The IHD just displays the value which EOn have uploaded to your meter.
On the off chance your meter can store both tariff values you may be able to get them to upload both.
However if like me your meter can only store a single tariff value your IHD will only ever show that one value.
I can't be certain but I have a feeling that the IHD would just show the current active value anyway so to see the cheaper rate you'd have to view it in the early morning.
What I've done is downloaded the Bright app, which downloads your ½ hourly usage from the meter - this only picks up my single tariff from the meter but you can override this and
actually insert the time and value of your two tariffs into Bright so it displays the actual true cost of your usage.
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