Talk:List of superparticular intervals: Difference between revisions
More information and cents values on the 1197/1196 |
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== 1197/1196 == | == 1197/1196 == | ||
This comma is the difference between the 63/52 (332.208 cents) and smaller 23/19 (330.769 cents) thirds. The 1197/1196 (1.447 cents) is close in size to 1/10 of the Secorian comma (28672/28431 at 14.613 cents, so a regular chain of fifths tuned 1/10 Secorian comma wide at 703.416 cents, or 1.461 cents larger than 3:2) will produce a near-just 23/19 at 330.747 cents, 0.014 cents narrow, from +9 fifths (augmented second). | This comma is the difference between the 63/52 (332.208 cents) and smaller 23/19 (330.769 cents) supraminor thirds. The 1197/1196 (1.447 cents) is close in size to 1/10 of the Secorian comma (28672/28431 at 14.613 cents, so a regular chain of fifths tuned 1/10 Secorian comma wide at 703.416 cents, or 1.461 cents larger than 3:2) will produce a near-just 23/19 at 330.747 cents, 0.014 cents narrow, from +9 fifths (augmented second). | ||
== Subpaging == | |||
As this page is growing nonstop, it's getting harder and harder to navigate. I'd like to wrap the higher limits into a number of subpages, perhaps starting with 29 or 37. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 13:30, 22 July 2025 (UTC) | |||
: Sounds reasonable to me. I'd start with the 29-limit, which is the first table to exceed 100 lines. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 19:21, 22 July 2025 (UTC) | |||
Latest revision as of 19:21, 22 July 2025
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This page also contains archived Wikispaces discussion. |
On generation of superparticular intervals
There's a python script which, slightly modified (remove a print statement with stats, add a print statement for y2), can produce numerators of the ratios: [1]. --Plumtree (talk) 21:16, 18 October 2022 (UTC)
1197/1196
This comma is the difference between the 63/52 (332.208 cents) and smaller 23/19 (330.769 cents) supraminor thirds. The 1197/1196 (1.447 cents) is close in size to 1/10 of the Secorian comma (28672/28431 at 14.613 cents, so a regular chain of fifths tuned 1/10 Secorian comma wide at 703.416 cents, or 1.461 cents larger than 3:2) will produce a near-just 23/19 at 330.747 cents, 0.014 cents narrow, from +9 fifths (augmented second).
Subpaging
As this page is growing nonstop, it's getting harder and harder to navigate. I'd like to wrap the higher limits into a number of subpages, perhaps starting with 29 or 37. FloraC (talk) 13:30, 22 July 2025 (UTC)