1225/1224

Interval information

Ratio	1225/1224
Factorization	2-3 × 3-2 × 52 × 72 × 17-1
Monzo	[-3 -2 2 2 0 0 -1⟩
Size in cents	1.413829¢
Name	noellisma
FJS name	[math]\displaystyle{ \text{A1}^{5,5,7,7}_{17} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	20.516
Weil height (log2 max(n, d))	20.5171
Wilson height (sopfr(nd))	53
Open this interval in xen-calc

1225/1224, the noellisma, is a 17-limit (also 2.3.5.7.17 subgroup) comma measuring about 1.41 cents. It is the difference between 35/34 and 36/35, and between 49/48 and 51/50.

In terms of commas, it is the difference between the following pairs:

• 273/272 and 351/350
• 325/324 and 442/441
• 375/374 and 540/539
• 385/384 and 561/560
• 595/594 and 1156/1155
• 625/624 and 1275/1274
• 715/714 and 1716/1715
• 833/832 and 2601/2600
• 1089/1088 and 9801/9800

It factors into the following pairs:

• 2401/2400 and 2500/2499
• 2058/2057 and 3025/3024
• 1701/1700 and 4375/4374
• 1275/1274 and 31213/31212

The name derives from Noel, for the numerator or the denominator, when written in decimal system, is reminiscent of the date of Christmas.

Temperaments

Tempering out this comma results in 18/17 being split into two equal parts, each representing 35/34~36/35.

See also

• Unnoticeable comma
• List of superparticular intervals