XenGaming Group
The XenGaming Group consists of four commas that are all ten orders of magnitude smaller than the previous.
They are superparticular and very low-limit for their sizes, with the exception of Imlikeheywhatsuphellosma.
Imlikeheywhatsuphellosma
Ratio 72289292179/72000000000
Monzo 2.3.5.13.137.499.6257 [-12, -2, -9, 2, 1, 1, 1⟩
Size in cents 6.942069420
Glitch Productions trying to gaslight me into believing Orbsman is my favorite character:
Costcoguysma
Ratio 3993000000001/3993000000000
Monzo 2.3.5.11.73.197.617.619.727 [-9, -1, -9, -3, 1, 1, 1, 1, 1⟩
Size in cents 4.3356725496 x 10^-10
Special properties superparticular
We’re Costco guys! Of course we go shopping while eating a chicken bake! We’re Costco guys! Of course we have to try the new double chunk chocolate cookie! We’re Costco guys! Of course we have to try out the new furniture! We’re Costco guys! Of course we work out with the tires! We’re Costco guys! What the heck is this thing? We’re Costco guys! Of course we look at every TV in the place every time we come in! We’re Costco guys! Of we course we get the sample even though we’ve bought the thing the last three times we were here! We’re Costco guys! Of course we cool off in the milk fridge! We’re Costco guys! I’m still eating my chicken bake!
Chikawagasma
Ratio 89999982226560877486576/89999982226560877486575
Monzo 2.3.5.7.11.19.31.83.149.173.227.607.739.1069.1697.4967.5393.14731.136337 [4, -1, -2, -2, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1⟩
Size in cents 1.9235937677 x 10^-20
Special properties superparticular
Is this the smallest comma of 2024?
XenGamesma
Ratio 999998999999001000998999999000001/999998999999001000998999999000000
Monzo 2.3.5.7.11.13.37.89.101.211.241.2161.9091.9901.185167.1073221.1823537.31005749 [-6, 6, -6, 3, 3, 3, 2, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1⟩
Size in cents 1.7312357803 x 10^-30
Special properties superparticular
Lore
The numerator is 999999 x 999999999999 x 1000000000000001, with a largest prime factor of 9901. The denominator (one less) has a largest prime factor of 31005749, which is quite small for an arbitrary number of its size. This comma was used to construct Young Sheltone.
Young Sheltone
Steps In Order
135/128 200/189 1073221/1000001 200/189 31005749/30076930 20058907/19645651 250/241 13/12 16/15 128/121 185167/178717 125/117 267/250 999998999999001000998999999000001/999998999999001000998999999000000
Tuning (Cents)
92.178716460997070677843513599408 190.115235125379523402786765483608 312.450131392794069888503135337470 410.386650057176522613446387221670 463.040759408021149259057580719498 499.080384633379290686700225333773 562.554322751929800239370631277029 701.126983655852974971059083647683 812.858268925630739782189035523035 910.222384196117324903717723381132 971.602545475020704263525742957321 1086.106023569439728631527038536332 1199.999999999999999999999999999998 1200.000000000000000000000000000000
Tuning (Ratios)
135/128 125/112 134152625/112000112 3353815625/2646002646 20797513092205625/15916727272711356 417175380947835056751875/312694469061869123712756 52146922618479382093984375/37679683521955229407387098 52146922618479382093984375/34781246327958673299126552 20858769047391752837593750/13042967372984502487172457 242720221642376760292000000/143472641102829527358897027 44943775280853977572988764000000/25640999999974384640999999974359 5617971910106747196623595500000000/2999996999997003002996999997000003 1999997999998002001997999998000000/999998999999001000998999999000001 2/1