Helmholtz-Ellis 31-Limit Harmonic Space Calculator

information     plainsound.org     JOHNSTON to HE Converter

REFERENCE
spelling of 1/1

INPUT
notation

INPUT
ratio

OUTPUT
normalise

MELODIC DISTANCE
from interval A to B

octave

diatonic pitch (12 EDO)

accidental (12 EDO)

frequency of 1/1 (Hz)

frequency of A4 (Hz)

octave

diatonic pitch

accidentals

5 5
7 7
11 11
13 13
17 17
19 19
23 23
29 29
31 31
offset


 
input





ratio

notation



cent deviation
0

interval to ref (cents)
0
frequency (Hz)
440.000000
Tenney harmonic distance (HD)
0
monzo (harmonic space coordinates)
0,0,0,0,0,0,0,0,0,0,0
interval A


 
interval B




melodic ratio
1 : 1

melodic step (cents)
0.00
frequency difference (Hz)
0.000000
HD
0.000000


23-LIMIT AUTO-NORMALISED ENHARMONIC PITCH-CLASS COMPARISON


primes to include
3     5     7     11     13     17     19     23     all/none
cent input (interval to ref)

frequency input (interval to ref)


tolerance range (0 - 1200 c)

minimum & maximum HD values
  
maximum size of output list


limit number of accidentals
1   2   3
sort by cents deviation   sort by HD
3 5 7 11 13 17 19 23 ratio interval (cents) delta (cents) HD HE notation

cc 2018 Thomas Nicholson, Version 2.1
Attribution - NonCommercial - ShareAlike
developed in collaboration with Marc Sabat and Rafal Rawicki