Intonation or tuning must be done by ear brain as music is to be listened to by humans and not by a machine, frequency counter, spectrum analyzer, electronic tuner etc.
Why?
Because a doubling of frequency (engineering octave) sounds a flat or shrinked smaller octave to human perception or pitch perception by our brain [Terhardt], [Euroelectron].
Pitch, the human perception of height of tone also depends on intensity not only frequency [Stevens].
So what to do?
Play by ear.
For example if a DX7 is used for playing high notes, violins etc, master tuning can be increased a few small steps until the part sounds right. The difference in quality of music produced can be tremendous.
Similarly for bass parts master tuning must be decreased to lower than 440Hz until bass part sounds right or in tune. Subjectively this gives a great bass sound as the brain is now free to listen, not correcting mistskes.
If a Yamaha DX7ii, Korg Triton or other synths which have all note scale programming capability are used, the Pleiades equal temperament or tuning can transform those great instruments to even greater.
See Pleiades tuning - euroelectron
http://euroelectron.blogspot.com/2014/07/pleiades-tuning-for-dx7ii.html
http://euroelectron.blogspot.com/2014/07/making-your-korg-triton-best-worldwide.html
Similar principles apply when editing or programming voices on DX7.
See also previous post on how the Pleiades tuning had been created. This would be useful for improving it or creating improved versions of other temperaments such as for example just A minor tuning etc.
References:
Sound and Hearing - Stevens Warshofsky - timenLife science series
Streched Octaves - Terhardt
Engineering vs Musical octaves - euroelectron
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