3751/3750: Difference between revisions

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Created page with "{{Infobox Interval | Name = santa fe comma, santafeisma | Color name = TBD | Comma = yes }} The superparticular interval '''3751/3750''', the '''santa fe comma''', is an unnoticeable comma in the 2.3.5.11.31 subgroup, of about 0.4616 cents. It is the difference between two stacked 25/22 acute major seconds and a 31/24 supermajor third. A notable rank-2 temperament that tempers out this comma is escapade. == Etymology == Following the practice..."
 
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The [[superparticular interval]] '''3751/3750''', the '''santa fe comma''', is an [[unnoticeable comma]] in the 2.3.5.11.31 subgroup, of about 0.4616 cents. It is the difference between two stacked [[25/22]] acute major seconds and a [[31/24]] supermajor third. A notable [[rank-2 temperament]] that [[tempers out]] this comma is [[escapade]].
The [[superparticular interval]] '''3751/3750''', the '''santa fe comma''', is an [[unnoticeable comma]] in the 2.3.5.11.31 subgroup, of about 0.4616 cents. It is the difference between two stacked [[25/22]] acute major seconds and a [[31/24]] supermajor third. A notable [[rank-2 temperament]] that [[tempering out|tempers out]] this comma is [[escapade]].


== Etymology ==
== Etymology ==
Following the practice of naming superparticular commas after various real-life objects that happen to associate with their numerator, it has been named the '''santafeisma''' by [[User:Lériendil]] in 2025 for the [https://en.wikipedia.org/wiki/Santa_Fe_3751 Santa Fe 3751] locomotive.
Following the practice of naming superparticular commas after various real-life objects that happen to associate with their numerator, it has been named the '''santafeisma''' by [[User:Lériendil]] in 2025 for the [https://en.wikipedia.org/wiki/Santa_Fe_3751 Santa Fe 3751] locomotive.

Latest revision as of 03:48, 8 August 2025

Interval information
Ratio 3751/3750
Subgroup monzo 2.3.5.11.31 [-1 -1 -4 2 1
Size in cents 0.4616009¢
Names santa fe comma,
santafeisma
Color name TBD
FJS name [math]\displaystyle{ \text{dd1}^{11,11,31}_{5,5,5,5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 23.7457
Weil norm (log2 max(n, d)) 23.7461
Wilson norm (sopfr(nd)) 78
Comma size unnoticeable
Open this interval in xen-calc

The superparticular interval 3751/3750, the santa fe comma, is an unnoticeable comma in the 2.3.5.11.31 subgroup, of about 0.4616 cents. It is the difference between two stacked 25/22 acute major seconds and a 31/24 supermajor third. A notable rank-2 temperament that tempers out this comma is escapade.

Etymology

Following the practice of naming superparticular commas after various real-life objects that happen to associate with their numerator, it has been named the santafeisma by User:Lériendil in 2025 for the Santa Fe 3751 locomotive.