Homothetic just intonation is a kind of extended just intonation conceived by Sui-hin Mak. The term 'homothetic' refers to the homothetic formula. It aims at producing the pitches in between notes of an existing JI pitch collection.

31-tone homothetic just scale generated by 11-limit JI:

frequency ratio	cents value	names
1/1	0	unison
546/517	94.484004
241/220	156.835547
243/220	172.143348
2213/1980	192.603625
1981/1748	216.628435
97/84	249.114503	semifourth
569/480	294.473096
1201/990	334.482865
977/792	363.429758
1223/968	404.814542
281/220	423.679928
573/437	469.082231
511/376	531.108755
1107/800	562.299980
99/70	600.088324
159/110	637.827890
761/517	669.278608
6001/3933	731.487292
1973/1260	776.360667
1219/770	795.321330
981/605	836.781593
399/242	865.658039
27/16	905.865003
97/56	951.069504	semitwelve
3085/1748	983.478365
4429/2475	1007.462966
2191/1210	1027.898924
241/132	1042.194260
535/282	1108.612475
2/1	1200	octave

Links

Homothetic Just Intonation by Sui-hin Mak