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Do you feel the pain is worse if you tilt your head to the right? And better if you tilt the head to the left?
Well, this sounds as if it is muscular type pain that you are feeling, and perhaps coming from an area in the neck.
When the facet joints in the cervical spine become irritated due to degenerative changes (arthritis), they can cause pain that appears to be a dull pain that involves the neck muscles on that side, which sounds a bit like what you are describing. Other times, a nerve in the "upper" cervical spine can become irritated causing pains, but that is often more of a sharp pain which is felt in the same areas.
Nevertheless, your doctor can evaluate you and see if further imaging can help in the diagnosis, which often starts with a cervical xray, then a MRI for pain which lasts for more than 6-8 weeks.