Hunt Intonation Quality Grade Point Average (IQGPA) Calculator

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)
Experimentally
Confirmed
JND
(none) Narrow Range
500 Hz - 2 kHz
AverageWide Range
60 Hz - 5 kHz
edges of
musical
range
outside
musical
range
Average
JND
0½1 2> 2
TargetHITMISS
± ¢ Error 10¢11¢12¢ ≥ 13¢
Standing PASSFAIL
IQPerfectExcellentGood FairPoorWrong
Grade PA+AA- B+BB- C+CC- D+DD- F
Points 121110 987 654 32100

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
Type in an ET and a series of intervals as decimal values or ratios, separated by commas.

ET:    Intervals:

  Tab delimited results are ready to be copied and pasted into a spreadsheet:


Hunt Pitch Name Calculator

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
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
A = 440 Hz. Type in a Hertz value.   Hz   

or

Tab delimited results are ready to be copied and pasted into a spreadsheet:


Hunt Interval Name Calculator

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                  
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
Type in a decimal value or a ratio.

Interval:   
¢
= Ç   J

Tab delimited results are ready
to be copied and pasted into a spreadsheet: