User:BudjarnLambeth/Beginners

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Return to gallery lobby: Gallery of just intervals

The following is an exhibit featuring a small, carefully curated collection of [[just intonation] intervals. It is intended to include those few intervals which stand out above the rest as particularly audible or structurally essential.

Criteria for inclusion

The criteria for an interval's inclusion are:

The interval must be between 1/1 and 2/1 (inclusive)
(To be determined)

If it meets those criteria, it is welcome to be added.

The collection

If any FJS names are missing, please add them.

Frequency Ratio	Cents Value (six decimal places)	Color Name	FJS Name	Some common names
1/1	0	w1, wa unison	P1	unity, perfect prime, Tonic
33/32	53.272943	1o1, ilo unison	P1¹¹	undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
28/27	62.960904	z2, zo 2nd	m2⁷	small septimal chroma, septimal third-tone, subminor second, septimal minor second
27/26	65.337341	3u1, thu unison	A1₁₃	small tridecimal third tone
26/25	67.900234	3ogg2, thogugu 2nd	d2¹³₂₅	large tridecimal third tone
25/24	70.672427	yy1, yoyo unison	A1²⁵	chroma, classic chromatic semitone, Zarlinian semitone
24/23	73.680654	23u1, twethu unison	m2₂₃	lesser vicesimotertial semitone
23/22	76.956405	23o1u2, twetholu 2nd	A1²³₁₁	greater vicesimotertial semitone
22/21	80.537035	1or1, loru unison	P1¹¹₇	undecimal minor semitone
21/20	84.467193	zg2, zogu 2nd	m2⁷₅	minor semitone, large septimal chroma
20/19	88.800698	19uy1, nuyo unison	A1⁵₁₉	small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
19/18	93.603014	19o2, ino 2nd	m2¹⁹	large undevicesimal semitone, undevicesimal limma, Boethius' semitone
18/17	98.954592	17u1, su unison	A1₁₇	small septendecimal semitone, Arabic lute index finger
17/16	104.955410	17o2, iso 2nd	m2¹⁷	large septendecimal semitone, octave-reduced 17th harmonic
16/15	111.731285	g2, gu 2nd	m2₅	classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
15/14	119.442808	ry1, ruyo unison	A1⁵₇	septimal diatonic semitone
14/13	128.298245	3uz2, thuzo 2nd	M2⁷₁₃	tridecimal 2/3-tone, trienthird, tridecimal supraminor second
13/12	138.572661	3o2, tho 2nd	m2¹³	tridecimal neutral second, tridecimal 2/3-tone
12/11	150.637059	1u2, lu 2nd	M2₁₁	small undecimal neutral second, 3/4-tone
11/10	165.004228	1og2, logu 2nd	m2¹¹₅	undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
10/9	182.403712	y2, yo 2nd	M2⁵	classic (whole) tone, minor (whole) tone
19/17	192.557607	19o17u2, nosu 2nd	M2¹⁹₁₇	quasi-meantone
9/8	203.910002	w2, wa 2nd	M2	Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
17/15	216.686695	17og3, sogu 3rd	d3¹⁷₅	septendecimal whole tone, septendecimal eventone
8/7	231.174094	r2, ru 2nd	M2₇	supermajor second, septimal whole tone, octave-reduced 7th subharmonic
15/13	247.741053	3uy2, thuyo 2nd	A2⁵₁₃	tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
7/6	266.870906	z3, zo 3rd	m3⁷	subminor third, septimal minor third
20/17	281.358304	17uy2, suyo 2nd	A2⁵₁₇	septendecimal augmented second, septendecimal minor third
13/11	289.209719	3o1u3, tholu 3rd	m3¹³₁₁	tridecimal minor third
19/16	297.513016	19o3, ino 3rd	m3¹⁹	otonal minor third, octave-reduced 19th harmonic
6/5	315.641287	g3, gu 3rd	m3₅	classic minor third, just minor third
23/19	330.761331	23o19u3, twethonu 3rd	A2²³₁₉	vicesimotertial supraminor third
17/14	336.129503	17or3, soru 3rd	m3¹⁷₅	septendecimal supraminor third
11/9	347.407941	1o3, ilo 3rd	m3¹¹	undecimal neutral third
16/13	359.472338	3u3, thu 3rd	M3₁₃	greater tridecimal neutral third, octave reduced 13subharmonic
21/17	365.825498	17uz3, suzo 3rd	M3⁷₁₇	septendecimal submajor third
5/4	386.313714	y3, yo 3rd	M3⁵	classic major third, just major third, octave-reduced 5th harmonic
19/15	409.244301	19og4, nogu 4th	d4¹⁹₅	Eratosthenes' major third
14/11	417.507964	1uz4, luzo 4th	P4⁷₁₁	undecimal major third, undecimal diminished fourth
23/18	424.364346	23o4, twetho 4th	M3²³	vicesimotertial diminished fourth
9/7	435.084095	r3, ru 3rd	M3₇	supermajor third, septimal major third
