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
Color name	17uzzyy1, subizoyo unison
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
Comma size	unnoticeable
S-expressions	S35, S49 × S50
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.

Commatic relations

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

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

Temperaments

Tempering out this comma in the 17-limit results in the noellismic temperament, where 18/17 is split into two equal parts, each representing 35/34~36/35.

Etymology

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

See also

• Unnoticeable comma
• List of superparticular intervals