User:BudjarnLambeth/Beginners

This user page is editable by any wiki editor. As a general rule, most users expect their user space to be edited only by themselves, except for minor edits (e.g. maintenance), undoing obviously harmful edits such as vandalism or disruptive editing, and user talk pages. However, by including this message box, the author of this user page has indicated that this page is open to contributions from other users (e.g. content-related edits). Author comments: Please create criteria for inclusion which include at most 50 intervals. Then replace my list of intervals with a list of intervals that meet the new criteria.

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

See also List of intervals (Huygens-Fokker foundation)

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
25/24	70.672427	yy1, yoyo unison	A125	chroma, classic chromatic semitone, Zarlinian 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
9/8	203.910002	w2, wa 2nd	M2	Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
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
13/11	289.209719	3o1u3, tholu 3rd	m31311	tridecimal minor third
6/5	315.641287	g3, gu 3rd	m35	classic minor third, just minor third
11/9	347.407941	1o3, ilo 3rd	m311	undecimal neutral third
5/4	386.313714	y3, yo 3rd	M35	classic major third, just major third, octave-reduced 5th harmonic
14/11	417.507964	1uz4, luzo 4th	P4711	undecimal major third, undecimal 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
4/3	498.044999	w4, wa 4th	P4	just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
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
7/5	582.512193	zg5, zogu 5th	d575	augmented fourth, septimal tritone, Huygen's 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
3/2	701.955001	w5, wa 5th	P5	just perfect fifth, octave-reduced 3rd harmonic, diapente
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
8/5	813.686286	g6, gu 6th	m65	classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
13/8	840.527662	3o6, tho 6th	m613	lesser tridecimal neutral sixth, octave-reduced 13th harmonic
5/3	884.358713	y6, yo 6th	M65	classic major sixth, just 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
7/4	968.825906	z7, zo 7th	m77	subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
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
11/6	1049.362941	1o7, ilo 7th	m711	undecimal neutral seventh, 21/4-tone
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
21/11	1119.462965	1uz8, luzo 8ve	P8711	large undecimal diminished octave, undecimal major seventh
25/13	1132.099766	3uyy7, thuyoyo 7th	A75,513	lesser tridecimal diminished octave
2/1	1200	w8, wa octave	P8	octave, diapason