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Hindu calendar only includes Umbra as an eclipse. Penumbra (here B) can affect a wider area of place and last longer as well. Partial eclipse also occurs in the Penumbra. So why is only Umbra counted as an eclipse?

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  • Penumbral Eclipse occurs when the moon passes through Penumbral region of the shadow without touching Umbral region of the shadow. Penumbral Lunar Eclipses are of less important and often go unnoticed as those are not visible to the naked eye. Hindu calendar doesn't even list Penumbral Eclipse and ignores it completely. – Rakesh Joshi Aug 8 '17 at 17:20
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I believe the answer lies in your question itself - Total Eclipse occurs only for an observer in the Umbra region. Penumbral Lunar Eclipses are not visible to the naked eye hence no rituals related to Chandra Grahan are generally observed.

However, if the eclipse is visible then it may be counted. Last night's (Shravan Purnima - 7th August 2017) partial Lunar Eclipse was mentioned even resulted in the Muhurat for Rakshabandhan being shortened.

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It is due to the Lunar Eclipse that the time was shortened:

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