Sulbasutrisma: Difference between revisions
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{{ | {{Mathematical interest}} | ||
{{Infobox | {{Infobox interval | ||
| Ratio = 332929/332928 | | Ratio = 332929/332928 | ||
| Name = | | Name = sulbasutrisma | ||
| Color name = | | Color name = 577oo17uu-2 | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''332929/332928''', the ''' | '''332929/332928''', the '''sulbasutrisma''' is an [[unnoticeable comma|unnoticeable]] 2.3.17.577-subgroup [[comma]] which is the difference between 577/408 and its [[octave complement]] 816/577. It is also the difference between a stack of twice [[577/576]] and [[289/288]]. As 577/408 is a convergent to sqrt(2), like [[3/2]], [[7/5]], [[17/12]], [[41/29]], [[99/70]], and 239/169, the comma separating the two is [[superparticular]]. | ||
== Etymology == | == Etymology == | ||
This comma was named by [[User:2^67-1|Cole]] in 2024 after the {{w|Shulba Sutras|''Sulba Sutra''}}, a classical Indian mathematical text from the third or fourth century BC that first mentioned this accurate approximation to the square root of two. | This comma was named by [[User:2^67-1|2^67-1 (alias Cole Whitewood)]] in 2024 after the {{w|Shulba Sutras|''Sulba Sutra''}}, a classical Indian mathematical text from the third or fourth century BC that first mentioned this accurate approximation to the square root of two. | ||
[[Category:Commas referencing a famous use of a number]] | |||
Latest revision as of 07:25, 4 October 2026
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
reduced
332929/332928, the sulbasutrisma is an unnoticeable 2.3.17.577-subgroup comma which is the difference between 577/408 and its octave complement 816/577. It is also the difference between a stack of twice 577/576 and 289/288. As 577/408 is a convergent to sqrt(2), like 3/2, 7/5, 17/12, 41/29, 99/70, and 239/169, the comma separating the two is superparticular.
Etymology
This comma was named by 2^67-1 (alias Cole Whitewood) in 2024 after the Sulba Sutra, a classical Indian mathematical text from the third or fourth century BC that first mentioned this accurate approximation to the square root of two.