13/10	454.213948	3og4, thogu 4th	d4¹³₅	tridecimal semisixth, Barbados third, tridecimal 9/4 tone
17/13	464.427748	17o3u4, sothu 4th	P4¹⁷₁₃	septendecimal sub-fourth
25/19	475.114412	19uyy3, nuyoyo 3rd	A3^5,5₁₉	undevicesimal augmented third, undevicesimal grave fourth
4/3	498.044999	w4, wa 4th	P4	just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
23/17	523.318938	23o17u4, twethosu 4th	A3²³₁₇	vicesimotertial acute fourth
15/11	536.950772	1uy4, luyo 4th	A4⁵₁₁	undecimal augmented fourth, subaugmented fourth
11/8	551.317942	1o4, ilo 4th	P4¹¹	super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
18/13	563.382340	3u4, thu 4th	A4₁₃	tridecimal augmented fourth
7/5	582.512193	zg5, zogu 5th	d5⁷₅	augmented fourth, septimal tritone, Huygen's tritone
17/12	603.000409	17o5, iso 5th	d5¹⁷	larger septendecimal tritone
10/7	617.487807	ry4, ruyo 4th	A4⁵₇	diminished fifth, Euler's tritone, superaugmented fourth
13/9	636.617660	3o5, tho 5th	d5¹³	tridecimal diminished fifth
16/11	648.682058	1u5, lu 5th	P5₁₁	sub-fifth, octave-reduced 11th subharmonic
19/13	656.985354	19o3u5, nothu 5th	P5¹⁹₁₃	undevicesimal subfifth
25/17	667.672018	17uyy4, suyoyo 4th	AA4^5,5₁₇	vengeance subfifth
3/2	701.955001	w5, wa 5th	P5	just perfect fifth, octave-reduced 3rd harmonic, diapente
26/17	735.572252	17u3o5, sutho 5th	P5¹³₁₇	septendecimal super-fifth
20/13	745.786052	3uy5, thuyo 5th	A5⁵₁₃	tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
17/11	753.637467	17o1u6, solu 6th	m6¹⁷₁₁	septendecimal subminor sixth
14/9	764.915905	z6, zo 6th	m6⁷	subminor sixth, septimal minor sixth
11/7	782.492036	1or5, loru 5th	P5¹¹₇	undecimal subminor sixth, undecimal augmented fifth
19/12	795.558015	19o6, ino 6th	m6¹⁹	large undevicesimal minor sixth, Boethius' minor sixth
8/5	813.686286	g6, gu 6th	m6₅	classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
21/13	830.253246	3uz6, thuzo 6th	M6⁷₁₃	tridecimal supraminor sixth
13/8	840.527662	3o6, tho 6th	m6¹³	lesser tridecimal neutral sixth, octave-reduced 13th harmonic
18/11	852.592059	1u6, lu 6th	M6₁₁	undecimal neutral sixth
23/14	859.448441	23or6, twethoru 6th	A5²³₇	vicesimotertial neutral sixth
5/3	884.358713	y6, yo 6th	M6⁵	classic major sixth, just major sixth
22/13	910.790821	3u1o6, thulo 6th	M6¹¹₁₃	tridecimal major sixth
17/10	918.641696	17og7, sogu 7th	d7¹⁷₅	septendecimal diminished seventh, septendecimal major sixth
12/7	933.129094	r6, ru 6th	M6₇	supermajor sixth, septimal major sixth
19/11	946.195074	19o1u7, nolu 7th	m7¹⁹₁₁	undevicesimal semitwelfth, maximal major sixth
26/15	952.258947	3og7, thogu 7th	d7¹³₅	tridecimal semitwelfth
7/4	968.825906	z7, zo 7th	m7⁷	subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
23/13	987.746686	23o3u7, twethothu 7th	A6²³₁₃	vicesimotertial minor seventh
16/9	996.089998	w7, wa 7th	m7	Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
9/5	1017.596288	g5, gu 7th	m7₅	classic minor seventh, large minor seventh
20/11	1034.995772	1uy7, luyo 7th	M7⁵₁₁	undecimal supraminor seventh, small undecimal neutral seventh
11/6	1049.362941	1o7, ilo 7th	m7¹¹	undecimal neutral seventh, 21/4-tone
24/13	1061.427339	3u7, thu 7th	M7₁₃	tridecimal neutral seventh
13/7	1071.701755	3or7, thoru 7th	m7¹³₇	tridecimal submajor seventh, 16/3-tone
15/8	1088.268715	y7, yo 7th	M7⁵	classic major seventh, just major seventh, octave-reduced 15th harmonic
17/9	1101.045408	17o8, iso octave	d8¹⁷	septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
19/10	1111.199302	19og8, nogu 8ve	d8¹⁹₅	undevicesimal diminished octave, Eratosthenes' major seventh
21/11	1119.462965	1uz8, luzo 8ve	P8⁷₁₁	large undecimal diminished octave, undecimal major seventh
23/12	1126.319346	23o8, twetho 8ve	M7²³	large vicesimotertial major seventh
25/13	1132.099766	3uyy7, thuyoyo 7th	A7^5,5₁₃	lesser tridecimal diminished octave
27/14	1137.039096	r7, ru 7th	M7₇	supermajor seventh, septimal major seventh
31/16	1145.035572	31o7, thiwo 7th	M7³¹	tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
35/18	1151.239619	zy8, zoyo octave	P8³⁵	septimal semidiminished octave
2/1	1200	w8, wa octave	P8	octave, diapason