:38Z

← Older revision		Revision as of 00:15, 21 June 2026
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	== Limitations ==		== Limitations ==
			[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]
	[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]		[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]
	~~[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]~~
	=== 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 denominator as a '''time signature''' instead of a plain number.

Fizzwikiadmin at 04:15, 21 June 2026

2026-06-21T04:15:11Z

← Older revision		Revision as of 00:15, 21 June 2026
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	\|}		\|}
	== Bridge Tuplets ==		== Bridge Tuplets ==
	[[File:Bridge Tuplet Visualization.jpg\|thumb\|200x200px\|[7:4+6:4][5+6:4+4]]~~[[File:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]~~		[[File:Bridge Tuplet Visualization.jpg\|thumb\|200x200px\|[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].
	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:Non-dyadic nested bridge tuplet.jpg\|thumb\|200x200px\|8[4:3+7:5][2+7:6+3]/7]]
	[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]		[[File:Nested nested triplet.jpg\|thumb\|200x200px\|Nested nested triplet]]
	=== Ambiguity ===		=== Ambiguity ===