Plainsound Harmonic Space Calculator

USER GUIDE
dark theme
decimal places

REFERENCE
pitch class & Hz of 1/1


octave (SPN)

tempered diatonic pitch

tempered accidental


1/1 frequency (Hz)



tuning meter setting


1/1 = 0 cents
1/1 cents relative to meter setting

frequency of tempered A4 on meter



EDO cross-comparison


# of equal steps per octave



INPUT
HEJI notation palette


octave (SPN)

Pythagorean diatonic pitch

Helmholtz-Ellis accidental (HEJI2)

5o u5
7o u7
u11 11o
13o u13
17o u17
u19 19o
u23 23o
u29 29o
31o u31
u37 37o
u41 41o
u43 43o
u47 47o

INPUT
JI ratio (input × offset)


offset ratio


 
input ratio


 


OUTPUT
normalise


HEJI notation

ratio
tuning meter read-out
frequency
cents from reference
0
 Tenney harmonic distance (HD)
0
 harmonic space coordinates (monzo)
0,0,0,0,0,0,0,0,0,0,0
ratio in EDO steps + error
0
\
53
  
0
cents

software pitch bends

from MIDI pitch

Sibelius pb range ± cents
command
~B 0,64
Finale pb range ± cents
value
Musescore “tuning” ± 200 cents
cent value

MELODIC DISTANCE
from ratio I to ratio II


ratio I


 
ratio II


 

melodic ratio
1 : 1

melodic step in cents
0.00
 frequency difference
0.000000
 Tenney harmonic distance (HD)
0.000000
 harmonic space coordinates (monzo)
0,0,0,0,0,0,0,0,0,0,0
melodic ratio in EDO steps + error
0
\
53
  
0
cents

SCALE BUILDER
Scala file format


filename



short description



 

current # of pitches
1

remove pitch from scale



download file

Note:
1/1 is implicit in the Scala file format;
input pitches are automatically normalised
and sorted, thus scales are octave-repeating.

AUTO-NORMALISED ENHARMONIC PITCH-CLASS COMPARISON

simplified to a Pythagorean notation modified, optionally, by up to
3 syntonic commas and/or one of the primes 7, 11 or 13, and
inflected by up to 3 strokes each signifying ca. 1/6-comma
19° = 512:513 | 17° = 255:256 | 29° = 144:145

primes to include
3     5     7     11     13     17     19     29     toggle 17-19-29 (strokes)
cent input (interval to ref)


frequency input (interval to ref)



tolerance range (0 - 1200 c)

minimum & maximum HD values
  
maximum size of output list



sort by cents deviation   sort by HD
3 5 7 11 13 17 19 23 29 ratio interval (cents) delta (cents) HD HE notation