The Hunt Intonation Quality (IQ) is a metric for the measurement of tuning errors based on the size of the 6¢ average JND for pitch, summarized in the table below. A complete explanation is given in the section of Chapter 7 on the Hunt system scale.
Hunt System of Intonation Quality (IQ) | ||||||||||||||
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Experimentally Confirmed JND | (none) | Narrow Range 500 Hz - 2 kHz | Average | Wide Range 60 Hz - 5 kHz |
edges of musical range | outside musical range | ||||||||
Average JND | 0 | ½ | 1 | 1½ | 2 | > 2 | ||||||||
Target | HIT | MISS | ||||||||||||
± ¢ Error | 0¢ | 1¢ | 2¢ | 3¢ | 4¢ | 5¢ | 6¢ | 7¢ | 8¢ | 9¢ | 10¢ | 11¢ | 12¢ | ≥ 13¢ |
Standing | PASS | FAIL | ||||||||||||
IQ | Perfect | Excellent | Good | Fair | Poor | Wrong | ||||||||
Grade | P | A+ | A | A- | B+ | B | B- | C+ | C | C- | D+ | D | D- | F |
Points | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | 0 |
This Javascript calculator gives a tally of IQ scores called an IQ Grade Point Average (IQGPA) for a list of intervals mapped to an arbitrary equal temperament (ET). Cent values, ET cent mappings, cent errors, IQ points and IQ grades are listed for each interval. Use it to find out how well an ET reproduces a set of desired intervals.
Hunt System IQGPA Calculator | ||||||||||||||
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Type in an ET and a series of intervals as decimal values or ratios, separated by commas. |
The preferred pitch names of the Hunt system (when the Key center is C) are summarized in the table below. An explanation and complete list of possible pitch names is given in the section of Chapter 7 on Hunt system pitches.
Hunt System Preferred Pitch Names | ||||||||||||||||||||||||||||||||||||||||||
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Preferred Pitch Name |
D | ≈ E + D |
∼ E | E | + E | ‡ E ≈ E |
∼ E | E | + E | ∼ F | F | + F | ‡ F ≈ F |
∼ F | F | + F | ∼ G | G | + G | ≈ G ∼ A |
∼ G A |
G + A |
+ G ‡ A |
∼ A | A | + A | ∼ B | B | + B | ‡ B ≈ B |
∼ B | B | + B | ∼ C | C | + C | ‡ C ≈ C |
∼ C | C | + C | ∼ D ‡ C |
D |
Ç | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 |
This Javascript calculator converts a frequency in Hertz to a Hunt system preferred pitch name (or names) where A = 440 Hz and the Key center is C.
Hunt System Pitch Name Calculator | ||
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The preferred interval names of the Hunt system are summarized in the table below. An explanation and complete list of possible interval names is given in the section of Chapter 7 on Hunt system intervals.
Hunt System Preferred Interval Names | ||||||||||||||||||||||||||||||||||||||||||
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Preferred Interval Name |
P1 | Nm2 L1 |
Sm2 | m2 | Lm2 | Wm2 NM2 |
SM2 | M2 | LM2 | Sm3 | m3 | Lm3 | Wm3 NM3 |
SM3 | M3 | LM3 | S4 | P4 | L4 | Na4 Sd5 |
Sa4 d5 |
a4 Ld5 |
La4 Wd5 |
S5 | P5 | L5 | Sm6 | m6 | Lm6 | Wm6 NM6 |
SM6 | M6 | LM6 | Sm7 | m7 | Lm7 | Wm7 NM7 |
SM7 | M7 | LM7 | S8 WM7 |
P8 |
Ç | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 |
This Javascript calculator converts a decimal or ratio into a Hunt system preferred interval name or names. Cent values, comma steps, JND fine tunings and interval names are output.
Hunt System Interval Name Calculator | ||
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Type in a decimal value or a ratio. |